Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices

TL;DR

This study numerically explores how disorder affects the expansion dynamics of a two-dimensional Gross-Pitaevskii lattice after a quench, revealing slowed expansion in non-ergodic states and with increased disorder.

Contribution

It provides a detailed numerical analysis of quench dynamics in disordered 2D Gross-Pitaevskii lattices, highlighting the impact of non-ergodic states and disorder strength.

Findings

Slowed expansion in non-ergodic non-Gibbs states

Disorder delays the expansion process

Comparison with quantum many-body quench experiments

Abstract

We numerically investigate the quench expansion dynamics of an initially confined state in a two-dimensional Gross-Pitaevskii lattice in the presence of external disorder. The expansion dynamics is conveniently described in the control parameter space of the energy and norm densities. The expansion can slow down substantially if the expected final state is a non-ergodic non-Gibbs one, regardless of the disorder strength. Likewise stronger disorder delays expansion. We compare our results with recent studies for quantum many body quench experiments.