Quench dynamics of interacting bosons: generalized coherent states versus multi-mode Glauber states

• URL: http://arxiv.org/abs/2404.05471v1
• Date: Mon, 8 Apr 2024 12:50:52 GMT
• Title: Quench dynamics of interacting bosons: generalized coherent states versus multi-mode Glauber states
• Authors: Yulong Qiao, Frank Grossmann,
• Abstract summary: Multi-mode Glauber coherent states (MMGS) and Bloch states with zero quasi-momentum are frequently used to describe condensed phases of bosonic many-body systems. The difference of two-point correlators of MMGS and GCS vanishes in the thermodynamic limit. This relation reveals that the (auto-)correlation and thus the dynamical free energy density for the two cases are still different, even in the thermodynamic limit.
• Score: 1.2277343096128712
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Multi-mode Glauber coherent states (MMGS) as well as Bloch states with zero quasi-momentum, which are a special case of generalized coherent states (GCS), are frequently used to describe condensed phases of bosonic many-body systems. The difference of two-point correlators of MMGS and GCS vanishes in the thermodynamic limit. Using the established expansion of GCS in terms of MMGS, we derive a Fourier-type relation between the (auto-)correlation functions of the two different time-evolved states. This relation reveals that the (auto-)correlation and thus the dynamical free energy density for the two cases are still different, even in the thermodynamic limit, due to the lack of the U(1) symmetry of the MMGS. Analytic results for the deep lattice model of interacting bosons for increasing filling factors show multiple sharp structures in the dynamical free energy-density of increasing complexity. These are explained using the evolution of Husimi functions in phase space.

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