Optomechanics with interacting Fermi gases: A new approach to detecting spin-charge separation in one-dimensional ultracold atom systems

Abstract

We consider a one-dimensional two-component interacting Fermi gas confined in a cavity. We show that, taking account of the polarization of the cavity field, one can realize an effective cavity optomechanical model with the spin and charge modes playing the role of coupled mechanical resonators, which gives rise to multistability in a steady state. Then, we propose that, by tuning the weak probe laser under a pump field, the signal of spin-charge separation could be probed explicitly via transmission spectra in the sideband resolved regime. Moreover, the spin-charge modes can be addressed separately by designing the probe field configurations, which may be beneficial for future studies of atom-cavity systems. © IOP Publishing and Deutsche Physikalische Gesellschaft.