Controlling disorder with periodically modulated interactions

Abstract

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the motion of the lighter, mobile species in the limit of no interaction between mobile particles. Fast periodic modulations of interspecies interactions allow us to produce an effective model with small diagonal and large off-diagonal disorder unexplored in cold atoms experiments. We present an expression for an approximate Anderson localization length and verify the existence of the well known extended resonant mode and analyze the influence of nonzero next-nearest neighbor hopping terms. We point out that periodic modulation of interaction allow disorder to work as a tunable band-pass filter for momenta.

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Cited by in corpus (9)

• Atomic quantum gases in periodically driven optical lattices
• Time crystals: analysis of experimental conditions
• Localization in random fractal lattices
• Single-particle localization in dynamical potentials
• Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
• Synthetic Random Flux Model in a periodically-driven optical lattice
• The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlations
• Role of correlations and off-diagonal terms in binary disordered one dimensional systems
• Suppression of one-dimensional weak localization by band asymmetry