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 (8)

• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
• Larkin-Ovchinnikov state in resonant Fermi gas

Cited by in corpus (35)

• Ultra-cold Polarized Fermi Gases
• 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
• 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
• 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
• 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
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• 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
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Density wave instabilities of tilted fermionic dipoles in a multilayer geometry
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Exotic superfluid states of lattice fermions in elongated traps
• 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
• 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
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Noise correlations of the ultra-cold Fermi gas in an optical lattice
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Excitonic condensation in spatially separated one-dimensional systems
• Critical phenomena in one dimension from a Bethe ansatz perspective
• 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
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• U(1) $\times$ U(1) / Z${}_2$ Kosterlitz-Thouless transition of the Larkin-Ovchinnikov phase in an anisotropic two-dimensional system