Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms

• URL: http://arxiv.org/abs/2109.04540v2
• Date: Sat, 5 Mar 2022 00:41:14 GMT
• Title: Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms
• Authors: Yu-Xiang Zhang, Klaus M{\o}lmer
• Abstract summary: We show that free-fermion states generally appear whenever the band of singly excited states has a quadratic dispersion relation at the band edge. We propose different means for their preparation and analyze their experimental signature in optical detection.
• Score: 8.527960992762184
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: One-dimensional (1D) subwavelength atom arrays display multiply excited subradiant eigenstates which are reminiscent of free fermions. So far, these states have been associated with subradiant states with decay rates $\propto N^{-3}$, with N the number of atoms, which fundamentally prevents detection of their fermionic features by optical means. In this Letter, we show that free-fermion states generally appear whenever the band of singly excited states has a quadratic dispersion relation at the band edge and, hence, may also be obtained with radiant and even superradiant states. 1D arrays have free-fermion multiply excited eigenstates that are typically either subradiant or (super)radiant, and we show that a simple transformation acts between the two families. Based on this correspondence, we propose different means for their preparation and analyze their experimental signature in optical detection.

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