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We theoretically investigate a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) typesuperfluid phase transition in a driven-dissipative two-component Fermi gas.The system is assumed to be in the non-equilibrium steady state, which is tunedby adjusting the chemical potential difference between two reservoirs that arecoupled with the system. Including pairing fluctuations by extending thestrong-coupling theory developed in the thermal-equilibrium state by Nozieresand Schmitt-Rink to this non-equilibrium case, we show that a non-equilibriumFFLO (NFFLO) phase transition can be realized without spin imbalance, under theconditions that (1) the two reservoirs imprint a two-edge structure on themomentum distribution of Fermi atoms, and (2) the system is loaded on athree-dimensional cubic optical lattice. While the two edges work like twoFermi surfaces with different sizes, the role of the optical lattice is toprevent the NFFLO long-range order from destruction by NFFLO pairingfluctuations. We also draw the non-equilibrium mean-field phase diagram interms of the chemical potential difference between the two reservoirs, afictitious magnetic field to tune the spin imbalance of the system, and theenvironmental temperature of the reservoirs, to clarify the relation betweenthe NFFLO state and the ordinary thermal-equilibrium FFLO state discussed inspin-imbalanced Fermi gases.

physical review. a/physical review, a

Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a  spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional  cubic optical lattice