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Probing Majorana localization of a phase-controlled three-site Kitaev chain with an additional quantum dot

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arxiv 2504.13702 v1 pith:AKV24GHM submitted 2025-04-18 cond-mat.mes-hall

Alberto Bordin , Florian J. Bennebroek Evertsz' , Bart Roovers , Juan D. Torres Luna , Wietze D. Huisman , Francesco Zatelli , Grzegorz P. Mazur , Sebastiaan L. D. ten Haaf
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Ghada Badawy Erik P. A. M. Bakkers Chun-Xiao Liu Ruben Seoane Souto Nick van Loo Leo P. Kouwenhoven
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classification cond-mat.mes-hall
keywords majoranachainkitaevquantumadditionalchainslocalizationminimal
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Few-site implementations of the Kitaev chain offer a minimal platform to study the emergence and stability of Majorana bound states. Here, we realize two- and three-site chains in semiconducting quantum dots coupled via superconductors, and tune them to the sweet spot where zero-energy Majorana modes appear at the chain ends. We demonstrate control of the superconducting phase through both magnetic field and sweet-spot selection, and fully characterize the excitation spectrum under local and global perturbations. All spectral features are identified using the ideal Kitaev chain model. To assess Majorana localization, we couple the system to an additional quantum dot. The absence of energy splitting at the sweet spot confirms the high quality of the Majorana modes, despite the minimal size of the chains.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Adiabatic nonabelian braiding of imperfect Majoranas

    cond-mat.mes-hall 2025-07 conditional novelty 7.0 of 10

    With a time-tuned correction coupling, braiding of imperfect (overlapping) Majoranas yields a nonabelian operation whose deviation from perfect Majorana braiding is given by an analytic formula, vanishing only in the ...

  2. Optimal Majoranas in Mesoscopic Kitaev Chains

    cond-mat.mes-hall 2026-04 unverdicted novelty 6.0 of 10

    Microscopic treatment of the hybrid segment in mesoscopic Kitaev chains shows that Andreev bound state parity crossings define optimal sweet spots for localized Majoranas with large gaps.

  3. Machine-learned tuning to protected states by probing noise resilience

    cond-mat.mes-hall 2025-11 conditional novelty 6.0 of 10

    Minimizing the average ground-state splitting under injected random noise tunes short quantum-dot Kitaev chains to Majorana sweet spots.

  4. Quantifying robustness and locality of Majorana bound states in interacting systems

    cond-mat.mes-hall 2025-10 accept novelty 6.0 of 10

    In interacting systems, the locality of ground-state Majorana operators, measured by fermionic partial traces, rigorously bounds how much an environment can split the ground-state degeneracy.

  5. Measuring coherence factors of states in superconductors through local current

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    A two-point local current ratio, sqrt(I_L(Γ_R=0)/I_L(Γ_R=Γ_L)), estimates the local Majorana polarization in short quantum-dot Kitaev chains.

  6. Entanglement dynamics in minimal Kitaev chains

    quant-ph 2025-07 reject novelty 5.0 of 10

    Two- and three-site Kitaev chains can dynamically generate maximally entangled two-qubit and GHZ-type three-qubit states, while a pure W state is forbidden by parity conservation.

  7. Procedure of tuning up a three-site artificial Kitaev chain based on transmon measurements

    cond-mat.mes-hall 2025-05 conditional novelty 5.0 of 10

    A numerical protocol uses transmon spectra to tune a three-site artificial Kitaev chain to sweet spots, with a new classification into ECT-dominated, genuine, and CAR-dominated types.

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