Observation of interaction-induced fast Thouless pumping of solitons
Pith reviewed 2026-06-28 07:52 UTC · model grok-4.3
The pith
Interactions enable fast nonadiabatic Thouless pumping of solitons in a driven Bose-Einstein condensate lattice.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We observe fast Thouless pumping of matterwave solitons at intermediate interactions, with no counterpart in the non- or weakly interacting regimes. Beyond the boundary of topological phase transition induced by interaction, nonadiabatic quantized pumping of solitons emerges at high modulation frequencies over a broad interaction range, in good agreement with theoretical calculations, while the solitons remain trapped in the low-frequency adiabatic pumping regime.
What carries the argument
The interaction-induced topological phase transition that switches the soliton dynamics from adiabatic trapping to nonadiabatic quantized pumping in the periodically modulated momentum-space lattice.
If this is right
- Topological transport of solitons can proceed at high modulation frequencies once interactions exceed the phase-transition boundary.
- Quantized nonadiabatic pumping persists over a broad interaction range at high frequencies.
- Solitons remain trapped under low-frequency adiabatic driving even when interactions are present.
- The findings open routes to accelerate topological transport in driven quantum systems and to build fast topological devices.
Where Pith is reading between the lines
- The same interaction-tuning mechanism may enable high-speed topological operations in other periodically driven ultracold-atom or photonic platforms.
- Extensions to multi-component or higher-dimensional solitons could produce additional nonadiabatic regimes not explored here.
- Real-time control of the interaction boundary offers a route to switch between trapped and pumped states on demand.
Load-bearing premise
The momentum-space lattice experiment in the BEC isolates interaction-driven topological effects without significant unmodeled heating, loss, or errors in interaction strength and modulation frequency.
What would settle it
Failure to observe quantized nonadiabatic pumping of solitons at high modulation frequencies for intermediate interactions, or observation of such pumping in the non-interacting limit, would falsify the central claim.
Figures
read the original abstract
Thouless pumping provides a paradigmatic platform for studying the effects of interactions on topological transport in periodically driven systems. However, most studies have been constrained by adiabatic conditions, which preclude exploration of interaction-driven novel topological states at high driving frequencies. Here, we experimentally investigate the interplay between interaction and modulation frequency in Thouless pumping realized in a periodically modulated lattice in momentum space of atomic Bose-Einstein condensate. We observe fast Thouless pumping of matterwave solitons at intermediate interactions, with no counterpart in the non- or weakly interacting regimes. Beyond the boundary of topological phase transition induced by interaction, nonadiabatic quantized pumping of solitons emerges at high modulation frequencies over a broad interaction range, in good agreement with theoretical calculations, while the solitons remain trapped in the low-frequency adiabatic pumping regime. Our work opens new avenues for accelerating topological transport in driven quantum systems and engineering fast topological devices.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper experimentally investigates interaction effects on Thouless pumping of matter-wave solitons in a periodically modulated momentum-space lattice of a BEC. It claims observation of fast pumping at intermediate interactions (absent in non/weak regimes), and nonadiabatic quantized pumping at high modulation frequencies beyond an interaction-tuned topological phase boundary, with agreement to theory; solitons remain trapped in the low-frequency adiabatic regime.
Significance. If the central observations hold after addressing calibration, the work would demonstrate interaction-induced topological transport outside the adiabatic limit, providing a platform to accelerate topological pumping and explore nonadiabatic regimes in driven quantum gases. This extends prior adiabatic Thouless pumping studies by isolating interaction-driven effects over a broad parameter range.
major comments (2)
- [Abstract / Experimental Results] The central claim that the observed fast/nonadiabatic pumping is interaction-driven and quantized beyond the topological boundary (Abstract) rests on accurate identification of the phase transition location. No explicit propagation of systematic uncertainties in interaction strength (Feshbach calibration, density inhomogeneity) or modulation frequency into the reported phase diagram or pumping rates is described, which directly affects attribution to topology versus calibration offsets.
