Quasi-one-dimensional polarized Fermi superfluids

Abstract

We calculate the zero temperature phase diagram of a polarized two-component Fermi gas in an array of weakly-coupled parallel one-dimensional (1D) 'tubes' produced by a two-dimensional optical lattice. Increasing the lattice strength drives a crossover from three-dimensional (3D) to 1D behavior, stabilizing the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) modulated superfluid phase. We argue that the most promising regime for observing the FFLO phase is in the quasi-1D regime, where the atomic motion is largely 1D but there is weak tunneling in the other directions that stabilizes long range order. In the FFLO phase, we describe a phase transition where the quasiparticle spectrum changes from gapless near the 3D regime to gapped in quasi-1D.

4+ pages, 2 figures. References added and minor changes to text

References in corpus (22)

• Cold bosonic atoms in optical lattices
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State in CeCoIn5
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Crystalline Color Superconductivity
• Confinement induced molecules in a 1D Fermi gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• BEC-BCS crossover in "magnetized" Feshbach-resonantly paired superfluids
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Finite temperature phase diagram of a polarised Fermi condensate
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Direct Imaging of Spatially Modulated Superfluid Phases in Atomic Fermion Systems
• Inhomogeneous superconducting state in quasi-one-dimensional systems
• Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
• Larkin-Ovchinnikov state in resonant Fermi gas
• The low temperature Fulde-Ferrell-Larkin-Ovchinnikov phases in 3 dimensions

Cited by in corpus (104)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• The Physics of Pair Density Waves
• Imbalanced Feshbach-resonant Fermi gases
• Ultra-cold Polarized Fermi Gases
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Fluctuations and phase transitions in Larkin-Ovchinnikov liquid crystal states of population-imbalanced resonant Fermi gas
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Matrix product ansatz for Fermi fields in one dimension
• Physics of higher orbital bands in optical lattices: a review
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Theory of quasi-one dimensional imbalanced Fermi gases
• Route to Observable Fulde-Ferrell-Larkin-Ovchinnikov Phases in 3D Spin-Orbit Coupled Degenerate Fermi Gases
• Large Range of Stability of Larkin-Ovchinnikov States for Imbalanced Fermi Gases in Optical Lattices
• FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• 1D to 3D Crossover of a Spin-Imbalanced Fermi Gas
• Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Phase separation and pair condensation in a spin-imbalanced 2D Fermi gas
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Berezinskii-Kosterlitz-Thouless Phase Transition in 2D Spin-Orbit Coupled Fulde-Ferrell Superfluids
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Pairing in a two-dimensional Fermi gas with population imbalance
• Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Angular Fulde-Ferrell-Larkin-Ovchinnikov state in cold fermion gases in a toroidal trap
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes
• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Finite temperature stability and dimensional crossover of exotic superfluidity in lattices
• Quantum liquid-crystal order in resonant atomic gases
• Modulated pair condensate of p-orbital ultracold fermions
• Exotic superfluid states of lattice fermions in elongated traps
• Theory of the Normal/Superfluid interface in population imbalanced Fermi gases
• Pi-phases in balanced fermionic superfluids on spin-dependent optical lattices
• Interferometric probe of paired states
• Supersolidity in electron-hole bilayers with a large density imbalance
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Non-local quantum fluctuations and fermionic superfluidity in the imbalanced attractive Hubbard model
• FFLO or Majorana superfluids: The fate of fermionic cold atoms in spin-orbit coupled optical lattices
• Controlling the pair momentum of the FFLO state in a 3D Fermi gas through a 1D periodic potential
• FFLO strange metal and quantum criticality in two dimensions: theory and application to organic superconductors
• Fulde-Ferrell--Larkin-Ovchinnikov state in the dimensional crossover between one- and three-dimensional lattices
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
• Fulde-Ferrell Superfluids without Spin Imbalance in Driven Optical Lattices
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Noise correlations of the ultra-cold Fermi gas in an optical lattice
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Exactly solvable models and ultracold Fermi gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Collective modes as a probe of imbalanced Fermi gases
• Phases of attractive spin-imbalanced fermions in square lattices
• Excitonic condensation in spatially separated one-dimensional systems
• Rotating Fulde-Ferrell-Larkin-Ovchinnikov state in cold Fermi gases
• Collective modes of a soliton train in a Fermi superfluid
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Radial Fulde-Ferrell-Larkin-Ovchinnikov state in a population-imbalanced Fermi gas
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Proposal for interferometric detection of topological defects in modulated superfluids
• Spatially-modulated Superfluid States in Fermionic Optical Ladder Systems with Repulsive Interactions
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
• Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases
• Re-entrant Fulde-Ferrell-Larkin-Ovchinnikov State in Small-Sized Superconductors
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Superfluid weight and Berezinskii-Kosterlitz-Thouless temperature of spin-imbalanced and spin-orbit-coupled Fulde-Ferrell phases in lattice systems
• U(1) $\times$ U(1) / Z${}_2$ Kosterlitz-Thouless transition of the Larkin-Ovchinnikov phase in an anisotropic two-dimensional system
• Polarized Fermi gases in asymmetric optical lattices
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Non-Fermi liquid fixed point for an imbalanced gas of fermions in $1+\epsilon$ dimensions
• Do phase fluctuations influence the Fulde-Ferrell-Larkin-Ovchinnikov state in a 3D Fermi gas?
• Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
• Collective excitations of an imbalanced fermion gas in a 1D optical lattice
• Multi-particle instability in a spin-imbalanced Fermi gas
• Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Different types of the dimensional crossover in the quasi-one-dimensional spinless fermion systems
• Bose-Hubbard model with occupation-parity couplings
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• Achieving one-dimensionality with attractive fermions
• Finite momentum condensate brought on by Zeeman field
• Exotic superfluid of trapped Fermi gases with spin-orbit coupling in dimensional crossover