Quench dynamics of interacting bosons: generalized coherent states versus multimode Glauber states
Abstract
Multimode Glauber coherent states (MMGS) as well as Bloch states with zero quasimomentum, which are a special case of generalized coherent states (GCS), are frequently used to describe condensed phases of bosonic manybody systems. The difference of twopoint correlators of MMGS and GCS vanishes in the thermodynamic limit. Using the established expansion of GCS in terms of MMGS, we derive a Fouriertype relation between the (auto)correlation functions of the two different timeevolved 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 energydensity of increasing complexity. These are explained using the evolution of Husimi functions in phase space.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.05471
 arXiv:
 arXiv:2404.05471
 Bibcode:
 2024arXiv240405471Q
 Keywords:

 Quantum Physics;
 Condensed Matter  Quantum Gases