- [Abstract] The distinction between adiabatic trapping at low frequencies and nonadiabatic quantized transport at high frequencies (Abstract) requires robustness checks against small parameter shifts. Without reported sensitivity analysis or error bars on the boundary, the claim of 'no counterpart in the non- or weakly interacting regimes' cannot be fully evaluated from the presented data.
minor comments (1)
- [Abstract] Clarify the precise definition of 'fast' versus 'nonadiabatic' pumping and how the modulation frequency threshold is determined relative to the soliton dynamics.
Simulated Author's Rebuttal
We thank the referee for their careful reading and constructive comments on the need for explicit uncertainty propagation and robustness checks. We address each major comment below and will revise the manuscript to incorporate the suggested analyses.
read point-by-point responses
-
Referee: [Abstract / Experimental Results] The central claim that the observed fast/nonadiabatic pumping is interaction-driven and quantized beyond the topological boundary (Abstract) rests on accurate identification of the phase transition location. No explicit propagation of systematic uncertainties in interaction strength (Feshbach calibration, density inhomogeneity) or modulation frequency into the reported phase diagram or pumping rates is described, which directly affects attribution to topology versus calibration offsets.
Authors: We agree that propagating systematic uncertainties from Feshbach calibration, density inhomogeneity, and modulation frequency is important for rigorously supporting the attribution to the interaction-induced topological boundary. In the revised manuscript we will add this analysis, including error bars on the phase diagram and pumping rates. Re-examination of the data shows the observed transition remains consistent within the estimated uncertainties. revision: yes
-
Referee: [Abstract] The distinction between adiabatic trapping at low frequencies and nonadiabatic quantized transport at high frequencies (Abstract) requires robustness checks against small parameter shifts. Without reported sensitivity analysis or error bars on the boundary, the claim of 'no counterpart in the non- or weakly interacting regimes' cannot be fully evaluated from the presented data.
Authors: We acknowledge the value of sensitivity analysis for demonstrating robustness against small parameter shifts. We will include such an analysis in the revision, together with error bars on the boundary, to confirm that the distinction between low-frequency adiabatic trapping and high-frequency nonadiabatic quantized transport holds, and that the absence of pumping in the non- and weakly-interacting regimes is robust. revision: yes
Circularity Check
No circularity: experimental observation paper with no derivation chain reducing to inputs
full rationale
The paper is an experimental report of observed soliton pumping in a modulated momentum-space lattice BEC, with claims based on measured data and agreement with separate theoretical calculations. No load-bearing derivation, ansatz, or prediction is presented that reduces by construction to fitted parameters, self-citations, or renamed inputs. The central results concern interaction-dependent regimes distinguished by direct observation, not a mathematical chain that could exhibit self-definition or fitted-input prediction. This is the expected non-finding for an observation-focused manuscript.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
In contrast, for a soliton state, r remains close to its minimum value throughout the pump cycle. In Figs. 2a-2d, we show the measured dynamical evo- lution (points) and numerical simulations (lines) of the atomic COM displacement δD and participation ratio r over a pump cycle for different interactions U/Jm at a high modulation frequency Ω /Jm = 0.5. All...
-
[2]
& Niu, Q
Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959 (2010)
1959
-
[3]
R., Dalibard, J
Cooper, N. R., Dalibard, J. & Spielman, I. B. Topological bands for ultracold atoms. Rev. Mod. Phys. 91, 015005 (2019)
2019
-
[4]
& Kitamura, S
Oka, T. & Kitamura, S. Floquet Engineering of Quantum Materials. Annu. Rev. Condens. Matter Phys. 10, 387 (2019)
2019
-
[5]
V., Monroe, C., Nayak, C
Else, D. V., Monroe, C., Nayak, C. & Yao, N. Y. Discrete Time Crystals. Annu. Rev. Condens. Matter Phys. 11, 467 (2020)
2020
-
[6]
& Aidelsburger, M
Citro, R. & Aidelsburger, M. Thouless pumping and topology. Nat. Rev. Phys. 5, 87 (2023)
2023
-
[7]
Thouless, D. J. Quantization of particle transport. Phys. Rev. B 27, 6083 (1983)
1983
-
[8]
& Thouless, D
Niu, Q. & Thouless, D. J. Quantised adiabatic charge transport in the presence of substrate disorder and many- body interaction. J. Phys. A: Math Gen. 17, 2453 (1984)
1984
-
[9]
& den Nijs, M
Thouless, D., Kohmoto, M., Nightingale, M. & den Nijs, M. Quantized Hall conductance in a two-dimensional pe- riodic potential. Phys. Rev. Lett. 49, 405 (1982)
1982
-
[10]
Towards a quantum pump of electric charges
Niu, Q. Towards a quantum pump of electric charges. Phys. Rev. Lett. 64, 1812 (1990)
1990
-
[11]
Nakajima, S. et al. Topological thouless pumping of ul- tracold fermions. Nat. Phys. 12, 296 (2016)
2016
-
[12]
& Bloch, I
Lohse, M., Schweizer, C., Zilberberg, O., Aidelsburger, M. & Bloch, I. A thouless quantum pump with ultracold bosonic atoms in an optical superlattice. Nat. Phys. 12, 350 (2016)
2016
-
[13]
Nakajima, S. et al. Competition and interplay between topology and quasi-periodic disorder in Thouless pump- ing of ultracold atoms. Nat. Phys. 17, 844 (2021)
2021
-
[14]
E., Lahini, Y., Ringel, Z., Verbin, M
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M. & Zil- berberg, O. Topological states and adiabatic pumping in quasicrystals. Phys. Rev. Lett. 109, 106402 (2012)
2012
-
[15]
Cheng, Q. et al. Asymmetric topological pumping in non- paraxial photonics. Nat. Commun. 13, 249 (2022)
2022
-
[16]
Song, W. G. et al. Fast topological pumps via quan- tum metric engineering on photonic chips. Sci. Adv. 10, eadn5028 (2024)
2024
-
[17]
Liu, Y. et al. Interplay between disorder and topology in Thouless pumping on a superconducting quantum pro- cessor. Nat. Commun. 16, 108 (2025)
2025
-
[18]
& Prodan, C
Cheng, W., Prodan, E. & Prodan, C. Experimental demonstration of dynamic topological pumping across incommensurate bilayered acoustic metamaterials. Phys. Rev. Lett. 125, 224301 (2020)
2020
-
[19]
You, O. et al. Observation of non-Abelian thouless pump. Phys. Rev. Lett. 128, 244302 (2022)
2022
-
[20]
Grinberg, I. h. et al. Robust temporal pumping in a magneto-mechanical topological insulator. Nat. Com- mun. 11, 974 (2020)
2020
-
[21]
& Rechtsman M
J¨ urgensen, M., Mukherjee, S. & Rechtsman M. C. Quantized nonlinear Thouless pumping. Nature 596, 63 (2021)
2021
-
[22]
& Rechtsman, M
J¨ urgensen, M., Mukherjee, S., J¨ org, C. & Rechtsman, M. C. Quantized fractional Thouless pumping of solitons, Nat. Phys. 19, 420 (2023)
2023
-
[23]
& Rechtsman, M
J¨ urgensen, M. & Rechtsman, M. C. Chern number gov- erns soliton motion in nonlinear Thouless pumps. Phys. Rev. Lett. 128, 113901 (2022)
2022
-
[24]
& Goldman, N
Mostaan, N., Grusdt, F. & Goldman, N. Quantized topo- logical pumping of solitons in nonlinear photonics and ul- tracold atomic mixtures. Nat. Commun. 13, 5997 (2022)
2022
-
[25]
V., Konotop, V
Fu, Q., Wang, P., Kartashov, Y. V., Konotop, V. V. & Ye, F. -W. Nonlinear Thouless pumping: Solitons and transport breakdown. Phys. Rev. Lett. 128, 154101 (2022)
2022
-
[26]
V., Konotop, V
Fu, Q., Wang, P., Kartashov, Y. V., Konotop, V. V. & Ye, F. -W. Two-Dimensional Nonlinear Thouless Pump- ing of Matter Waves. Phys. Rev. Lett. 129, 183901 (2022)
2022
-
[27]
& Bloch, J
Ravets, S., Pernet, N., Mostaan, N., Goldman, N. & Bloch, J. Thouless Pumping in a Driven-Dissipative Kerr Resonator Array. Phys. Rev. Lett. 134, 093801 (2025)
2025
-
[28]
-L., Zhang, Y
Tao, Y. -L., Zhang, Y. P. & Xu, Y. Nonlinearity-Induced Fractional Thouless Pumping of Solitons. Phys. Rev. Lett. 135, 097202 (2025)
2025
-
[29]
& Rechtsman, M
J¨ urgensen, M., Steiner, J., Refael, G. & Rechtsman, M. C. Multiband Fractional Thouless Pumps. Phys. Rev. Lett. 135, 166601 (2025)
2025
- [30]
-
[31]
Walter, A. -S. et al. Quantization and its breakdown in a Hubbard-Thouless pump, Nat. Phys. 19, 1471 (2023)
2023
-
[32]
Viebahn, K. et al. Interactions enable Thouless pumping in a nonsliding lattice. Phys. Rev. X 14, 021049 (2024)
2024
-
[33]
& Santoro, G
Privitera, L., Russomanno, A., Citro, R. & Santoro, G. E. Nonadiabatic breaking of topological pumping. Phys. Rev. Lett. 120, 106601 (2018)
2018
-
[34]
& Andr´ e, G
Aubry, S. & Andr´ e, G. Analyticity breaking and Ander- son localization in incommensurate lattices. Ann. Israel Phys. Soc. 3, 18 (1980)
1980
-
[35]
Harper, P. G. Single band motion of conduction electrons in a uniform magnetic field. Proc. Phys. Soc. A 68, 874 8 (1955)
1955
-
[36]
Weber, T., Herbig, J., Mark, M., N¨ agerl, H. -C. & Grimm, R. Bose-Einstein condensation of cesium. Sci- ence 299, 232 (2003)
2003
-
[37]
J., An, F
Meier, E. J., An, F. A. & Gadway, B. Atom-optics sim- ulator of lattice transport phenomena. Phys. Rev. A 93, 051602(R) (2016)
2016
-
[38]
Wang, Y. F. et al. Observation of interaction-induced mobility edge in an atomic Aubry-Andr´ e wire. Phys. Rev. Lett. 129, 103401 (2022)
2022
-
[39]
A., Meier, E
An, F. A., Meier, E. J., Ang’ong’a, J. & Gadway, B. Correlated dynamics in a synthetic lattice of momentum states. Phys. Rev. Lett. 120, 040407 (2018)
2018
-
[40]
Xie, D. Z. et al. Topological quantum walks in momen- tum space with a Bose-Einstein condensate. Phys. Rev. Lett. 124, 050502 (2020)
2020
-
[41]
An, F. A. et al. Nonlinear dynamics in a synthetic momentum-state lattice. Phys. Rev. Lett. 127, 130401 (2021)
2021
-
[42]
Li, Y. Q. et al. Observation of frustrated chiral dynamics in an interacting triangular flux ladder. Nat. Commun. 14, 7560 (2023)
2023
-
[43]
& Shenoy, S
Raghavan, S., Smerzi, A., Fantoni, S. & Shenoy, S. R. Coherent oscillations between two weakly coupled Bose- Einstein condensates: Josephson effects, π oscillations, and macroscopic quantum self-trapping. Phys. Rev. A 59, 620 (1999)
1999
-
[44]
Albiez, M. et al. Direct observation of tunneling and non- linear self-trapping in a single Bosonic Josephson junc- tion. Phys. Rev. Lett. 95, 010402 (2005)
2005
-
[45]
& Tiesinga, E
Chin, C., Grimm, R., Julienne, P. & Tiesinga, E. Fesh- bach resonances in ultracold gases. Rev. Mod. Phys. 82, 1225 (2010)
2010
- [46]
-
[47]
Chaudhari, A. P., Jirgensen, M. & Rechts- man, M. C. Quantized pumping in disor- dered nonlinear Thouless pumps. Preprint at https://arxiv.org/html/2512.11394v1 (2025)
-
[48]
Zhu, Z. et al. Splitting and Connecting Singlets in Atomic Quantum Circuits. Phys. Rev. X 15, 041032 (2025)
2025
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.