Finite temperature QMC study of the one-dimensional polarized Fermi gas

Abstract

Quantum Monte Carlo (QMC) techniques are used to provide an approximation-free investigation of the phases of the one-dimensional attractive Hubbard Hamiltonian in the presence of population imbalance. The temperature at which the "Fulde-Ferrell-Larkin-Ovchinnikov" (FFLO) phase is destroyed by thermal fluctuations is determined as a function of the polarization. It is shown that the presence of a confining potential does not dramatically alter the FFLO regime, and that recent experiments on trapped atomic gases likely lie just within the stable temperature range.

arXiv comment10 pages, 13 figures We added a discussion of the behaviour of the FFLO peak as a function of the attractive interaction strength

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Cited by in corpus (24)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Pairing in a two-dimensional Fermi gas 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
• Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Finite temperature stability and dimensional crossover of exotic superfluidity in lattices
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Fulde-Ferrell--Larkin-Ovchinnikov state in the dimensional crossover between one- and three-dimensional lattices
• Oscillatory pairing of fermions in spin-split traps
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Superfluidity of a spin-imbalanced Fermi gas in a three-dimensional optical lattice
• Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Unconventional pairing in few-fermion systems at finite temperature
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
• Universal thermodynamics of the one-dimensional attractive Hubbard model
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Collective excitations of an imbalanced fermion gas in a 1D optical lattice
• Using off-diagonal confinement as a cooling method
• Moving perturbation in a one-dimensional Fermi gas
• Pairing in population imbalanced Fermion systems