Antiferromagnetic self-ordering of a Fermi gas in a ring cavity
arXiv:1812.01098 · doi:10.1088/1367-2630/ab151e
Abstract
We explore the density and spin self-ordering of driven spin- collisionless fermionic atoms coupled to the electromagnetic fields of a ring resonator. The two spin states are two-photon Raman-coupled via a pair of degenerate counterpropagating cavity modes and two transverse pump fields. In this one-dimensional configuration the coupled atom-field system possesses a continuous translational symmetry and a discrete spin inversion symmetry. At half filling for sufficiently strong pump strengths, the combined symmetry is spontaneously broken at the onset of a superradiant phase transition to a state with self-ordered density and spin structures. We predominately find an antiferromagnetic lattice order at the cavity wavelength. The self-ordered states exhibit unexpected positive momentum pair correlations between fermions with opposite spin. These strong cavity-mediated correlations vanish at higher pump strength.
arXiv comment11 pages, 5 figures
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