https://doi.org/10.1140/epjb/s10051-024-00661-z
Regular Article - Solid State and Materials
The dynamics of an open Bose–Hubbard dimer with effective asymmetric coupling
1
Department of Physics, Tsinghua University, 100084, Beijing, China
2
Frontier Science Center for Quantum Information, Beijing, China
3
State Key Laboratory of Low-Dimensional Quantum Physics, Beijing, China
Received:
31
August
2023
Accepted:
19
February
2024
Published online:
5
March
2024
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
