Squeezing multilevel atoms in dark states via cavity superradiance

Abstract

We describe a method to create and store scalable and long-lived entangled spin-squeezed states within a manifold of many-body cavity dark states using collective emission of light from multilevel atoms inside an optical cavity. We show that the system can be tuned to generate squeezing in a dark state where it will be immune to superradiance. We also show more generically that squeezing can be generated using a combination of superradiance and coherent driving in a bright state, and subsequently be transferred via single-particle rotations to a dark state where squeezing can be stored. Our findings, readily testable in current optical cavity experiments with alkaline-earth-like atoms, can open a path for dissipative generation and storage of metrologically useful states in optical transitions.

4.5 pages, 3 figures + Supplement; New sections in Supplement

References in corpus (14)

• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Twin matter waves for interferometry beyond the classical limit
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Dissipative Preparation of Spin Squeezed Atomic Ensembles in a Steady State
• Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate
• Photonic Band Structure of Two-dimensional Atomic Lattices
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Cavity QED engineering of spin dynamics and squeezing in a spinor gas
• Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
• Quantum Optimal Control of Nuclear Spin Qudecimals in ${}^{87}\text{Sr}$
• Dissipation-engineered family of nearly dark states in many-body cavity-atom systems
• Collective dynamics of the unbalanced three-level Dicke model
• Bosonic pair production and squeezing for optical phase measurements in long-lived dipoles coupled to a cavity

Cited by in corpus (5)

• Dark-state engineering in Fock-state lattices
• Non-Gaussian generalized two-mode squeezing: applications to two-ensemble spin squeezing and beyond
• Dynamics of spin-momentum entanglement from superradiant phase transitions
• Driven-dissipative four-mode squeezing of multilevel atoms in an optical cavity
• Adding Photonic Entanglement to Superradiance by Using Multilevel Atoms