Effective Hamiltonian for fermions in an optical lattice across Feshbach resonance

Abstract

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting Hamiltonian can be dramatically simplified to an effective single-band model, which describes a new type of resonance between the local dressed molecules and the valence bond states of fermionic atoms at neighboring sites. On different sides of such a resonance, the effective Hamiltonian is reduced to either a t-J model for the fermionic atoms or an XXZ model for the dressed molecules. The parameters in these models are experimentally tunable in the full range, which allows for observation of various phase transitions.

arXiv comment5 pages, 2 figures

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Cited by in corpus (71)

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• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Quantum gas microscopy of an attractive Fermi-Hubbard system
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• Trapped Fermions across a Feshbach resonance with population imbalance
• Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
• Stabilization of the p-wave superfluid state in an optical lattice
• Superfluid-insulator transitions of the Fermi gas with near-unitary interactions in a periodic potential
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• Two-channel Feshbach physics in a structured continuum
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• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
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• Quantum Field Theory for the Three-Body Constrained Lattice Bose Gas -- Part I: Formal Developments
• Mott transition of fermionic mixtures with mass imbalance in optical lattices
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• Characteristics of Bose-Einstein condensation in an optical lattice
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• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Conditions of Low Dimensionality for Strongly Interacting Atoms Under a Transverse Trap
• The ground state of a mixture of two species of fermionic atoms in 1D optical lattice
• Lattice Induced Resonances in One Dimensional Bosonic Systems
• Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap
• Feshbach Molecules in a One-dimensional Optical Lattice
• Stable Sarma State in Two-band Fermi Systems
• BCS-BEC crossover and quantum phase transition for 6Li and 40K atoms across Feshbach resonance
• Superfuid-insulator transitions at non-integer filling in optical lattices of fermionic atoms
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• Bound states of two bosons in an optical lattice near an association resonance
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• Resonant Scattering and Microscopic Model of Spinless Fermi Gases in One-dimensional Optical Lattices
• Expansion of strongly interacting dipolar bosons in 1D optical lattices
• Signatures of Fermion Pairing with Unconventional Symmetry around BCS-BEC Crossover in a Quasi-2D Lattice
• Spin-1/2 fermions with attractive interaction in an optical lattice
• Dynamical mean-field equations for strongly interacting fermionic atoms in a potential trap
• Detecting the tunneling rates for strongly interacting fermions on optical lattices
• Noise correlations of a strongly attractive spin-1/2 Fermi gas in an optical lattice
• Repulsive Fermions in Optical Lattices: Phase separation versus Coexistence of Antiferromagnetism and d-Superfluidity
• States of fermionic atoms in an optical superlattice across a Feshbach resonance
• Feshbach resonant scattering of three fermions in one-dimensional wells
• One- and two-atom states in a rotating ring lattice
• Signatures of Bose-Einstein condensation in an optical lattice