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

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.

5 pages; typos corrected

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of Bose-Einstein Condensation of Molecules
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Quantum phase transitions in the Fermi-Bose Hubbard model

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• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Quantum gas microscopy of an attractive Fermi-Hubbard system
• Fermions in Optical Lattices across Feshbach Resonance
• Two-channel Feshbach physics in a structured continuum
• Feshbach Molecules in a One-dimensional Optical Lattice
• Fermions with attractive interactions on optical lattices and implications for correlated systems
• Superfuid-insulator transitions at non-integer filling in optical lattices of fermionic atoms
• Strongly interacting fermions in an optical lattice
• Phase transitions in the boson-fermion resonance model in one dimension
• Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
• Cavity-QED tests of representations of canonical commutation relations employed in field quantization
• Cyclic Lattice Feshbach Resonances
• States of fermionic atoms in an optical superlattice across a Feshbach resonance