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

Jinghui Pi (), Feng Chen, Qi Liu, Li You and Rong Lü
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Jinghui Pi: Tsinghua University
Feng Chen: Tsinghua University
Qi Liu: Tsinghua University
Li You: Tsinghua University
Rong Lü: Tsinghua University

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 3, 1-9

Abstract: 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

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00661-z

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