A proposed signature of Anderson localization and correlation-induced delocalization in an N-leg optical lattice

Abstract

We propose a realization of the one-dimensional random dimer model and certain N-leg generalizations using cold atoms in an optical lattice. We show that these models exhibit multiple delocalization energies that depend strongly on the symmetry properties of the corresponding Hamiltonian and we provide analytical and numerical results for the localization length as a function of energy. We demonstrate that the N-leg systems possess similarities with their 1D ancestors but are demonstrably distinct. The existence of critical delocalization energies leads to dips in the momentum distribution which serve as a clear signal of the localization-delocalization transition. These momentum distributions are different for models with different group symmetries and are identical for those with the same symmetry.

10 pages, 9 figures; minor revisions

References in corpus (14)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Single-Spin Addressing in an Atomic Mott Insulator
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Repulsively bound atom pairs in an optical lattice
• A lattice of double wells for manipulating pairs of cold atoms
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Preparation of a quantum state with one molecule at each site of an optical lattice
• Localization of a matter wave packet in a disordered potential
• Differentiable potentials and metallic states in disordered one-dimensional systems
• Localization-delocalization transition in the quasi-one-dimensional ladder chain with correlated disorder
• Localization of cold atoms in state-dependent optical lattices via a Rabi pulse

Cited by in corpus (14)

• Topological Insulator in the Presence of Spatially Correlated Disorder
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Controlled engineering of extended states in disordered systems
• Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions
• Staggered and extreme localization of electron states in fractal space
• Engineering light localization in a fractal waveguide network
• Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices
• Tailoring Anderson localization by disorder correlations in 1D speckle potentials
• Supersymmetry method for interacting chaotic and disordered systems: the SYK model
• Delocalization and scaling properties of low-dimensional quasiperiodic systems
• The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlations
• A Metal-Insulator transition induced by Random Dipoles
• Localization of an inhomogeneous Bose-Einstein condensate in a moving random potential
• Superbosonization in disorder and chaos: The role of anomalies