scholarly journals Anderson localization in the time domain: Numerical studies of waves in two‐dimensional disordered media

1993 ◽  
Vol 93 (4) ◽  
pp. 2310-2311
Author(s):  
Richard L. Weaver
Keyword(s):  
Time Domain ◽  
Anderson Localization ◽  
Disordered Media ◽  
Two Dimensional ◽  
Numerical Studies ◽  
The Time Domain

scholarly journals Anderson localization and Mott insulator phase in the time domain

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Krzysztof Sacha
Keyword(s):  
Solid State ◽  
Time Domain ◽  
Anderson Localization ◽  
Wave Packets ◽  
Mott Insulator ◽  
Stationary States ◽  
Solid State Physics ◽  
Driven Systems ◽  
Periodically Driven ◽  
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 wave-packets 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 wave-packets 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 many-particle systems we observe that depending on how strong particle interactions are, stationary states can be Bose-Einstein condensates or single Fock states where definite numbers of particles occupy the periodically evolving wave-packets. Our study shows that non-trivial crystal-like phenomena can be observed in the time domain.

Sign in / Sign up

Export Citation Format

Share Document