Entanglement and thermalization in the extended Bose–Hubbard model after a quantum quench: A correlation analysis

Abstract

Exploring the role of entanglement in quantum nonequilibrium dynamics is important to understand the mechanism of thermalization in isolated system. We study the relaxation dynamics in a one-dimensional extended Bose-Hubbard model after a global interaction quench by considering several observables: the local Boson numbers, the nonlocal entanglement entropy, and the momentum distribution functions. We calculate the thermalization fidelity for the different quench parameters and the different sizes of subsystems, and the results show that the degree of thermalization is affected by the distance from the integrable point and the size of the subsystem. We employ the Pearson coefficient as the measurement of the correlation between the entanglement entropy and thermalization fidelity, and a strong correlation is demonstrated for the quenched system.

Dynamical nonlinear excitations induced by interaction quench in a two-dimensional box-trapped Bose–Einstein condensate

“…In the following sections, we study the generic scenario of the condensate dynamics and the nonlinear excitations, including solitons and vortices, that are triggered by instantaneously quenching the interaction strength. [27,28] The quench protocol can be achieved by either tuning the three-dimensional scattering length through Feshbach resonance [29,30] or by changing the z-axis confinement through a confinement-induced resonance. [31,32]…”