Quantum simulation of correlated-hopping models with fermions in optical lattices
arXiv:1310.7959 · doi:10.1103/PhysRevA.89.013624
Abstract
By using a modulated magnetic field in a Feshbach resonance for ultracold fermionic atoms in optical lattices, we show that it is possible to engineer a class of models usually referred to as correlated-hopping models. These models differ from the Hubbard model in exhibiting additional density-dependent interaction terms that affect the hopping processes. In addition to the spin-SU(2) symmetry, they also possess a charge-SU(2) symmetry, which opens the possibility of investigating the -pairing mechanism for superconductivity introduced by Yang for the Hubbard model. We discuss the known solution of the model in 1D (where states have been found in the degenerate manifold of the ground state) and show that, away from the integrable point, quantum Monte Carlo simulations at half filling predict the emergence of a phase with coexisting incommensurate spin and charge order.
10 pages, 9 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
- Ultracold Lattice Gases with Periodically Modulated Interactions
- Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
- Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
- General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
- Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
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