One-dimensional optical lattices and impenetrable bosons

Details One-dimensional optical lattices and impenetrable bosons One-dimensional optical lattices and impenetrable bosons

2003-01-11

arxiv.org/abs/cond-mat/0301167v3

Physical Review A 67, 053606 (2003).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages. Version accepted for publication in Phys. Rev. A; title changed

Scientific paper

10.1103/PhysRevA.67.053606

We study the limit of large onsite 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.

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