Bose-Fermi mixtures in 1D optical superlattices

Details Bose-Fermi mixtures in 1D optical superlattices Bose-Fermi mixtures in 1D optical superlattices

2006-06-09

arxiv.org/abs/cond-mat/0606255v1

J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 371-385

Physics

Condensed Matter

Statistical Mechanics

18 pages, 9 figures

Scientific paper

10.1088/0953-4075/40/2/010

The zero temperature phase diagram of binary boson-fermion mixtures in two-colour superlattices is investigated. The eigenvalue problem associated with the Bose-Fermi-Hubbard Hamiltonian is solved using an exact numerical diagonalization technique, supplemented by an adaptive basis truncation scheme. The physically motivated basis truncation allows to access larger systems in a fully controlled and very flexible framework. Several experimentally relevant observables, such as the matter-wave interference pattern and the condensatefraction, are investigated in order to explore the rich phase diagram. At symmetric half filling a phase similar to the Mott-insulating phase in a commensurate purely bosonic system is identified and an analogy to recent experiments is pointed out. Furthermore a phase of complete localization of the bosonic species generated by the repulsive boson-fermion interaction is identified. These localized condensates are of a different nature than the genuine Bose-Einstein condensates in optical lattices.

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