Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures

Abstract

We present a review of properties of ultracold atomic Fermi-Bose mixtures in\ninhomogeneous and random optical lattices. In the strong interacting limit and\nat very low temperatures, fermions form, together with bosons or bosonic holes,\n{\\it composite fermions}. Composite fermions behave as a spinless interacting\nFermi gas, and in the presence of local disorder they interact via random\ncouplings and feel effective random local potential. This opens a wide variety\nof possibilities of realizing various kinds of ultracold quantum disordered\nsystems. In this paper we review these possibilities, discuss the accessible\nquantum disordered phases, and methods for their detection. The discussed\nquantum phases include Fermi glasses, quantum spin glasses, "dirty"\nsuperfluids, disordered metallic phases, and phases involving quantum\npercolation.\n

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Affiliated Institutions

• Institute for Quantum Optics and Quantum Information Innsbruck AT
• Laboratoire Charles Fabry FR
• Quantum Experimental (Spain) ES
• Universität Innsbruck AT

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