Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice

Abstract

We study the properties of a one-dimensional (1D) gas of fermions trapped in a lattice by means of the density matrix renormalization group method, focusing on the case of unequal spin populations, and strong attractive interaction. In the low density regime, the system phase-separates into a well defined superconducting core and a fully polarized metallic cloud surrounding it. We argue that the superconducting phase corresponds to a 1D analogue of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, with a quasi-condensate of tightly bound bosonic pairs with a finite center-of-mass momentum that scales linearly with the magnetization. In the large density limit, the system allows for four phases: in the core, we either find a Fock state of localized pairs or a metallic shell with free spin-down fermions moving in a fully filled background of spin-up fermions. As the magnetization increases, the Fock state disappears to give room for a metallic phase, with a partially polarized superconducting FFLO shell and a fully polarized metallic cloud surrounding the core.

4 pages, 5 figs

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Cited by in corpus (56)

• 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
• 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
• Theory of quasi-one dimensional imbalanced Fermi gases
• Quantum Simulation of the Hubbard Model: The Attractive Route
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Spectral signatures of the Fulde-Ferrell-Larkin-Ovchinnikov order parameter 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
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Probing the FFLO phase by double occupancy modulation spectroscopy
• 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
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• 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
• 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
• Polaron-like effects in a one-dimensional optical lattice
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Oscillatory pairing of fermions in spin-split traps
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
• 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
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Unconventional pairing in few-fermion systems at finite temperature
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Pairing correlations in a trapped one-dimensional Fermi gas
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Quantum Adiabatic Doping for Atomic Fermi-Hubbard Quantum Simulations
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Unconventional pairing in few-fermion systems tuned by external confinement
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains