Localization of matter waves in lattice systems with moving disorder
arXiv:2201.07994 · doi:10.1103/PhysRevA.107.033330
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
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