Driven-dissipative four-mode squeezing of multilevel atoms in an optical cavity

• URL: http://arxiv.org/abs/2309.10717v3
• Date: Thu, 18 Jan 2024 19:42:42 GMT
• Title: Driven-dissipative four-mode squeezing of multilevel atoms in an optical cavity
• Authors: Bhuvanesh Sundar and Diego Barbarena and Ana Maria Rey and Asier Pi\~neiro Orioli
• Abstract summary: We utilize multilevel atoms trapped in a driven resonant optical cavity to produce scalable multi-mode squeezed states. We show that in this more general system up to four spin squeezed quadratures can be obtained.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We utilize multilevel atoms trapped in a driven resonant optical cavity to produce scalable multi-mode squeezed states for quantum sensing and metrology. While superradiance or collective dissipative emission by itself has been typically a detrimental effect for entanglement generation in optical cavities, in the presence of additional drives it can also be used as an entanglement resource. In a recent work [Phys. Rev. Lett. 132, 033601 (2024)], we described a protocol for the dissipative generation of two-mode squeezing in the dark state of a six-level system with only one relevant polarization. There we showed that up to two quadratures can be squeezed. Here, we develop a generalized analytic treatment to calculate the squeezing in any multilevel system where atoms can collectively decay by emitting light into two polarization modes in a cavity. We show that in this more general system up to four spin squeezed quadratures can be obtained. We study how finite-size effects constrain the reachable squeezing, and analytically compute the scaling with $N$. Our findings are readily testable in current optical cavity experiments with alkaline-earth-like atoms.

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