Anderson localization and Mott insulator phase in the time domain
Abstract
Particles in space periodic potentials constitute standard models for investigation of crystalline phenomena in solid state physics. Time periodicity of periodically driven systems is a close analogue of space periodicity of solid state crystals. There is an intriguing question if solid state phenomena can be observed in the time domain. Here we show that wavepackets localized on resonant classical trajectories of periodically driven systems are ideal elements to realize Anderson localization or Mott insulator phase in the time domain. Uniform superpositions of the wavepackets form stationary states of a periodically driven particle. However, an additional perturbation that fluctuates in time results in disorder in time and Anderson localization effects emerge. Switching to manyparticle systems we observe that depending on how strong particle interactions are, stationary states can be BoseEinstein condensates or single Fock states where definite numbers of particles occupy the periodically evolving wavepackets. Our study shows that nontrivial crystallike phenomena can be observed in the time domain.
 Publication:

Scientific Reports
 Pub Date:
 June 2015
 DOI:
 10.1038/srep10787
 arXiv:
 arXiv:1502.02507
 Bibcode:
 2015NatSR...510787S
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Disordered Systems and Neural Networks;
 Quantum Physics
 EPrint:
 4 pages, 4 figures, final version