arXiv:cond-mat/0511589 · New Journal of Physics

Quantum dynamics, particle delocalization and instability of Mott states: the effect of fermion–boson conversion on Mott states

Fei Zhou, Congjun Wu

Published Aug 30, 2006• 8 citations

Abstract

We study the quantum dynamics of superfluids of bosons hybridized with Cooper pairs near Feshbach resonances and the influence of fermion–boson conversion on Mott states. We derive a set of equations of motion which describe novel low energy dynamics in superfluids and obtain a new distinct branch of gapped collective modes in superfluids which involve anti-symmetric phase oscillations in fermionic and bosonic channels. We also find that Mott states in general are unstable with respect to fermion–boson conversion; particles become delocalized and the off-diagonal long-range order of superfluids can be developed when a finite conversion is present. We further point out a possible hidden order in Mott states. It is shown that the quantum dynamics of Fermi–Bose states can be characterized by either an effective coupled U (1) ⊗ U (1) quantum rotor Hamiltonian in a large- N limit or a coupled XXZ ⊗ XXZ spin Hamiltonian in a single-orbit limit.

DOI: 10.1088/1367-2630/8/8/166

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