Atomic flow driven by superradiance and particle pumping in an incommensurate optical lattice

This work studies the non-equilibrium dynamics of polarized fermions in a one-dimensional cavity-assisted hopping lattice with an incommensurate potential. By employing the Keldysh Green’s function method to solve the equations of motions, we demonstrate that both the superradiance and kinetic energy of the atoms are suppressed, if we tune the strength of the incommensurate potential large enough. We also find that the right directed current originates from the skin effect, which is derived by two processes: one is the superradiance; another is the energy pumping of the oscillating phase of the cavity mode. Besides these, we explore the other dynamical properties associated with different boundary conditions and prove the unique characteristics of the steady state in our model.