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

Abstract

We discuss the dynamics of an open two-mode Bose-Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the mean-field limit is derived resulting in an effective non-hermitian (discrete) Gross-Pitaevskii equation which has been introduced only phenomenologically up to now. The familiar mean-field phase space structure is substantially altered by the dissipation. Especially the character of the fixed points shows an abrupt transition from elliptic or hyperbolic to attractiv or repulsive, respectively. This reflects the metastable behaviour of the corresponding many-body system which surprisingly also leads to a significant increase of the purity of the condensate. A comparison of the mean-field approximation to simulations of the full master equation using the Monte Carlo wave function method shows an excellent agreement for wide parameter ranges.

9 pages, 3 figures

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• Quantum master equation with balanced gain and loss
• Dissipation induced coherence and stochastic resonance of an open two-mode Bose-Einstein condensate
• Nonlinear Landau-Zener tunneling in quantum phase space
• Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
• Rapid mixing and stability of quantum dissipative systems
• Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
• Asymmetric many-body loss in a bosonic double well
• Bose-enhanced relaxation of driven atom-molecule condensates
• Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry