One-dimensional optical lattices and impenetrable bosons

Journal Article · Thu May 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.053606· OSTI ID:20636402

Cazalilla, M A ^[1]

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1. Abdus Salam ICTP, Strada Costiera 11, 34014 Trieste (Italy)

We study the limit of large on-site repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model of fermions with attractive interactions. The leading corrections to the internal energy of a hard-core-boson (Tonks) gas as well as the (finite temperature) pair correlations of a strongly interacting Bose gas are calculated. We explore the possibility of realizing, in an optical lattice, a Luttinger liquid with stronger density correlations than the Tonks gas. A quantum phase transition to a charge-density-wave Mott insulator is also discussed.

• OSTI ID: 20636402
• Journal Information: Physical Review. A, Vol. 67, Issue 5; Other Information: DOI: 10.1103/PhysRevA.67.053606; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN GAS
BOSONS
CHARGE DENSITY
COOLING
CORRECTIONS
CORRELATIONS
DENSITY
FERMIONS
HAMILTONIANS
HUBBARD MODEL
LASER RADIATION
LATTICE PARAMETERS
LIQUIDS
ONE-DIMENSIONAL CALCULATIONS
OPTICS
PHASE TRANSFORMATIONS
QUANTUM MECHANICS
RADIATION PRESSURE
STRONG-COUPLING MODEL