Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations

Abstract

We present an exact Quantum Monte Carlo study of the attractive 1-dimensional Hubbard model with imbalanced fermion population. The pair-pair correlation function, which decays monotonically in the absence of polarization P, develops oscillations when P is nonzero, characteristic of Fulde-Ferrell-Larkin-Ovchinnikov phase. The pair momentum distribution peaks at a momentum equal to the difference in the Fermi momenta. At strong coupling, the minority and majority momentum distributions are shown to be deformed, reflecting the presence of the other species, and its Fermi surface. The FFLO oscillations survive the presence of a confining potential, and the local polarization at the trap center exhibits a marked dip, similar to that observed experimentally.

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Cited by in corpus (89)

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• Ultra-cold Polarized Fermi Gases
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• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Paired states in spin-imbalanced atomic Fermi gases in one dimension
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Superfluidity at the BEC-BCS crossover in two-dimensional Fermi gases with population and mass imbalance
• Spectral signatures of the Fulde-Ferrell-Larkin-Ovchinnikov order parameter in one-dimensional optical lattices
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Luttinger liquid of trimers in Fermi gases with unequal masses
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• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
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• Multi-particle composites in density-imbalanced quantum fluids
• Probing the FFLO phase by double occupancy modulation spectroscopy
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Pairing in a two-dimensional Fermi gas with population imbalance
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive spin-1/2 Fermi gas
• Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state
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• Finite temperature stability and dimensional crossover of exotic superfluidity in lattices
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• The ab initio study of unconventional superconductivity in CeCoIn${}_5$ and FeSe
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• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
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• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Controlling the pair momentum of the FFLO state in a 3D Fermi gas through a 1D periodic potential
• Weyl nodal line induced pairing in Ising superconductor and high critical field
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Strong coupling s-wave superconductors in the extreme Pauli limit: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• Population imbalanced fermions in harmonically trapped optical lattices
• Population imbalanced lattice fermions near the BCS-BEC crossover: I.The breached pair and metastable FFLO phases
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Competition between Normal Superfluidity and Larkin-Ovchinnikov Phases of Polarized Fermi Gases in Elongated Traps
• Entanglement and exotic superfluidity in spin-imbalanced lattices
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Exactly solvable models and ultracold Fermi gases
• Polaron-like effects in a one-dimensional optical lattice
• Collective modes as a probe of imbalanced Fermi gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Oscillatory pairing of fermions in spin-split traps
• Larkin-Ovchinnikov phases in two-dimensional square lattices
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
• Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
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• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
• Fermionic trimers in spin-dependent optical lattices
• Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom
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• Universal thermodynamics of the one-dimensional attractive Hubbard model
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• Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices
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• Unconventional pairing in few-fermion systems tuned by external confinement
• Strong Fulde-Ferrell Larkin-Ovchinnikov pairing fluctuations in polarized Fermi systems