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arXiv · 0807.1777

Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer

E. M. Graefe·H. J. Korsch·A. E. Niederle
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Abstract

We investigate an $N$-particle Bose-Hubbard dimer with an additional effective decay term in one of the sites. A mean-field approximation for this non-Hermitian many-particle system is derived, based on a coherent state approximation. The resulting nonlinear, non-Hermitian two-level dynamics, in particular the fixed point structures showing characteristic modifications of the self-trapping transition, are analyzed. The mean-field dynamics is found to be in reasonable agreement with the full many-particle evolution.

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E. M. Graefe, H. J. Korsch, A. E. Niederle. 2008-10-10. Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer. https://doi.org/10.1103/physrevlett.101.150408

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