Entanglement and exotic superfluidity in spin-imbalanced lattices

Abstract

We investigate the properties of entanglement in one-dimensional fermionic lattices at the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluid regime. By analyzing occupation probabilities, which are concepts closely related to FFLO and entanglement, we obtain approximate analytical expressions for the spin-flip processes at the FFLO regime. We also apply density matrix renormalization group calculations to obtain the exact ground-state entanglement of the system in superfluid and non-superfluid regimes. Our results reveal a breaking pairs avalanche appearing precisely at the FFLO-normal phase transition. We find that entanglement is non-monotonic in superfluid regimes, feature that could be used as a signature of exotic superfluidity.

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• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
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• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Mott-Anderson Metal-Insulator Transitions from Entanglement
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Testing density-functional approximations on a lattice and the limits of the related Hohenberg-Kohn-type theorem
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• 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
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Work statistics and Entanglement across the fermionic superfluid-insulator transition
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains