Anderson localization in the time domain
arXiv:1603.05827 · doi:10.1103/PhysRevA.94.023633
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.
7 pages, 5 figures, version accepted for publication in Phys. Rev. A
References in corpus (7)
- Absence of Quantum Time Crystals
- Comment on "Quantum Time Crystals": a new paradigm or just another proposal of perpetuum mobile?
- Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
- One-dimensional Anderson localization in certain correlated random potentials
- Anderson localization and Mott insulator phase in the time domain
- Rotating Casimir systems: magnetic-field-enhanced perpetual motion, possible realization in doped nanotubes, and laws of thermodynamics
- Diffusion and localization for the Chirikov typical map
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