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The dynamics of an open Bose–Hubbard dimer with effective asymmetric coupling

Author

Listed:
  • Jinghui Pi

    (Tsinghua University)

  • Feng Chen

    (Tsinghua University)

  • Qi Liu

    (Tsinghua University)

  • Li You

    (Tsinghua University
    Frontier Science Center for Quantum Information
    State Key Laboratory of Low-Dimensional Quantum Physics)

  • Rong Lü

    (Tsinghua University
    Frontier Science Center for Quantum Information
    State Key Laboratory of Low-Dimensional Quantum Physics)

Abstract

We investigate an open Bose–Hubbard dimer with a non-Hermitian term represents an asymmetric coupling between the two sites. By mapping to the collective angular moment model with the Schwinger representation and assuming coherent evolution, we apply the mean-field approximation and obtain a set of nonlinear Bloch equations for this non-Hermitian many-particle system. Its quantum-classical correspondence is established by reformulating the mean-field dynamics as generalized classical canonical evolution equations. We analyze the fixed point structures across different parameter regions, which shows the interplay of nonlinearity and non-Hermiticity changes the behavior of mean-field dynamics. Specifically, the self-trapping transition is modified in the weak non-Hermiticity region, while the property of fixed points is changed in the strong non-Hermiticity region. Finally, the full many-particle evolution is solved numerically and found to agree with the mean-field dynamics. Graphical abstract

Suggested Citation

  • Jinghui Pi & Feng Chen & Qi Liu & Li You & Rong Lü, 2024. "The dynamics of an open Bose–Hubbard dimer with effective asymmetric coupling," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(3), pages 1-9, March.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:3:d:10.1140_epjb_s10051-024-00661-z
    DOI: 10.1140/epjb/s10051-024-00661-z
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