Single-particle localization in dynamical potentials

Abstract

Single particle localization of an ultra-cold atom is studied in one dimension when the atom is confined by an optical lattice and by the incommensurate potential of a high-finesse optical cavity. In the strong coupling regime the atom is a dynamical refractive medium, the cavity resonance depends on the atomic position within the standing-wave mode and nonlinearly determines the depth and form of the incommensurate potential. We show that the particular form of the quasi-random cavity potential leads to the appearance of mobility edges, even in presence of nearest-neighbour hopping. We provide a detailed characterization of the system as a function of its parameters and in particular of the strength of the atom-cavity coupling, which controls the functional form of the cavity potential. For strong atom-photon coupling the properties of the mobility edges significantly depend on the ratio between the periodicities of the confining optical lattice and of the cavity field.

version close to that accepted in Phys. Rev. A

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Cited by in corpus (12)

• Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
• Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
• Kibble-Zurek mechanism with a single particle: dynamics of the localization-delocalization transition in the Aubry-André model
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Quantum boomerang effect for interacting particles
• Ergodicity breaking with long range cavity induced quasiperiodic interactions
• Non-Abelian gauge potential driven localization transition in quasiperiodic optical lattices
• Coherent Impurity Transport in an Attractive Binary Bose-Einstein condensate
• Imbalance for a family of one-dimensional incommensurate models with mobility edges
• Random Kronig-Penney-type potentials for ultracold atoms using dark states
• Families of localized modes of Bose-Einstein condensates enabled by incommensurate optical lattice and photon-atom interactions
• Localization and delocalization properties in quasi-periodically perturbed Kicked Harper and Harper models