Fulde-Ferrell-Larkin-Ovchinnikov critical polarization in one-dimensional fermionic optical lattices

Abstract

We deduce an expression for the critical polarization P_C below which the FFLO-state emerges in one-dimensional lattices with spin-imbalanced populations. We provide and explore the phase diagram of unconfined chains as a function of polarization, interaction and particle density. For harmonically confined systems we supply a quantitative mapping which allows to apply our phase diagram also for confined chains. We find analytically, and confirm numerically, that the upper bound for the critical polarization is universal: P_C^{max}=1/3 for any density, interaction and confinement strength.

Accepted by Physical Review A

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Simple parametrization for the ground-state energy of the infinite Hubbard chain incorporating Mott physics, spin-dependent phenomena and spatial inhomogeneity
• Exotic superfluid states of lattice fermions in elongated traps

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• Entanglement and exotic superfluidity in spin-imbalanced lattices
• Many-body effects on the thermodynamics of closed quantum systems
• Mott-Anderson Metal-Insulator Transitions from Entanglement
• Testing density-functional approximations on a lattice and the limits of the related Hohenberg-Kohn-type theorem
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Entanglement in disordered superfluids: the impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part II: Effects of population imbalance
• Approximating quantum thermodynamic properties using DFT
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains