General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection

Abstract

Based on consideration of the system symmetry and its Hilbert space, we show that strongly interacting fermions in an optical lattice or superlattice can be generically described by a lattice resonance Hamiltonian. The latter can be mapped to a general Hubbard model with particle assisted tunneling rates. We investigate the model under population imbalance and show the attractive and the repulsive models have the same complexity in phase diagram under the particle-hole mapping. Using this mapping, we propose an experimental method to detect possible exotic superfluid/magnetic phases for this system.

5 pages, 4 figures

References in corpus (5)

• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Molecules of Fermionic Atoms in an Optical Lattice
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Detecting the breached pair phase in a polarized ultracold Fermi gas
• States of fermionic atoms in an optical superlattice across a Feshbach resonance

Cited by in corpus (8)

• Atomic three-body loss as a dynamical three-body interaction
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Nanoscale phase separation and superconductivity in the one-dimensional Hirsch model
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Phase diagram of imbalanced strongly interacting fermions on a one-dimensional optical lattice
• Test of Particle-Assisted Tunneling for Strongly Interacting Fermions in an Optical Superlattice
• Detecting the tunneling rates for strongly interacting fermions on optical lattices