Feshbach resonance in optical lattices and the quantum Ising model

Feshbach resonance in optical lattices and the quantum Ising model

Motivated by experiments on heteronuclear Feshbach resonances in Bose mixtures, we investigate s-wave pairing of two species of bosons in an optical lattice. The zero temperature phase diagram supports a rich array of superfluid and Mott phases and a network of quantum critical points. This topology...

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Veröffentlicht in:Physical review letters 2009-12, Vol.103 (26), p.265302-265302, Article 265302
Hauptverfasser: Bhaseen, M J, Silver, A O, Hohenadler, M, Simons, B D
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Silver, A O
Hohenadler, M
Simons, B D
description Motivated by experiments on heteronuclear Feshbach resonances in Bose mixtures, we investigate s-wave pairing of two species of bosons in an optical lattice. The zero temperature phase diagram supports a rich array of superfluid and Mott phases and a network of quantum critical points. This topology reveals an underlying structure that is succinctly captured by a two-component Landau theory. Within the second Mott lobe we establish a quantum phase transition described by the paradigmatic longitudinal and transverse field Ising model. This is confirmed by exact diagonalization of the 1D bosonic Hamiltonian. We also find this transition in the homonuclear case.
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title Feshbach resonance in optical lattices and the quantum Ising model
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