Theory of quasi-one dimensional imbalanced Fermi gases

Abstract

We present a theory for a lattice array of weakly coupled one-dimensional ultracold attractive Fermi gases (1D `tubes') with spin imbalance, where strong intratube quantum fluctuations invalidate mean field theory. We first construct an effective field theory, which treats spin-charge mixing exactly, based on the Bethe ansatz solution of the 1D single tube problem. We show that the 1D Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) state is a two-component Luttinger liquid, and its elementary excitations are fractional states carrying both charge and spin. We analyze the instability of the 1D FFLO state against inter-tube tunneling by renormalization group analysis, and find that it flows into either a polarized Fermi liquid or a FFLO superfluid, depending on the magnitude of interaction strength and spin imbalance. We obtain the phase diagram of the quasi-1D system and further determine the scaling of the superfluid transition temperature with intertube coupling.

new expanded version, 8 pages, updated references

References in corpus (15)

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• 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
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
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• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Cold Attractive Spin Polarized Fermi Lattice Gases and the Doped Positive U Hubbard Model
• Renormalization of impurity scattering in one-dimensional interacting electron systems in magnetic field

Cited by in corpus (21)

• Ultra-cold Polarized Fermi Gases
• Matrix product ansatz for Fermi fields in one dimension
• 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
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• 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
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Oscillatory pairing of fermions in spin-split traps
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• U(1) $\times$ U(1) / Z${}_2$ Kosterlitz-Thouless transition of the Larkin-Ovchinnikov phase in an anisotropic two-dimensional system
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations