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Updated: Jun 28, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
E M Graefe1, H J Korsch, A E Niederle
1FB Physik, TU Kaiserslautern, D-67653 Kaiserslautern, Germany.
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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