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

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.

arXiv comment14 pages, 5 figures + Appendix; References updated; Moved some sections from Appendix to main text

References in corpus (25)

• Quantum metrology with nonclassical states of atomic ensembles
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Quantum spin squeezing
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Dissipative preparation of entanglement in optical cavities
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Deterministic Squeezed States with Joint Measurements and Feedback
• Exploring dynamical phase transitions with cold atoms in an optical cavity
• Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
• Multi-parameter estimation beyond Quantum Fisher Information
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Squeezing the Collective Spin of a Dilute Atomic Ensemble by Cavity Feedback
• Dissipatively driven entanglement of two macroscopic atomic ensembles
• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• Spin squeezing inequalities for arbitrary spin
• Spin squeezing and entanglement for arbitrary spin
• Cavity-aided non-demolition measurements for atom counting and spin squeezing
• Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
• Robust spin squeezing via photon-mediated interactions on an optical clock transition
• One- and two-axis squeezing of atomic ensembles in optical cavities
• Driven-Dissipative Quantum Dynamics in Ultra Long-lived Dipoles in an Optical Cavity
• Optimal and Variational Multi-Parameter Quantum Metrology and Vector Field Sensing
• Vacuum spin squeezing
• Multilevel Holstein-Primakoff approximation and its application to atomic spin squeezing and ensemble quantum memories
• Squeezing multilevel atoms in dark states via cavity superradiance

Cited by in corpus (1)

• Delocalized Excitation Transfer in Open Quantum Systems with Long-Range Interactions