Localization by bichromatic potentials versus Anderson localization

Abstract

The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-André Hamiltonian. The latter presents a delocalization-localization transition, which has been observed in recent experiments using ultracold atoms or light. It is shown here that, in contrast to Anderson localization, this transition has a classical origin, namely the localization mechanism is not due to a quantum suppression of a classically allowed transport process. Explicit comparisons with the Anderson model, as well as with experiments, are done.

8 pages, 4 figures

References in corpus (8)

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• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Experimental observation of the Anderson transition with atomic matter waves
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Cited by in corpus (36)

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• Between a metal and an insulator: the critical state of the Anderson transition
• Self-dual quasiperiodic systems with power-law hopping
• Disordered quantum walk-induced localization of a Bose-Einstein condensate
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Drive Induced Delocalization in Aubry-André Model
• Delocalization of weakly interacting bosons in a 1D quasiperiodic potential
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Matter-wave localization in a random potential
• Many-body dynamical phase transition in quasi-periodic potential
• Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice
• Wave interactions in localizing media - a coin with many faces
• Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
• Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
• Multifractality in the generalized Aubry-Andre quasiperiodic localization model with power-law hoppings or power-law Fourier coefficients
• Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
• Out of Time Order Correlations in the Quasi-Periodic Aubry-André model
• Decohering localized waves
• Robust non-ergodicity of ground state in the $\beta$ ensemble
• Self-duality of One-dimensional Quasicrystals with Spin-Orbit Interaction
• Localization from quantum interference in one-dimensional disordered potentials
• Localization of solitons: linear response of the mean-field ground state to weak external potentials
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Classical diffusive dynamics for the quasiperiodic kicked rotor
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Spinful Aubry-Andre model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling
• Lattice bosons in a quasi-disordered environment
• Quantum-to-semiclassical Husimi dynamics of non-Hermitian localization transitions
• Layer-splitting methods for time-dependent Schrödinger equations of incommensurate systems
• Compact High-Q Optical Comb based on a Photonic Harmonic Potential