Quantum quench dynamics of the Bose-Hubbard model at finite temperatures

Abstract

We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly. Both the single-quench and double-quench scenarios are considered. In the former case, the time-averaged density matrix and the real-time evolution are investigated. It is found that though the system thermalizes only in a very narrow range of the quenched value of $U$, it does equilibrate or relax well in a much larger range. Most importantly, it is proven that this is guaranteed for some typical observables in the thermodynamic limit. In order to test whether it is possible to distinguish the unitarily evolving density matrix from the time-averaged (thus time-independent), fully decoherenced density matrix, a second quench is considered. It turns out that the answer is affirmative or negative according to the intermediate value of $U$ is zero or not.

arXiv commentpreprint, 20 pages, 7 figures

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• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Strong thermalization of the two-component Bose-Hubbard model at finite temperatures
• The generalized Gibbs ensemble as a pseudo-initial state: its predictive power revealed in a second quench
• One-dimensional Bose gas driven by a slow time-dependent harmonic trap
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• A quantum information perspective on meson melting
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Quantum Joule Expansion of One-Dimensional Systems
• Thermodynamic Properties of Universal Fermi Gases
• Momentum distribution functions in ensembles: the inequivalence of microcannonical and canonical ensembles in a finite ultracold system