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

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.

4 pages, 3 figures, published version

References in corpus (4)

• Making Sense of Non-Hermitian Hamiltonians
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Commutability between Semiclassical Limit and Adiabatic Limit
• Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles

Cited by in corpus (1)

• Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation