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.

References in corpus (9)

• 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
• Phase diagram of a cold polarized Fermi gas
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• Fermion pairing with spin-density imbalance in an optical lattice
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Cited by in corpus (17)

• 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
• 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
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Population imbalanced fermions in harmonically trapped optical lattices
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling