Anderson localization in the time domain
Quantum Physics
2016-08-31 v3 Disordered Systems and Neural Networks
Quantum Gases
Abstract
In analogy with usual Anderson localization taking place in time-independent disordered quantum systems where the disorder acts in configuration space, systems exposed to temporally disordered potentials can display Anderson localization in the time domain. We demonstrate this phenomenon with one-dimensional examples where a temporally disordered potential induces localization during the quantum evolution of wave-packets, in contrast with a fully delocalized classical dynamics. This is an example of a time crystal phenomenon, i.e., a crystalline behavior in the time domain.
Cite
@article{arxiv.1603.05827,
title = {Anderson localization in the time domain},
author = {Krzysztof Sacha and Dominique Delande},
journal= {arXiv preprint arXiv:1603.05827},
year = {2016}
}
Comments
7 pages, 5 figures, version accepted for publication in Phys. Rev. A