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arxiv: 2605.30498 · v2 · pith:5LWKIL3Cnew · submitted 2026-05-28 · ⚛️ physics.optics · physics.app-ph· physics.atom-ph· quant-ph

Metasurfaces for neutral-atom trapping

Chengyu Fang , Minjeong Kim , Mark Saffman , Jennifer T. Choy , Mikhail Kats This is my paper

Pith reviewed 2026-06-29 05:27 UTC · model grok-4.3

classification ⚛️ physics.optics physics.app-phphysics.atom-phquant-ph
keywords metasurfacesneutral-atom trappingoptical tweezersbottle beamsquantum informationscalable atomic arraysintegrated optics
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The pith

Metasurfaces provide fine control over light to create large-scale neutral-atom traps for quantum technologies

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This review argues that optical metasurfaces, which manipulate the phase, amplitude, and polarization of light with pixel counts far beyond spatial light modulators, can generate arrays of optical tweezers with hundreds of thousands of sites and complex three-dimensional bottle beams. The central claim is that this flexibility and scalability opens a route to miniaturized, integrated atomic experiments and instruments. A sympathetic reader would care because neutral atoms are a leading platform for quantum information processing, yet scaling to utility-scale sizes remains a major engineering barrier. The paper reviews recent demonstrations and positions metasurfaces as an enabling technology to address that barrier.

Core claim

The flexibility and scalability of optical metasurfaces provides a route towards miniaturized, integrated, and highly scalable atomic experiments and instruments by enabling fine control over the phase, amplitude, and polarization of light, with recent demonstrations of tweezer arrays containing hundreds of thousands of sites and arrays of optical bottle-beams with complex three-dimensional trapping profiles.

What carries the argument

Optical metasurfaces that control the phase, amplitude, and polarization of light with high pixel counts

Load-bearing premise

Recent demonstrations of hundreds-of-thousands-site tweezer arrays and complex 3D bottle beams using metasurfaces can be translated into practical, integrated systems without unforeseen engineering barriers

What would settle it

A compact, integrated metasurface device that fails to stably trap and manipulate atoms at scales comparable to current SLM-based systems would falsify the central claim

Figures

Figures reproduced from arXiv: 2605.30498 by Chengyu Fang, Jennifer T. Choy, Mark Saffman, Mikhail Kats, Minjeong Kim.

Figure 1
Figure 1. Figure 1: Approaches to scale neutral-atom tweezer arrays. (a) Schematic of a neutral-atom quan [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Generation of optical bottle beams. (a) Bottle-beam trap generated by destructive [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Multi-functionality, miniaturization, and integration enabled by metasurfaces in atom [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Optical materials for neutral-atom trapping metasurfaces (a) Refractive index ( [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
read the original abstract

Trapped neutral atoms are one of the leading platforms for quantum information technologies, in particular for quantum computing, but scaling them to array sizes needed for utility-scale quantum computing is a major engineering challenge. Here we review optical metasurfaces as an enabling technology that provides fine control over the phase, amplitude, and polarization of light, with pixel counts far exceeding what is available with spatial light modulators (SLMs) and other active devices. The large pixel counts have recently led to demonstrations of arrays of optical tweezers with hundreds of thousands of sites and arrays of optical bottle-beams with complex three-dimensional trapping profiles. The flexibility and scalability of optical metasurfaces provides a route towards miniaturized, integrated, and highly scalable atomic experiments and instruments.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript is a review of optical metasurfaces as an enabling technology for neutral-atom trapping. It contrasts metasurfaces' high pixel counts with the limitations of spatial light modulators (SLMs), cites recent demonstrations of tweezer arrays with hundreds of thousands of sites and complex 3D bottle-beam traps, and concludes that metasurface flexibility offers a route to miniaturized, integrated, and scalable neutral-atom experiments for quantum information applications.

Significance. If the central claim holds, the review usefully synthesizes optical demonstrations that could address scaling bottlenecks in neutral-atom quantum computing by enabling larger and more complex trap arrays than current active devices allow. The identification of pixel-count scaling as the key advantage is a clear strength of the synthesis.

major comments (2)
  1. [Abstract] Abstract, final paragraph: The claim that metasurfaces 'provide a route towards miniaturized, integrated, and highly scalable atomic experiments' is load-bearing for the manuscript's thesis but rests on an implicit assumption that optical-field generation successes translate directly to practical atomic systems; the text supplies no quantitative discussion or parameter estimates addressing UHV compatibility, thermal/alignment stability, atom loading from MOTs, or dynamic reconfigurability for sorting/feedback.
  2. [Full text (review synthesis sections)] The manuscript cites recent demonstrations of large tweezer arrays and 3D bottle beams but does not compare the cited metasurface performance metrics (e.g., numerical aperture, efficiency, or phase/amplitude control fidelity) against the specific requirements for stable neutral-atom trapping (trap depth, lifetime, or loading efficiency), leaving the translation step unexamined.
minor comments (1)
  1. [Abstract] The abstract and concluding paragraph would benefit from explicit forward references to any sections that discuss engineering constraints, even if only to note their absence.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive comments, which help clarify the scope and limitations of our review on metasurfaces for neutral-atom trapping. We respond to each major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract, final paragraph: The claim that metasurfaces 'provide a route towards miniaturized, integrated, and highly scalable atomic experiments' is load-bearing for the manuscript's thesis but rests on an implicit assumption that optical-field generation successes translate directly to practical atomic systems; the text supplies no quantitative discussion or parameter estimates addressing UHV compatibility, thermal/alignment stability, atom loading from MOTs, or dynamic reconfigurability for sorting/feedback.

    Authors: We agree that the abstract claim would be strengthened by additional context on the translation from optical performance to atomic-system requirements. As this is a review synthesizing existing demonstrations rather than presenting new experimental data, the manuscript does not contain original quantitative estimates for UHV compatibility or loading efficiency. In revision we will modify the abstract to qualify the claim and add a concise paragraph in the introduction or outlook section that discusses these practical considerations, citing any available literature on metasurface integration with vacuum systems and noting the current limitations of passive devices for dynamic reconfigurability. revision: partial

  2. Referee: [Full text (review synthesis sections)] The manuscript cites recent demonstrations of large tweezer arrays and 3D bottle beams but does not compare the cited metasurface performance metrics (e.g., numerical aperture, efficiency, or phase/amplitude control fidelity) against the specific requirements for stable neutral-atom trapping (trap depth, lifetime, or loading efficiency), leaving the translation step unexamined.

    Authors: The referee is correct that the review does not include an explicit side-by-side comparison of metasurface metrics with trapping requirements. The cited works report successful atom trapping, which indicates that the demonstrated parameters are adequate, yet a direct mapping would improve clarity. We will add such a comparison—likely as a table in the synthesis section—drawing the relevant numbers from the referenced metasurface papers and standard values from the neutral-atom tweezer literature. This revision stays within the review format and does not require new calculations. revision: yes

Circularity Check

0 steps flagged

Review paper contains no derivations, predictions, or fitted quantities

full rationale

This is a literature review summarizing prior demonstrations of metasurface-enabled tweezer arrays and bottle beams. No equations, parameter fits, or new predictions appear in the provided text or abstract. The scalability claim is a qualitative synthesis of cited external results rather than a derivation that reduces to its own inputs. No self-citation chains, ansatzes, or renamings of known results are load-bearing in a circular manner. The manuscript is self-contained as a review and exhibits no circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The paper is a review article and introduces no free parameters, axioms, or invented entities of its own.

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Reference graph

Works this paper leans on

98 extracted references · 90 canonical work pages · 3 internal anchors

  1. [1]

    Kaufman and Kang-Kuen Ni

    Adam M. Kaufman and Kang-Kuen Ni. Quantum science with optical tweezer arrays of ultra- cold atoms and molecules.Nature Physics, 17(12):1324–1333, November 2021. ISSN 1745-2481. doi: 10.1038/s41567-021-01357-2. URLhttp://dx.doi.org/10.1038/s41567-021-01357-2

    work page doi:10.1038/s41567-021-01357-2 2021

  2. [2]

    Nogrette, H

    F. Nogrette, H. Labuhn, S. Ravets, D. Barredo, L. B´ eguin, A. Vernier, T. Lahaye, and A. Browaeys. Single-atom trapping in holographic 2d arrays of microtraps with arbitrary geometries.Physical Review X, 4(2), May 2014. ISSN 2160-3308. doi: 10.1103/physrevx.4. 021034. URLhttp://dx.doi.org/10.1103/PhysRevX.4.021034

    work page doi:10.1103/physrevx.4 2014

  3. [3]

    In situ single-atom array synthesis using dynamic holographic optical tweezers.Nature Communications, 7(1), October 2016

    Hyosub Kim, Woojun Lee, Han-gyeol Lee, Hanlae Jo, Yunheung Song, and Jaewook Ahn. In situ single-atom array synthesis using dynamic holographic optical tweezers.Nature Communications, 7(1), October 2016. ISSN 2041-1723. doi: 10.1038/ncomms13317. URL http://dx.doi.org/10.1038/ncomms13317

    work page doi:10.1038/ncomms13317 2016

  4. [4]

    Barredo, S

    Daniel Barredo, Sylvain de L´ es´ eleuc, Vincent Lienhard, Thierry Lahaye, and Antoine Browaeys. An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays. Science, 354(6315):1021–1023, November 2016. ISSN 1095-9203. doi: 10.1126/science.aah3778. URLhttp://dx.doi.org/10.1126/science.aah3778

    work page doi:10.1126/science.aah3778 2016

  5. [5]

    Manetsch, Gyohei Nomura, Elie Bataille, Xudong Lv, Kon H

    Hannah J. Manetsch, Gyohei Nomura, Elie Bataille, Xudong Lv, Kon H. Leung, and Manuel Endres. A tweezer array with 6, 100 highly coherent atomic qubits.Nature, 647(8088):60–67,

  6. [6]

    doi: 10.1038/s41586-025-09641-4

    ISSN 1476-4687. doi: 10.1038/s41586-025-09641-4. URLhttp://dx.doi.org/10.1038/ s41586-025-09641-4

    work page doi:10.1038/s41586-025-09641-4

  7. [7]

    Single-atom trapping and transport in dmd-controlled optical tweezers.New Journal of Physics, 20(2):023013, February 2018

    Dustin Stuart and Axel Kuhn. Single-atom trapping and transport in dmd-controlled optical tweezers.New Journal of Physics, 20(2):023013, February 2018. ISSN 1367-2630. doi: 10. 1088/1367-2630/aaa634. URLhttp://dx.doi.org/10.1088/1367-2630/aaa634

    work page doi:10.1088/1367-2630/aaa634 2018

  8. [8]

    Preparation of hundreds of microscopic atomic ensembles in optical tweezer arrays.npj Quantum Information, 6(1), 2020

    Yibo Wang, Sayali Shevate, Tobias Martin Wintermantel, Manuel Morgado, Graham Loc- head, and Shannon Whitlock. Preparation of hundreds of microscopic atomic ensembles in optical tweezer arrays.npj Quantum Information, 6(1), 2020. ISSN 2056-6387. doi: 10.1038/s41534-020-0285-1. URLhttp://dx.doi.org/10.1038/s41534-020-0285-1

    work page doi:10.1038/s41534-020-0285-1 2020

  9. [9]

    Endres, H

    Manuel Endres, Hannes Bernien, Alexander Keesling, Harry Levine, Eric R. Anschuetz, Alexandre Krajenbrink, Crystal Senko, Vladan Vuletic, Markus Greiner, and Mikhail D. Lukin. Atom-by-atom assembly of defect-free one-dimensional cold atom arrays.Science, 354(6315):1024–1027, November 2016. ISSN 1095-9203. doi: 10.1126/science.aah3752. URL http://dx.doi.or...

    work page doi:10.1126/science.aah3752 2016

  10. [10]

    Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, Vladan Vuleti´ c, and Mikhail D

    Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T. Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, Vladan Vuleti´ c, and Mikhail D. Lukin. A quantum processor based on coherent transport of entangled atom arrays.Nature, 604(7906):451–456, April 2022. ISSN 1476-4687. doi: 10.1038/s41586-022-0...

    work page doi:10.1038/s41586-022-04592-6 2022

  11. [11]

    Logical quantum processor based on reconfigurable atom arrays,

    Dolev Bluvstein, Simon J. Evered, Alexandra A. Geim, Sophie H. Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, J. Pablo Bonilla Ataides, Nishad Maskara, Iris Cong, Xun Gao, Pedro Sales Rodriguez, Thomas Karolyshyn, Giulia Semeghini, Michael J. Gullans, Markus Greiner, Vladan Vuleti´ c, and Mikhail D. Luki...

    work page doi:10.1038/s41586-023-06927-3 2024

  12. [12]

    Trapp, Jinen Guo, Mohamed H

    Neng-Chun Chiu, Elias C. Trapp, Jinen Guo, Mohamed H. Abobeih, Luke M. Stewart, Simon Hollerith, Pavel L. Stroganov, Marcin Kalinowski, Alexandra A. Geim, Simon J. Evered, So- phie H. Li, Xingjian Lyu, Lisa M. Peters, Dolev Bluvstein, Tout T. Wang, Markus Greiner, Vladan Vuleti´ c, and Mikhail D. Lukin. Continuous operation of a coherent 3, 000-qubit sys-...

    work page doi:10.1038/s41586-025-09596-6 2025

  13. [13]

    Kemp, and Hannes Bernien

    Kevin Singh, Shraddha Anand, Andrew Pocklington, Jordan T. Kemp, and Hannes Bernien. Dual-element, two-dimensional atom array with continuous-mode operation.Physical Review X, 12(1), March 2022. ISSN 2160-3308. doi: 10.1103/physrevx.12.011040. URLhttp://dx. doi.org/10.1103/PhysRevX.12.011040

    work page doi:10.1103/physrevx.12.011040 2022

  14. [14]

    How to factor 2048 bit RSA integers with less than a million noisy qubits

    Craig Gidney. How to factor 2048 bit rsa integers with less than a million noisy qubits, 2025. URLhttps://arxiv.org/abs/2505.15917

    work page internal anchor Pith review Pith/arXiv arXiv 2048

  15. [15]

    Hengyun Zhou, Casey Duckering, Chen Zhao, Dolev Bluvstein, Madelyn Cain, Aleksander Kubica, Sheng-Tao Wang, and Mikhail D. Lukin. Resource analysis of low-overhead transversal architectures for reconfigurable atom arrays. InProceedings of the 52nd Annual International Symposium on Computer Architecture, SIGARCH ’25, page 1432–1448. ACM, 2025. doi: 10.1145...

    work page doi:10.1145/3695053.3731039 2025

  16. [16]

    Berry, Craig Gidney, William J

    Joonho Lee, Dominic W. Berry, Craig Gidney, William J. Huggins, Jarrod R. McClean, Nathan Wiebe, and Ryan Babbush. Even more efficient quantum computations of chem- istry through tensor hypercontraction.PRX Quantum, 2(3), 2021. ISSN 2691-3399. doi: 10.1103/prxquantum.2.030305. URLhttp://dx.doi.org/10.1103/PRXQuantum.2.030305

    work page doi:10.1103/prxquantum.2.030305 2021

  17. [17]

    Quantum-centric supercomputing for materials science: A perspective on challenges and future directions.Future Generation Computer Systems, 160:666–710, 2024

    Yuri Alexeev, Maximilian Amsler, Marco Antonio Barroca, Sanzio Bassini, Torey Battelle, Daan Camps, David Casanova, Young Jay Choi, Frederic T Chong, Charles Chung, et al. Quantum-centric supercomputing for materials science: A perspective on challenges and future directions.Future Generation Computer Systems, 160:666–710, 2024. doi: 10.1016/j.future. 2024.04.060

    work page doi:10.1016/j.future 2024

  18. [18]

    Madelyn Cain, Qian Xu, Robbie King, Lewis R. B. Picard, Harry Levine, Manuel Endres, John Preskill, Hsin-Yuan Huang, and Dolev Bluvstein. Shor’s algorithm is possible with as few as 10,000 reconfigurable atomic qubits, 2026. URLhttps://arxiv.org/abs/2603.28627

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  19. [19]

    Dumke, M

    R. Dumke, M. Volk, T. M¨ uther, F. B. J. Buchkremer, G. Birkl, and W. Ertmer. Micro- optical realization of arrays of selectively addressable dipole traps: A scalable configuration for quantum computation with atomic qubits.Physical Review Letters, 89(9), August 2002. ISSN 1079-7114. doi: 10.1103/physrevlett.89.097903. URLhttp://dx.doi.org/10.1103/ PhysRe...

    work page doi:10.1103/physrevlett.89.097903 2002

  20. [20]

    Defect-free assembly of 2d clusters of more than 100 single-atom quantum systems.Physical Review Letters, 122(20), May 2019

    Daniel Ohl de Mello, Dominik Sch¨ affner, Jan Werkmann, Tilman Preuschoff, Lars Kohfahl, Malte Schlosser, and Gerhard Birkl. Defect-free assembly of 2d clusters of more than 100 single-atom quantum systems.Physical Review Letters, 122(20), May 2019. ISSN 1079-7114. doi: 10.1103/physrevlett.122.203601. URLhttp://dx.doi.org/10.1103/PhysRevLett.122. 203601

    work page doi:10.1103/physrevlett.122.203601 2019

  21. [21]

    Scalable multilayer architecture of assembled single- atom qubit arrays in a three-dimensional talbot tweezer lattice.Physical Review Letters, 130(18), May 2023

    Malte Schlosser, Sascha Tichelmann, Dominik Sch¨ affner, Daniel Ohl de Mello, Moritz Ham- bach, Jan Sch¨ utz, and Gerhard Birkl. Scalable multilayer architecture of assembled single- atom qubit arrays in a three-dimensional talbot tweezer lattice.Physical Review Letters, 130(18), May 2023. ISSN 1079-7114. doi: 10.1103/physrevlett.130.180601. URLhttp: //dx...

    work page doi:10.1103/physrevlett.130.180601 2023

  22. [22]

    Reservoir-based deterministic loading of single-atom tweezer arrays.Physical Review Re- search, 5(3), 2023

    Lars Pause, Tilman Preuschoff, Dominik Sch¨ affner, Malte Schlosser, and Gerhard Birkl. Reservoir-based deterministic loading of single-atom tweezer arrays.Physical Review Re- search, 5(3), 2023. ISSN 2643-1564. doi: 10.1103/physrevresearch.5.l032009. URLhttp: //dx.doi.org/10.1103/PhysRevResearch.5.L032009

    work page doi:10.1103/physrevresearch.5.l032009 2023

  23. [23]

    Supercharged two-dimensional tweezer array with more than 1000 atomic qubits.Optica, 11(2):222, February 2024

    Lars Pause, Lukas Sturm, Marcel Mittenb¨ uhler, Stephan Amann, Tilman Preuschoff, Dominik Sch¨ affner, Malte Schlosser, and Gerhard Birkl. Supercharged two-dimensional tweezer array with more than 1000 atomic qubits.Optica, 11(2):222, February 2024. ISSN 2334-2536. doi: 10.1364/optica.513551. URLhttp://dx.doi.org/10.1364/OPTICA.513551

    work page doi:10.1364/optica.513551 2024

  24. [24]

    P. Huft, Y. Song, T. M. Graham, K. Jooya, S. Deshpande, C. Fang, M. Kats, and M. Saffman. Simple, passive design for large optical trap arrays for single atoms.Physical Review A, 105 (6), 2022. ISSN 2469-9934. doi: 10.1103/physreva.105.063111. URLhttp://dx.doi.org/10. 1103/PhysRevA.105.063111

    work page doi:10.1103/physreva.105.063111 2022

  25. [25]

    Norrell, Preston Huft, Mikhail A

    Chengyu Fang, Jared Miles, Jonathan Goldwin, Martin Lichtman, Matthew Gillette, Michael Bergdolt, Sanket Deshpande, Sam A. Norrell, Preston Huft, Mikhail A. Kats, and Mark Saffman. Interleaved dual-species arrays of single atoms using a passive optical element and one trapping laser.Science Advances, 11(29), 2025. ISSN 2375-2548. doi: 10.1126/sciadv.adw41...

    work page doi:10.1126/sciadv.adw4166 2025

  26. [26]

    Kats, Francesco Aieta, Jean-Philippe Tetienne, Fed- erico Capasso, and Zeno Gaburro

    Nanfang Yu, Patrice Genevet, Mikhail A. Kats, Francesco Aieta, Jean-Philippe Tetienne, Fed- erico Capasso, and Zeno Gaburro. Light propagation with phase discontinuities: Generalized laws of reflection and refraction.Science, 334(6054):333–337, October 2011. ISSN 1095-9203. doi: 10.1126/science.1210713. URLhttp://dx.doi.org/10.1126/science.1210713

    work page doi:10.1126/science.1210713 2011

  27. [27]

    Quantum information with continuous vari- ables

    M. Saffman, T. G. Walker, and K. Mølmer. Quantum information with rydberg atoms.Reviews of Modern Physics, 82(3):2313–2363, August 2010. ISSN 1539-0756. doi: 10.1103/revmodphys. 82.2313. URLhttp://dx.doi.org/10.1103/RevModPhys.82.2313

    work page doi:10.1103/revmodphys 2010

  28. [28]

    Direct generation of an array with 78400 optical tweezers using a single metasurface.Chinese Physics Letters, 43(1):010606, December 2025

    Yuqing Wang, Yuxuan Liao, Tao Zhang, Ye Tian, Yujia Wu, Wenjun Zhang, Wei Zhang, Yidong Huang, Hui Zhai, Wenlan Chen, Xue Feng, and Zhongchi Zhang. Direct generation of an array with 78400 optical tweezers using a single metasurface.Chinese Physics Letters, 43(1):010606, December 2025. ISSN 1741-3540. doi: 10.1088/0256-307x/43/1/010606. URL http://dx.doi....

    work page doi:10.1088/0256-307x/43/1/010606 2025

  29. [29]

    Trapping of single atoms in metasurface op- tical tweezer arrays.Nature, 649(8098):859–865, January 2026

    Aaron Holman, Yuan Xu, Ximo Sun, Jiahao Wu, Mingxuan Wang, Zezheng Zhu, Bo- jeong Seo, Nanfang Yu, and Sebastian Will. Trapping of single atoms in metasurface op- tical tweezer arrays.Nature, 649(8098):859–865, January 2026. ISSN 1476-4687. doi: 10.1038/s41586-025-09961-5. URLhttp://dx.doi.org/10.1038/s41586-025-09961-5. 14

    work page doi:10.1038/s41586-025-09961-5 2026

  30. [30]

    Silicon-on-sapphire metasurfaces generate arrays of dark and bright traps for neutral atoms

    Chengyu Fang, Minjeong Kim, Hongyan Mei, Xuting Yang, Zhaoning Yu, Yuzhe Xiao, Sanket Deshpande, Preston Huft, Alan M. Dibos, David A. Czaplewski, Mark Saffman, Jennifer T. Choy, and Mikhail A. Kats. Silicon-on-sapphire metasurfaces generate arrays of dark and bright traps for neutral atoms, 2026. URLhttps://arxiv.org/abs/2601.01038

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  31. [31]

    A practical algorithm for the determination of the phase from image and diffraction plane pictures.Optik, 35(2):237–246, 1972

    Ralph W Gerchberg and W Owen Saxton. A practical algorithm for the determination of the phase from image and diffraction plane pictures.Optik, 35(2):237–246, 1972

    1972

  32. [32]

    Beam shaping of complex amplitude with separate constraints on the output beam.Optics Express, 23(2):1052, January 2015

    Shaohua Tao and Weixing Yu. Beam shaping of complex amplitude with separate constraints on the output beam.Optics Express, 23(2):1052, January 2015. ISSN 1094-4087. doi: 10. 1364/oe.23.001052. URLhttp://dx.doi.org/10.1364/OE.23.001052

    work page doi:10.1364/oe.23.001052 2015

  33. [33]

    Optimization-based hologram design for fine optical tweezer arrays and extension of super- resolution criteria.Physical Review A, 113(1), January 2026

    Keisuke Nishimura, Hiroto Sakai, Taro Ando, Takafumi Tomita, and Sylvain de L´ es´ eleuc. Optimization-based hologram design for fine optical tweezer arrays and extension of super- resolution criteria.Physical Review A, 113(1), January 2026. ISSN 2469-9934. doi: 10.1103/ xhb8-jlxh. URLhttp://dx.doi.org/10.1103/xhb8-jlxh

    work page doi:10.1103/xhb8-jlxh 2026

  34. [34]

    Ai-enabled parallel assembly of thousands of defect-free neutral atom arrays.Physical Review Letters, 135(6), August 2025

    Rui Lin, Han-Sen Zhong, You Li, Zhang-Rui Zhao, Le-Tian Zheng, Tai-Ran Hu, Hong-Ming Wu, Zhan Wu, Wei-Jie Ma, Yan Gao, Yi-Kang Zhu, Zhao-Feng Su, Wan-Li Ouyang, Yu-Chen Zhang, Jun Rui, Ming-Cheng Chen, Chao-Yang Lu, and Jian-Wei Pan. Ai-enabled parallel assembly of thousands of defect-free neutral atom arrays.Physical Review Letters, 135(6), August 2025. ...

    work page doi:10.1103/2ym8-vs82 2025

  35. [35]

    Review of energy-efficient train control and timetabling

    Kun Wang, Xiao-Feng Liu, Yuan-An Zhao, Chun-Xian Tao, Jian-Guo Wang, Shao-Zhong Ou, Zhi-Chang Mo, Zhao-Liang Cao, Da-Wei Li, Da-Wei Zhang, and Jian-Da Shao. Phase degradation of liquid crystal variable retarders and preconfiguring method for high-power continuous-wave laser.Optical Materials, 141:113920, 2023. ISSN 0925-3467. doi: 10.1016/j. optmat.2023.1...

    work page doi:10.1016/j 2023

  36. [36]

    Preiss, Ruichao Ma, Alexander Lukin, M

    Philip Zupancic, Philipp M. Preiss, Ruichao Ma, Alexander Lukin, M. Eric Tai, Matthew Rispoli, Rajibul Islam, and Markus Greiner. Ultra-precise holographic beam shaping for microscopic quantum control.Optics Express, 24(13):13881, 2016. ISSN 1094-4087. doi: 10.1364/oe.24.013881. URLhttp://dx.doi.org/10.1364/OE.24.013881

    work page doi:10.1364/oe.24.013881 2016

  37. [37]

    Y. T. Chew, M. Poitrinal, T. Tomita, S. Kitade, J. Mauricio, K. Ohmori, and S. de L´ es´ eleuc. Ul- traprecise holographic optical tweezer array.Physical Review A, 110(5), November 2024. ISSN 2469-9934. doi: 10.1103/physreva.110.053518. URLhttp://dx.doi.org/10.1103/PhysRevA. 110.053518

    work page doi:10.1103/physreva.110.053518 2024

  38. [38]

    Computer generation of optimal holograms for optical trap arrays.Optics Express, 15(4):1913, February 2007

    Roberto Di Leonardo, Francesca Ianni, and Giancarlo Ruocco. Computer generation of optimal holograms for optical trap arrays.Optics Express, 15(4):1913, February 2007. ISSN 1094-4087. doi: 10.1364/oe.15.001913. URLhttp://dx.doi.org/10.1364/OE.15.001913

    work page doi:10.1364/oe.15.001913 1913

  39. [39]

    T.-W. Hsu, W. Zhu, T. Thiele, M. O. Brown, S. B. Papp, A. Agrawal, and C. A. Regal. Single-atom trapping in a metasurface-lens optical tweezer.PRX Quantum, 3(3), August

  40. [40]

    doi: 10.1103/prxquantum.3.030316

    ISSN 2691-3399. doi: 10.1103/prxquantum.3.030316. URLhttp://dx.doi.org/10. 1103/PRXQuantum.3.030316

    work page doi:10.1103/prxquantum.3.030316

  41. [41]

    Masson, Ricardo Gutierrez-Jauregui, Ana Asenjo-Garcia, Sebastian Will, and Nanfang Yu

    Xiaoyan Huang, Weijun Yuan, Aaron Holman, Minho Kwon, Stuart J. Masson, Ricardo Gutierrez-Jauregui, Ana Asenjo-Garcia, Sebastian Will, and Nanfang Yu. Metasurface holo- graphic optical traps for ultracold atoms.Progress in Quantum Electronics, 89:100470, May 15

  42. [42]

    doi: 10.1016/j.pquantelec.2023.100470

    ISSN 0079-6727. doi: 10.1016/j.pquantelec.2023.100470. URLhttp://dx.doi.org/10. 1016/j.pquantelec.2023.100470

    work page doi:10.1016/j.pquantelec.2023.100470 2023

  43. [43]

    Metasurface optical trap array for single atoms.Optics Express, 32(12):21293, May 2024

    Ruiting Huang, Feng Zhou, Xiao Li, Peng Xu, Yi Wang, and Mingsheng Zhan. Metasurface optical trap array for single atoms.Optics Express, 32(12):21293, May 2024. ISSN 1094-4087. doi: 10.1364/oe.525454. URLhttp://dx.doi.org/10.1364/OE.525454

    work page doi:10.1364/oe.525454 2024

  44. [44]

    All-glass 100 mm diameter visible metalens for imaging the cosmos.ACS Nano, 18(4):3187–3198, January 2024

    Joon-Suh Park, Soon Wei Daniel Lim, Arman Amirzhan, Hyukmo Kang, Karlene Karrfalt, Daewook Kim, Joel Leger, Augustine Urbas, Marcus Ossiander, Zhaoyi Li, and Federico Ca- passo. All-glass 100 mm diameter visible metalens for imaging the cosmos.ACS Nano, 18(4):3187–3198, January 2024. ISSN 1936-086X. doi: 10.1021/acsnano.3c09462. URL http://dx.doi.org/10.1...

    work page doi:10.1021/acsnano.3c09462 2024

  45. [45]

    Ok, and Junsuk Rho

    Dong Kyo Oh, Taejun Lee, Byoungsu Ko, Trevon Badloe, Jong G. Ok, and Junsuk Rho. Nanoimprint lithography for high-throughput fabrication of metasurfaces.Frontiers of Opto- electronics, 14(2):229–251, April 2021. ISSN 2095-2767. doi: 10.1007/s12200-021-1121-8. URL http://dx.doi.org/10.1007/s12200-021-1121-8

    work page doi:10.1007/s12200-021-1121-8 2021

  46. [46]

    Optical time domain backscattering of antiresonant hollow core fibers

    Matthew Pasienski and Brian DeMarco. A high-accuracy algorithm for designing arbitrary holographic atom traps.Optics Express, 16(3):2176, 2008. ISSN 1094-4087. doi: 10.1364/oe. 16.002176. URLhttp://dx.doi.org/10.1364/OE.16.002176

    work page doi:10.1364/oe 2008

  47. [47]

    G. Li, S. Zhang, L. Isenhower, K. Maller, and M. Saffman. Crossed vortex bottle beam trap for single-atom qubits.Optics Letters, 37(5):851, February 2012. ISSN 1539-4794. doi: 10.1364/ol.37.000851. URLhttp://dx.doi.org/10.1364/OL.37.000851

    work page doi:10.1364/ol.37.000851 2012

  48. [48]

    Long spin relaxation times in a single-beam blue-detuned optical trap.Physical Review A, 59(3):R1750–R1753, March 1999

    Roee Ozeri, Lev Khaykovich, and Nir Davidson. Long spin relaxation times in a single-beam blue-detuned optical trap.Physical Review A, 59(3):R1750–R1753, March 1999. ISSN 1094-

    1999

  49. [49]

    URLhttp://dx.doi.org/10.1103/PhysRevA.59

    doi: 10.1103/physreva.59.r1750. URLhttp://dx.doi.org/10.1103/PhysRevA.59. R1750

    work page doi:10.1103/physreva.59.r1750

  50. [50]

    S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede. Analysis of dephasing mechanisms in a standing-wave dipole trap.Physical Review A, 72(2), August 2005. ISSN 1094-1622. doi: 10.1103/physreva.72.023406. URL http://dx.doi.org/10.1103/PhysRevA.72.023406

    work page doi:10.1103/physreva.72.023406 2005

  51. [51]

    Ovchinnikov.Optical Dipole Traps for Neutral Atoms, page 95–170

    Rudolf Grimm, Matthias Weidem¨ uller, and Yurii B. Ovchinnikov.Optical Dipole Traps for Neutral Atoms, page 95–170. Elsevier, 2000. ISBN 9780120038428. doi: 10.1016/ s1049-250x(08)60186-x. URLhttp://dx.doi.org/10.1016/S1049-250X(08)60186-X

    work page doi:10.1016/s1049-250x(08)60186-x 2000

  52. [52]

    Saffman and T

    M. Saffman and T. G. Walker. Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped rydberg atoms.Physical Review A, 72(2), August 2005. ISSN 1094-1622. doi: 10.1103/physreva.72.022347. URLhttp://dx.doi.org/10.1103/PhysRevA. 72.022347

    work page doi:10.1103/physreva.72.022347 2005

  53. [53]

    Magic running- and standing-wave optical traps for rydberg atoms.Physical Review A, 111(1), January 2025

    Lukas Ahlheit, Chris Nill, Daniil Svirskiy, Jan de Haan, Simon Schroers, Wolfgang Alt, Nina Stiesdal, Igor Lesanovsky, and Sebastian Hofferberth. Magic running- and standing-wave optical traps for rydberg atoms.Physical Review A, 111(1), January 2025. ISSN 2469-9934. doi: 10.1103/physreva.111.013115. URLhttp://dx.doi.org/10.1103/PhysRevA.111.013115

    work page doi:10.1103/physreva.111.013115 2025

  54. [54]

    Zibrov, Manuel Endres, Markus Greiner, Vladan Vuleti´ c, 16 and Mikhail D

    Hannes Bernien, Sylvain Schwartz, Alexander Keesling, Harry Levine, Ahmed Omran, Hannes Pichler, Soonwon Choi, Alexander S. Zibrov, Manuel Endres, Markus Greiner, Vladan Vuleti´ c, 16 and Mikhail D. Lukin. Probing many-body dynamics on a 51-atom quantum simulator.Nature, 551(7682):579–584, November 2017. ISSN 1476-4687. doi: 10.1038/nature24622. URLhttp: ...

    work page doi:10.1038/nature24622 2017

  55. [55]

    T. Wilk, A. Ga¨ etan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys. Entanglement of two individual neutral atoms using rydberg blockade.Physical Review Letters, 104(1), January 2010. ISSN 1079-7114. doi: 10.1103/physrevlett.104.010502. URLhttp: //dx.doi.org/10.1103/PhysRevLett.104.010502

    work page doi:10.1103/physrevlett.104.010502 2010

  56. [56]

    Raman sideband cooling in optical tweezer arrays for rydberg dressing.SciPost Physics, 10(3), March 2021

    Nikolaus Lorenz, Lorenzo Festa, Lea-Marina Steinert, and Christian Gross. Raman sideband cooling in optical tweezer arrays for rydberg dressing.SciPost Physics, 10(3), March 2021. ISSN 2542-4653. doi: 10.21468/scipostphys.10.3.052. URLhttp://dx.doi.org/10.21468/ SciPostPhys.10.3.052

    work page doi:10.21468/scipostphys.10.3.052 2021

  57. [57]

    R. J. P. T. de Keijzer, O. Tse, and S. J. J. M. F. Kokkelmans. Recapture probability for antitrapped rydberg states in optical tweezers.Physical Review A, 108(2), August 2023. ISSN 2469-9934. doi: 10.1103/physreva.108.023122. URLhttp://dx.doi.org/10.1103/PhysRevA. 108.023122

    work page doi:10.1103/physreva.108.023122 2023

  58. [58]

    Barredo, V

    D. Barredo, V. Lienhard, P. Scholl, S. de L´ es´ eleuc, T. Boulier, A. Browaeys, and T. Lahaye. Three-dimensional trapping of individual rydberg atoms in ponderomotive bottle beam traps. Physical Review Letters, 124(2), January 2020. ISSN 1079-7114. doi: 10.1103/physrevlett.124. 023201. URLhttp://dx.doi.org/10.1103/PhysRevLett.124.023201

    work page doi:10.1103/physrevlett.124 2020

  59. [59]

    Zhang, F

    S. Zhang, F. Robicheaux, and M. Saffman. Magic-wavelength optical traps for rydberg atoms. Physical Review A, 84(4), October 2011. ISSN 1094-1622. doi: 10.1103/physreva.84.043408. URLhttp://dx.doi.org/10.1103/PhysRevA.84.043408

    work page doi:10.1103/physreva.84.043408 2011

  60. [60]

    Isenhower, W

    L. Isenhower, W. Williams, A. Dally, and M. Saffman. Atom trapping in an interferometrically generated bottle beam trap.Optics Letters, 34(8):1159, April 2009. ISSN 1539-4794. doi: 10.1364/ol.34.001159. URLhttp://dx.doi.org/10.1364/OL.34.001159

    work page doi:10.1364/ol.34.001159 2009

  61. [61]

    Wambold, Hongyan Mei, Garrett Hickman, Randall H

    Yuzhe Xiao, Zhaoning Yu, Raymond A. Wambold, Hongyan Mei, Garrett Hickman, Randall H. Goldsmith, Mark Saffman, and Mikhail A. Kats. Efficient generation of optical bottle beams. Nanophotonics, 10(11):2893–2901, 2021. ISSN 2192-8614. doi: 10.1515/nanoph-2021-0243. URLhttp://dx.doi.org/10.1515/nanoph-2021-0243

    work page doi:10.1515/nanoph-2021-0243 2021

  62. [62]

    Kaixiang Cheng, Yan Li, Yi Liu, Yanhua Han, Xiaosai Wang, Jianwen Wu, and Yaqi Zhang. Generation of vectorial structured light carrying bright and dark focus for multifunctional optical trapping via spin-decoupled metasurfaces.Optics Letters, 50(21):6847, October 2025. ISSN 1539-4794. doi: 10.1364/ol.573997. URLhttp://dx.doi.org/10.1364/OL.573997

    work page doi:10.1364/ol.573997 2025

  63. [63]

    Sp¨ agele, Ahmed H

    Soon Wei Daniel Lim, Joon-Suh Park, Dmitry Kazakov, Christina M. Sp¨ agele, Ahmed H. Dorrah, Maryna L. Meretska, and Federico Capasso. Point singularity array with metasurfaces. Nature Communications, 14(1), 2023. ISSN 2041-1723. doi: 10.1038/s41467-023-39072-6. URL http://dx.doi.org/10.1038/s41467-023-39072-6

    work page doi:10.1038/s41467-023-39072-6 2023

  64. [64]

    Singh, C

    K. Singh, C. E. Bradley, S. Anand, V. Ramesh, R. White, and H. Bernien. Mid-circuit correction of correlated phase errors using an array of spectator qubits.Science, 380(6651): 1265–1269, 2023. ISSN 1095-9203. doi: 10.1126/science.ade5337. URLhttp://dx.doi.org/ 10.1126/science.ade5337. 17

    work page doi:10.1126/science.ade5337 2023

  65. [65]

    Petrosyan, S

    D. Petrosyan, S. Norrell, C. Poole, and M. Saffman. Fast measurements and multiqubit gates in dual-species atomic arrays.Physical Review A, 110(4), October 2024. ISSN 2469-9934. doi: 10.1103/physreva.110.042404. URLhttp://dx.doi.org/10.1103/PhysRevA.110.042404

    work page doi:10.1103/physreva.110.042404 2024

  66. [66]

    High-numerical-aperture and long-working-distance objective for single-atom experiments.Review of Scientific Instruments, 91(4), April 2020

    Shaokang Li, Gang Li, Wei Wu, Qing Fan, Yali Tian, Pengfei Yang, Pengfei Zhang, and Tiancai Zhang. High-numerical-aperture and long-working-distance objective for single-atom experiments.Review of Scientific Instruments, 91(4), April 2020. ISSN 1089-7623. doi: 10.1063/5.0001637. URLhttp://dx.doi.org/10.1063/5.0001637

    work page doi:10.1063/5.0001637 2020

  67. [67]

    E. L. Raab, M. Prentiss, Alex Cable, Steven Chu, and D. E. Pritchard. Trapping of neutral sodium atoms with radiation pressure.Physical Review Letters, 59(23):2631–2634, December

  68. [68]

    doi: 10.1103/physrevlett.59.2631

    ISSN 0031-9007. doi: 10.1103/physrevlett.59.2631. URLhttp://dx.doi.org/10.1103/ PhysRevLett.59.2631

    work page doi:10.1103/physrevlett.59.2631

  69. [69]

    A centimeter-scale dielectric metasurface for the generation of cold atoms.Nano Letters, 23(9):4008–4013, April 2023

    Mingke Jin, Xu Zhang, Xuan Liu, Changwen Liang, Jixun Liu, Zixian Hu, Kingfai Li, Guochao Wang, Jun Yang, Lingxiao Zhu, and Guixin Li. A centimeter-scale dielectric metasurface for the generation of cold atoms.Nano Letters, 23(9):4008–4013, April 2023. ISSN 1530-6992. doi: 10.1021/acs.nanolett.3c00791. URLhttp://dx.doi.org/10.1021/acs.nanolett.3c00791

    work page doi:10.1021/acs.nanolett.3c00791 2023

  70. [70]

    Polarization decoupling multi-port beam-splitting metasurface for miniaturized magneto-optical trap.Advanced Science, 12(37), 2025

    Tian Tian, Chen Qing, Yuxuan Liao, Jiajun Zhu, Yongzhuo Li, Xue Feng, Dengke Zhang, and Yidong Huang. Polarization decoupling multi-port beam-splitting metasurface for miniaturized magneto-optical trap.Advanced Science, 12(37), 2025. ISSN 2198-3844. doi: 10.1002/advs. 202506289. URLhttp://dx.doi.org/10.1002/advs.202506289

    work page doi:10.1002/advs 2025

  71. [71]

    Multifunctional metalens for trapping and characterizing single atoms.Laser & Photonics Reviews, 19(6), December 2024

    Guang-Jie Chen, Dong Zhao, Zhu-Bo Wang, Ziqin Li, Ji-Zhe Zhang, Liang Chen, Yan-Lei Zhang, Xin-Biao Xu, Ai-Ping Liu, Chun-Hua Dong, Guang-Can Guo, Kun Huang, and Chang- Ling Zou. Multifunctional metalens for trapping and characterizing single atoms.Laser & Photonics Reviews, 19(6), December 2024. ISSN 1863-8899. doi: 10.1002/lpor.202401595. URLhttp://dx.d...

    work page doi:10.1002/lpor.202401595 2024

  72. [72]

    Boyd, Scott Papp, Amit Agrawal, and Vladimir Aksyuk

    Chad Ropp, Wenqi Zhu, Alexander Yulaev, Daron Westly, Gregory Simelgor, Akash Rakholia, William Lunden, Dan Sheredy, Martin M. Boyd, Scott Papp, Amit Agrawal, and Vladimir Aksyuk. Integrating planar photonics for multi-beam generation and atomic clock packaging on chip.Light: Science & Applications, 12(1), April 2023. ISSN 2047-7538. doi: 10.1038/ s41377-...

    work page doi:10.1038/s41377-023-01081-x 2023

  73. [73]

    Czaplewski, Alan M

    Xuting Yang, Pritha Mukherjee, Minjeong Kim, Hongyan Mei, Chengyu Fang, Soyeon Choi, Yuhan Tong, Sarah Perlowski, David A. Czaplewski, Alan M. Dibos, Mikhail A. Kats, and Jennifer T. Choy. Atomic magnetometry using a metasurface polarizing beamsplit- ter in silicon-on-sapphire.ACS Photonics, 11(9):3644–3651, 2024. ISSN 2330-4022. doi: 10.1021/acsphotonics...

    work page doi:10.1021/acsphotonics.4c00744 2024

  74. [74]

    Zhu, Vyshakh Sanjeev, Mohammadreza Khorasaninejad, Zhujun Shi, Eric Lee, and Federico Capasso

    Wei Ting Chen, Alexander Y. Zhu, Vyshakh Sanjeev, Mohammadreza Khorasaninejad, Zhujun Shi, Eric Lee, and Federico Capasso. A broadband achromatic metalens for focusing and imaging in the visible.Nature Nanotechnology, 13(3):220–226, January 2018. ISSN 1748-3395. doi: 10.1038/s41565-017-0034-6. URLhttp://dx.doi.org/10.1038/s41565-017-0034-6

    work page doi:10.1038/s41565-017-0034-6 2018

  75. [75]

    J. D. Pritchard, J. A. Isaacs, and M. Saffman. Long working distance objective lenses for single atom trapping and imaging.Review of Scientific Instruments, 87(7), 2016. ISSN 1089-7623. doi: 10.1063/1.4959775. URLhttp://dx.doi.org/10.1063/1.4959775. 18

    work page doi:10.1063/1.4959775 2016

  76. [76]

    On-chip optical levitation with a metalens in vacuum.Optica, 8 (11):1359, October 2021

    Kunhong Shen, Yao Duan, Peng Ju, Zhujing Xu, Xi Chen, Lidan Zhang, Jonghoon Ahn, Xingjie Ni, and Tongcang Li. On-chip optical levitation with a metalens in vacuum.Optica, 8 (11):1359, October 2021. ISSN 2334-2536. doi: 10.1364/optica.438410. URLhttp://dx.doi. org/10.1364/OPTICA.438410

    work page doi:10.1364/optica.438410 2021

  77. [77]

    Kunz, and Daniel J

    Andrei Isichenko, Nitesh Chauhan, Debapam Bose, Jiawei Wang, Paul D. Kunz, and Daniel J. Blumenthal. Photonic integrated beam delivery for a rubidium 3d magneto-optical trap.Nature Communications, 14(1), May 2023. ISSN 2041-1723. doi: 10.1038/s41467-023-38818-6. URL http://dx.doi.org/10.1038/s41467-023-38818-6

    work page doi:10.1038/s41467-023-38818-6 2023

  78. [78]

    Blumenthal, Andrei Isichenko, and Nitesh Chauhan

    Daniel J. Blumenthal, Andrei Isichenko, and Nitesh Chauhan. Enabling photonic integrated 3d magneto-optical traps for quantum sciences and applications.Optica Quantum, 2(6):444, December 2024. ISSN 2837-6714. doi: 10.1364/opticaq.532260. URLhttp://dx.doi.org/ 10.1364/OPTICAQ.532260

    work page doi:10.1364/opticaq.532260 2024

  79. [79]

    Vishal Shah, Svenja Knappe, Peter D. D. Schwindt, and John Kitching. Subpicotesla atomic magnetometry with a microfabricated vapour cell.Nature Photonics, 1(11):649–652, November

  80. [80]

    doi: 10.1038/nphoton.2007.201

    ISSN 1749-4893. doi: 10.1038/nphoton.2007.201. URLhttp://dx.doi.org/10.1038/ nphoton.2007.201

    work page doi:10.1038/nphoton.2007.201 2007

Showing first 80 references.