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

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 {\em 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 $U(1)\otimes U(1)$ quantum rotor Hamiltonian in a large-N limit or a coupled XXZ $\otimes$ XXZ spin Hamiltonian in a single-orbit limit.

arXiv comment15 pages, 4 figures

References in corpus (20)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Observation of resonance condensation of fermionic atom pairs
• Observation of Bose-Einstein Condensation of Molecules
• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Conversion of an Atomic Fermi Gas to a Long-Lived Molecular Bose Gas
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Prospect of creating a composite fermi/bose superfluid
• Molecules of Fermionic Atoms in an Optical Lattice
• Atomic Bose-Fermi mixtures in an optical lattice
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• The Nature of Superfluidity in Ultracold Fermi Gases Near Feshbach Resonances
• Effective Hamiltonian for fermions in an optical lattice across Feshbach resonance
• Fermions in Optical Lattices across Feshbach Resonance
• Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
• Quantum phase transitions in the Fermi-Bose Hubbard model
• The bosonic Kondo effect
• Quantum decoupling transition in a one-dimensional Feshbach-resonant superfluid

Cited by in corpus (8)

• General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
• Matter-wave analog of an optical random laser
• Unitarity in periodic potentials: a renormalization group analysis
• Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice
• Test of Particle-Assisted Tunneling for Strongly Interacting Fermions in an Optical Superlattice
• Resonant Superfluidity in an Optical Lattice
• Effect of boson on-site repulsion on the superfluidity in the boson-fermion-Hubbard model
• States of fermionic atoms in an optical superlattice across a Feshbach resonance