Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes

Abstract

We study two-species fermion gases with attractive interaction in two-dimensional optical lattices producing an array of elongated tube confinements. Focusing on the interplay of Cooper pairing, spin imbalance (or magnetization) and intertube tunneling, we find the pairing gap can exhibit oscillatory behavior both along and across the tubes, reminiscent of a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We obtain a Bose-Hubbard-like phase diagram that shows that the magnetization of the system undergoes an incompressible-compressible transition as a function of magnetic field and intertube tunneling strength. We find the parity of tube-filling imbalance in incompressible states is protected by that of the oscillatory pairing gap. Finally, we discuss signatures of this transition and thus (indirectly) of the FFLO pairing in cold atom experiments.

5 pages, 4 figures

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• Theory of quasi-one dimensional imbalanced Fermi gases
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• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Dimensional crossover of nonrelativistic bosons
• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Finite temperature stability and dimensional crossover of exotic superfluidity in lattices
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• Fulde-Ferrell-Larkin-Ovchinnikov States in Two-Band Superconductors
• Collective modes of a soliton train in a Fermi superfluid
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Superfluidity of a spin-imbalanced Fermi gas in a three-dimensional optical lattice
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Do phase fluctuations influence the Fulde-Ferrell-Larkin-Ovchinnikov state in a 3D Fermi gas?
• Pairing correlations in a trapped one-dimensional Fermi gas
• Collective excitations of an imbalanced fermion gas in a 1D optical lattice
• Hartree-Fock-Bogoliubov theory of trapped one-dimensional imbalanced Fermi systems
• Bose-Hubbard model with occupation-parity couplings
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach