Beyond mean-field dynamics in open Bose-Hubbard chains

Abstract

We investigate the effects of phase noise and particle loss on the dynamics of a Bose-Einstein condensate in an optical lattice. Starting from the many-body master equation, we discuss the applicability of generalized mean-field approximations in the presence of dissipation as well as methods to simulate quantum effects beyond mean-field by including higher-order correlation functions. It is shown that localized particle dissipation leads to surprising dynamics, as it can suppress decay and restore the coherence of a Bose-Einstein condensate. These effects can be applied to engineer coherent structures such as stable discrete breathers and dark solitons.

7 pages, 6 figure

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Cited by in corpus (15)

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• Interaction-induced impeding of decoherence and anomalous diffusion
• Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation
• Quantum master equation with balanced gain and loss
• Localization in open quantum systems
• Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
• Cusp bifurcation in the eigenvalue spectrum of PT-symmetric Bose-Einstein condensates
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
• Stationary discrete solitons in circuit QED
• Dissipative quantum dynamics of fermions in optical lattices: a slave-spin approach
• Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices
• Stochastic resonance driven by quantum shot noise in superradiant Raman scattering
• Two-Time Correlation Functions in Dissipative and Interacting Bose-Hubbard Chains
• Asymmetric many-body loss in a bosonic double well
• Pitfalls in the theory of carrier dynamics in semiconductor quantum dots: the single-particle basis vs. the many-particle configuration basis