Quench dynamics in disordered two-dimensional Gross-Pitaevskii Lattices
arXiv:2005.12490 · doi:10.1103/PhysRevA.102.033301
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.
arXiv comment6 pages, 9 figures. Comments are welcome
References in corpus (12)
- Nonequilibrium dynamics of closed interacting quantum systems
- Many-body localization, thermalization, and entanglement
- Exploring the many-body localization transition in two dimensions
- Non-standard Hubbard models in optical lattices: a review
- High order symplectic integrators for perturbed Hamiltonian systems
- Delocalization of wave packets in disordered nonlinear chains
- Statistical mechanics of a nonlinear discrete system
- A simple statistical explanation for the localization of energy in nonlinear lattices with two conserved quantities
- Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
- Statistical mechanics of general discrete nonlinear Schr{ö}dinger models: Localization transition and its relevance for Klein-Gordon lattices
- Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder
- Non-Gibbs states on a Bose-Hubbard lattice