Effective orbital ordering in multiwell optical lattices with fermionic atoms

Abstract

We consider the behavior of Fermi atoms on optical superlattices with two-well structure of each node. Fermions on such lattices serve as an analog simulator of Fermi type Hamiltonian. We derive a mapping between fermion quantum ordering in the optical superlattices and the spin-orbital physics developed for degenerate $d$-electron compounds. The appropriate effective spin-orbital model appears to be the modification of the Kugel-Khomskii Hamiltonian. We show how different ground states of this Hamiltonian correspond to particular spin-pseudospin arrangement patterns of fermions on the lattice. The dependence of fermion arrangement on phases of complex hopping amplitudes is illustrated.

arXiv comment7 pages, 2 figures

References in corpus (23)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Quantum Simulation
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A Mott insulator of fermionic atoms in an optical lattice
• Spinor Bose-Einstein condensates
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Direct Observation of Second Order Atom Tunnelling
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Can One Trust Quantum Simulators?
• Quantum Melting of Magnetic Order due to Orbital Fluctuations
• Topological orbital ladders
• Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
• Spin-orbital quantum liquid on the honeycomb lattice
• SU(4) spin-orbit critical state in one dimension
• Quantum melting of magnetic long-range order near orbital degeneracy. Classical phases and Gaussian fluctuations
• Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
• Spin-1 Atoms in Optical Superlattices: Single-Atom Tunneling and Entanglement
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices

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