Localization of matter waves in lattice systems with moving disorder

Abstract

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically follows the moving potential without diffusion, thus resulting in an initial state memory in the many-body dynamics. Such an intriguing localized phase distinguishes itself from the standard Anderson localization in two aspects: it is not robust against interaction, but persists in the presence of slowly varying perturbations. Such a sliding localized phase can be understood as a consequence of interference between the wavepacket paths under moving quasi-periodic potentials with various periods that are incommensurate with the lattice constant. The experimental realization and detection were also discussed..

11 pages

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Localization of interacting fermions at high temperature
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Many body localization in Heisenberg XXZ magnet in a random field
• Many-body localization in periodically driven systems
• Localization of phonons in ion traps with controlled quantum disorder
• Localization persisting under aperiodic driving

Cited by in corpus (3)

• Algebraic localization-delocalization phase transition in moving potential wells on a lattice
• Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes
• Equivalence of dynamics of disordered quantum ensembles and semi-infinite lattices