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Mott states under the influence of fermion-boson conversion: invasion of superfluidity

Fei Zhou
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Abstract

I study the influence of fermion-boson conversion near Feshbach resonances on Mott states of Cooper pairs and demonstrate possible invasion of superfluidity. The quantum dynamics of Fermi-Bose gases is studied using both an effective coupled $U(1)\otimes U(1)$ quantum rotor Hamiltonian and a coupled XXZ $\otimes$ XXZ spin Hamiltonian. I also point out two distinct branches of collective modes in superfluid states, one of which involves anti-symmetric phase oscillations in fermionic and bosonic channels and is {\em always} gapped because of fermion-boson conversion.

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Fei Zhou. 2005-06-28. Mott states under the influence of fermion-boson conversion: invasion of superfluidity. https://doi.org/10.1103/physrevb.72.220501

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