Quantum light by atomic arrays in optical resonators

Abstract

Light scattering by a periodic atomic array is studied when the atoms couple with the mode of a high-finesse optical resonator and are driven by a laser. When the von-Laue condition is not satified, there is no coherent emission into the cavity mode, and the latter is pumped via inelastic scattering processes. We consider this situation and identify conditions for which different non-linear optical processes can occur. We show that these processes can be controlled by suitably tuning the strength of laser and cavity coupling, the angle between laser and cavity axis, and the array periodicity. We characterize the coherence properties of the light when the system can either operate as degenerate parametric amplifier or as a source of antibunched-light. Our study permits us to identify the individual multi-photon components of the nonlinear optical response of the atomic array and the corresponding parameter regimes, thereby in principle allowing one for controlling the nonlinear optical response of the medium.

11 pages, 10 figures, version to appear in Phys. Rev. A

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Cited by in corpus (16)

• Direct observation of deterministic macroscopic entanglement
• Bose-glass phases of ultracold atoms due to cavity backaction
• Interference and dynamics of light from a distance-controlled atom pair in an optical cavity
• Enhancing Photon Correlations through Plasmonic Strong Coupling
• Prethermalization of atoms due to photon-mediated long-range interactions
• Optomechanical cooling with intracavity squeezed light
• Super-radiant and Sub-radiant Cavity Scattering by Atom Arrays
• Optimised multi-ion cavity coupling
• Dynamical phase transitions to optomechanical superradiance
• Cooling of atomic ensembles in optical cavities: Semiclassical limit
• Quantum phases of incommensurate optical lattices due to cavity backaction
• Enhanced collective Purcell effect of coupled quantum emitter systems
• Unraveling the quantum nature of atomic self-ordering in a ring cavity
• Quantum properties of light scattered from structured many-body phases of ultracold atoms in quantum optical lattices
• Stationary entanglement of photons and atoms in a high-finesse resonator
• Superradiant phase transitions in one-dimensional correlated Fermi gases with cavity-induced umklapp scattering