Correlation dynamics of strongly-correlated bosons in time-dependent optical lattices

TL;DR

This paper investigates the dynamics of correlations in strongly-interacting bosonic gases in one-dimensional optical lattices under time-dependent conditions, revealing different relaxation behaviors for local and long-range correlations.

Contribution

It provides a detailed analysis of correlation dynamics during lattice modulation using Matrix-Product-State simulations, highlighting the transient regimes and adiabaticity considerations.

Findings

Quasi-local correlations equilibrate faster than long-range correlations.

Long-range correlations and quasi-condensate fractions show significant dynamics after lattice changes.

Fidelity analysis assesses the adiabaticity of the lattice modulation.

Abstract

We analyze by means of Matrix-Product-State simulations the correlation dynamics of strongly-correlated superfluid Bose gases in one-dimensional time-dependent optical lattices. We show that, as for the case of abrupt quenches, a quasi-adiabatic modulation of the lattice is characterized by a relatively long transient regime for which quasi-local single-particle correlation functions have already converged to a new equilibrium, whereas long-range correlations and particularly the quasi-condensate fraction may still present a very significant dynamics well after the end of the lattice modification. We also address the issue of adiabaticity by considering the fidelity between the time-evolved state and the ground-state of the final lattice.