Fermi gases in one dimension: From Bethe ansatz to experiments

XW Guan, MT Batchelor, C Lee - Reviews of Modern Physics, 2013 - APS
This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

JJ Kinnunen, JE Baarsma… - Reports on Progress …, 2018 - iopscience.iop.org
We review the concepts and the present state of theoretical studies of spin-imbalanced
superfluidity, in particular the elusive Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state, in the …

Harmonically trapped fermions in one dimension: A finite-temperature lattice Monte Carlo study

F Attanasio, M Bauer, R Kapust, JM Pawlowski - Physical Review A, 2024 - APS
We study a one-dimensional two-component Fermi gas in a harmonic trap** potential
using finite-temperature lattice quantum Monte Carlo methods. We are able to compute …

Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of nonrelativistic fermions in one dimension

AC Loheac, JE Drut - Physical Review D, 2017 - APS
We analyze the pressure and density equations of state of unpolarized nonrelativistic
fermions at finite temperature in one spatial dimension with contact interactions. For …

Two-dimensional polarized superfluids through the prism of the fermion sign problem

TC Yi, S Cheng, I Pilé, E Burovski, R Mondaini - Physical Review B, 2024 - APS
Understanding if attractive fermions in an unbalanced occupation of its flavors can give rise
to a superfluid state in two dimensions (2D), realizing the Fulde-Ferrel-Larkin-Ovchinnikov …

Pairing in a two-dimensional Fermi gas with population imbalance

MJ Wolak, B Grémaud, RT Scalettar, GG Batrouni - Physical Review A—Atomic …, 2012 - APS
Pairing in a population-imbalanced Fermi system in a two-dimensional optical lattice is
studied using determinant quantum Monte Carlo simulations and mean-field calculations …

Expansion dynamics of the fulde-ferrell-larkin-ovchinnikov state

J Kajala, F Massel, P Törmä - Physical Review A—Atomic, Molecular, and …, 2011 - APS
We consider a two-component Fermi gas in the presence of spin imbalance, modeling the
system in terms of a one-dimensional attractive Hubbard Hamiltonian initially in the …

Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings

U Ebling, A Alavi, J Brand - Physical Review Research, 2021 - APS
We study properties of the lowest energy states at nonzero total momentum (yrast states) of
the Hubbard model for spin-1 2 fermions in the quantum ring configuration with attractive on …

Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass-and spin-imbalanced trapped binary mixtures in one dimension

M Dalmonte, K Dieckmann, T Roscilde, C Hartl… - Physical Review A …, 2012 - APS
We present a systematic investigation of attractive binary mixtures in the presence of both
spin-and mass-imbalance in one-dimensional setups described by the Hubbard model. After …

Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via nonuniform-lattice Monte Carlo calculations

CE Berger, ER Anderson, JE Drut - Physical Review A, 2015 - APS
We determine the ground-state energy and Tan's contact of attractively interacting few-
fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle …