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Quantum degenerate Bose-Fermi mixtures on 1-D optical lattices

Pinaki Sengupta·Leonid P. Pryadko
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Abstract

We combine model mapping, exact spectral bounds, and a quantum Monte Carlo method to study the ground state phases of a mixture of ultracold bosons and spin-polarized fermions in a one-dimensional optical lattice. The exact boundary of the boson-demixing transition is obtained from the Bethe Ansatz solution of the standard Hubbard model. We prove that along a symmetry plane in the parameter space, the boson-fermion mixed phase is stable at all densities. This phase is a two-component Luttinger liquid for weak couplings or for incommensurate total density, otherwise it has a charge gap but retains a gapless mode of mixture composition fluctuations. The static density correlations are studied in these two limits and shown to have markedly different features.

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Pinaki Sengupta, Leonid P. Pryadko. 2005-12-12. Quantum degenerate Bose-Fermi mixtures on 1-D optical lattices. https://arxiv.org/abs/cond-mat/0512241

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