Localization of a Bose-Fermi mixture in a bichromatic optical lattice

Journal Article · Mon Aug 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.023632· OSTI ID:22068536

Yongshan, Cheng ^[1]; Adhikari, S K ^[1]

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1. Instituto de Fisica Teorica, UNESP - Universidade Estadual Paulista, 01.140-070, Sao Paulo, Sao Paulo (Brazil)

We study the localization of a cigar-shaped superfluid Bose-Fermi mixture in a quasiperiodic bichromatic optical lattice (OL) for interspecies attraction and intraspecies repulsion. The mixture is described by the Gross-Pitaevskii equation for the bosons, coupled to a hydrodynamic mean-field equation for fermions at unitarity. We confirm the existence of the symbiotic localized states in the Bose-Fermi mixture and Anderson localization of the Bose component in the interacting Bose-Fermi mixture on a bichromatic OL. The phase diagram in boson and fermion numbers showing the regions of the symbiotic and Anderson localization of the Bose component is presented. Finally, the stability of symbiotic and Anderson localized states is established under small perturbations.

• OSTI ID: 22068536
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
FERMIONS
MEAN-FIELD THEORY
OPTICAL SYSTEMS
PERTURBATION THEORY
PHASE DIAGRAMS
SUPERFLUIDITY
UNITARITY