Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anderson localization and Mott insulator phase in the time domain   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.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex