Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
arXiv:1610.06074 · doi:10.1103/PhysRevA.94.043634
Abstract
Coherent coupling generated by laser light between the hyperfine states of atoms, loaded in a 1D optical lattice, gives rise to the "synthetic dimension" system which is equivalent to a Hofstadter model in a finite strip of square lattice. An SU(M) symmetric attractive interaction in conjunction with the synthetic gauge field present in this system gives rise to unusual effects. We study the two- body problem of the system using the T-matrix formalism. We show that the two-body ground states pick up a finite momentum and can transform into two-body resonance like features in the scattering continuum with a large change in the phase shift. As a result, even for this 1D system, a critical amount of attraction is needed to form bound states. These phenomena have spectacular effects on the many body physics of the system analyzed using the numerical density matrix renormalization group technique. We show that the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states form in the system even for a "balanced" gas and the FFLO momentum of the pairs scales linearly with flux. Considering suitable measures, we investigate interesting properties of these states. We also discuss a possibility of realization of a generalized interesting topological model, called the Creutz ladder.
References in corpus (73)
- The electronic properties of graphene
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Feshbach Resonances in Ultracold Gases
- The density-matrix renormalization group
- A spin-orbit coupled Bose-Einstein condensate
- Artificial gauge potentials for neutral atoms
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Synthetic magnetic fields for ultracold neutral atoms
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Electronic Properties of Graphene in a Strong Magnetic Field
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Pairing and Phase Separation in a Polarized Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Inhomogeneous Superconductivity in Condensed Matter and QCD
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Spin-Imbalance in a One-Dimensional Fermi Gas
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Degenerate Fermi Gases of Ytterbium
- Precise determination of Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
- Attractive Fermi gases with unequal spin populations in highly elongated traps
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Degenerate Fermi Gas of Sr
- Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
- Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
- Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
- Topology induced anomalous defect production by crossing a quantum critical point
- Exotic quantum spin models in spin-orbit-coupled Mott insulators
- Inhomogeneous superconducting state in quasi-one-dimensional systems
- A strongly interacting gas of two-electron fermions at an orbital Feshbach resonance
- Quasi-one-dimensional polarized Fermi superfluids
- How does a synthetic non-Abelian gauge field influence the bound states of two spin-$\half$ fermions?
- An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
- Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
- Orbital Feshbach Resonance in Alkali-Earth Atoms
- Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
- Double-degenerate Bose-Fermi mixture of strontium
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
- Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
- Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
- The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
- Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
- Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
- Magnetic crystals and helical liquids in alkaline-earth fermionic gases
- Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
- Trionic phase of ultracold fermions in an optical lattice: A variational study
- Composite fermion state of spin-orbit coupled bosons
- Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
- Surface states and chiral symmetry on the lattice
- From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
- Thermal Instability of Protected End States in a 1-D Topological Insulator
- Simulating dense QCD matter with ultracold atomic boson-fermion mixtures
- Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
- Switching of magnetic domains reveals evidence for spatially inhomogeneous superconductivity
- Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
- Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
- Persistent currents in Dirac fermion rings
- Trapped fermions in a synthetic non-Abelian gauge field
- Flow enhanced pairing and other novel effects in Fermi gases in synthetic gauge fields
- Baryon squishing in synthetic dimensions by effective gauge fields
- Topological Superfluid and Majorana Zero Modes in Synthetic Dimension
- Exact diagonalization study of the trionic crossover and the trion liquid in the attractive three-component Hubbard model
- Fulde-Ferrell Superfluids without Spin Imbalance in Driven Optical Lattices
- Trion and Dimer Formation of Three-Color Fermions
- Exotic Quantum Order in Low-Dimensional Systems
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- Phases of Attractive Fermi Gases in Synthetic Dimensions
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- Different models of gravitating Dirac fermions in optical lattices
- Cavity-induced Fulde-Ferrell-Larkin-Ovchinnikov superfluids of ultracold Fermi gases
- Metal-Insulator Transition and Band Magnetism in the Spin- Falicov-Kimball Model on A Triangular Lattice with External Magnetic Field