Enhancement of many-body quantum interference in chaotic bosonic systems

Abstract

Although highly successful, the truncated Wigner approximation (TWA) leaves out many-body quantum interference between mean-field Gross-Pitaevskii solutions as well as other quantum effects, and is therefore essentially classical. Turned around, this implies that if a system's quantum properties deviate from TWA, they must be exhibiting some quantum phenomenon, such as localization, diffraction, or tunneling. Here, we consider in detail a particular interference effect arising from discrete symmetries, which can lead to a significant enhancement of quantum observables with respect to the TWA prediction, and derive an augmented version of the TWA in order to incorporate them. Using the Bose-Hubbard model for illustration, we further show strong evidence for the presence of dynamical localization due to remaining differences between the TWA predictions and quantum results.

6 pages, 2 figures

References in corpus (5)

• Semiclassical propagator of the Wigner function
• Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium
• Bose-Einstein Condensation and Spontaneous Symmetry Breaking
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• Many-body interference at the onset of chaos
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• Eigenstate thermalization scaling in approaching the classical limit
• Chaos-induced depletion of a Bose-Einstein condensate
• Chaotic and quantum dynamics in driven-dissipative bosonic chains
• Spectral Structure and Many-Body Dynamics of Ultracold Bosons in a Double-Well
• Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
• Propagation of two-particle correlations across the chaotic phase for interacting bosons
• Computing Quantum Mean Values in the Deep Chaotic Regime
• Reduced Dimensional Monte Carlo Method: Preliminary Integrations