Anderson localization of pairs in bichromatic optical lattices

Abstract

We investigate the formation of bound states made of two interacting atoms moving in a one dimensional (1D) quasi-periodic optical lattice. We derive the quantum phase diagram for Anderson localization of both attractively and repulsively bound pairs. We calculate the pair binding energy and show analytically that its behavior as a function of the interaction strength depends crucially on the nature -extended, multi-fractal, localized- of the single-particle atomic states. Experimental implications of our results are discussed.

final revised version with more explanations, 4 pages, 3 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Repulsively bound atom pairs in an optical lattice
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• BCS-BEC crossover in a random external potential
• Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices

Cited by in corpus (25)

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• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• An introduction to arrays of coupled waveguides
• Probing the effects of interaction in Anderson localization using linear photonic lattices
• Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
• Freed by interaction kinetic states in the Harper model
• Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
• Pairs, trimers and BCS-BEC crossover near a flat band: the sawtooth lattice
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Dynamics of pattern-loaded fermions in bichromatic optical lattices
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Delocalization of two interacting particles in the two-dimensional Harper model
• Mobility edge of two interacting particles in three-dimensional random potentials
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
• Cooling Quantum Gases with Entropy Localization
• Non-Rayleigh signal of interacting quantum particles
• One- and Two-Particle Problem with Correlated Disorder Potential
• Chaotic delocalization of two interacting particles in the classical Harper model
• Two-body metal-insulator transitions in the Anderson-Hubbard model
• Quantum walkers in a disordered lattice with power-law hopping