Quantum Signatures of the Optomechanical Instability

Abstract

In the past few years, coupling strengths between light and mechanical motion in optomechanical setups have improved by orders of magnitude. Here we show that, in the standard setup under continuous laser illumination, the steady state of the mechanical oscillator can develop a non-classical, strongly negative Wigner density if the optomechanical coupling is large at the single-photon level. Because of its robustness, such a Wigner density can be mapped using optical homodyne tomography. These features are observed near the onset of the instability towards self-induced oscillations. We show that there are also distinct signatures in the photon-photon correlation function $g^{(2)}(t)$ in that regime, including oscillations decaying on a time scale not only much longer than the optical cavity decay time, but even longer than the \emph{mechanical} decay time.

6 pages including 1 appendix. 6 Figures. Corrected

References in corpus (7)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Single-photon Optomechanics
• Optimized optomechanical crystal cavity with acoustic radiation shield
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• The optomechanical instability in the quantum regime

Cited by in corpus (82)

• Cavity Optomechanics
• Quantum many-body dynamics in optomechanical arrays
• Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Optomechanically Induced Transparency in the Nonlinear Quantum Regime
• Phonon counting and intensity interferometry of a nanomechanical resonator
• Mechanical PT symmetry in coupled optomechanical systems
• Signatures of nonlinear cavity optomechanics in the weak coupling regime
• Enhancing optomechanical coupling via the Josephson effect
• Correlated two-photon scattering in cavity optomechanics
• Equivalence between an optomechanical system and a Kerr medium
• Resources of nonlinear cavity magnonics for quantum information
• Noise-Induced Transitions in Optomechanical Synchronization
• Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime
• Optomechanical-like coupling between superconducting resonators
• Synchronization dynamics of two nanomechanical membranes within a Fabry-Perot cavity
• Full photon statistics of a light beam transmitted through an optomechanical system
• Quantum coherence in ultrastrong optomechanics
• Synchronization of an optomechanical system to an external drive
• Quantum optomechanical piston engines powered by heat
• Collectively-enhanced optomechanical coupling in periodic arrays of scatterers
• Nonclassical mechanical states in an optomechanical micromaser analogue
• Multimode strong-coupling quantum optomechanics
• Quantum-dot circuit-QED thermoelectric diodes and transistors
• Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field
• Flux-mediated optomechanics with a transmon qubit in the single-photon ultrastrong-coupling regime
• Single-photon transport in a one dimentional waveguide coupling to a hybrid atom-optomechanical system
• Generalized Ultrastrong Optomechanics
• Entangled-state generation and Bell inequality violations in nanomechanical resonators
• More nonlocality with less entanglement in a tripartite atom-optomechanical system
• Quantum Phase Transitions in Optomechanical Systems
• Fully Quantum Approach to Optomechanical Entanglement
• Quantum Nonlinear Optics Near Optomechanical Instabilities
• Phase-Controlled Phonon Laser
• General linearized theory of quantum fluctuations around arbitrary limit cycles
• Antibunching in an optomechanical oscillator
• Phase noise of self-sustained optomechanical oscillators
• Sideband-resolved resonator electromechanics on the single-photon level based on a nonlinear Josephson inductance
• Probing anharmonicity of a quantum oscillator in an optomechanical cavity
• Strong Single-Photon Coupling in Superconducting Quantum Magnetomechanics
• Squeezed light and correlated photons from dissipatively coupled optomechanical systems
• Ultra-Strong Optomechanics Incorporating the Dynamical Casimir Effect
• Reaching the optomechanical strong coupling regime with a single atom in a cavity
• Sub-Poissonian Phonon Lasing in Three-Mode Optomechanics
• Bell correlations in a split two-mode-squeezed Bose-Einstein condensate
• Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
• Enhancing non-classicality in mechanical systems
• Near-field Levitated Quantum Optomechanics with Nanodiamonds
• Iterative solutions to the steady state density matrix for optomechanical systems
• Interference effects in hybrid cavity optomechanics
• Limit Cycle Phase and Goldstone Mode in Driven Dissipative Systems
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
• Acoustic confinement in superlattice cavities
• Intermittency in an Optomechanical Cavity Near a Subcritical Hopf Bifurcation
• Mechanical cooling in the bistable regime of a dissipative optomechanical cavity with a Kerr medium
• Scheme for steady-state preparation of a harmonic oscillator in the first excited state
• Deterministic preparation of highly non-classical macroscopic quantum states
• Floquet scattering of light and sound in Dirac optomechanics
• Optomechanical Self-Oscillations in an Anharmonic Potential: Engineering a Nonclassical Steady State
• Quantum nonlinear dynamics of optomechanical systems in the strong coupling regime
• Spectrometric detection of weak forces in cavity optomechanics
• Charge dynamics in quantum-circuit refrigeration: thermalization and microwave gain
• Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems
• Hydrodynamic interpretation of generic squeezed coherent states: A kinetic theory
• Nonclassical mechanical states in cavity optomechanics in the single-photon strong-coupling regime
• Multiphonon quantum dynamics in cavity optomechanical systems
• Time Resolved Phase Space Tomography of an Optomechanical Cavity
• Classical Dynamics of a Thin Moving Mirror Interacting with a Laser
• Entanglement engineering of optomechanical systems by reinforcement learning
• Unraveling nonclassicality in the optomechanical instability
• Dissipation-driven nonclassical state generation in optomechanics with squeezed light
• Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
• Spectral characterization of couplings in a mixed optomechanical model
• Transmissive optomechanical platforms with engineered spatial defects
• Dynamical Generation of Synthetic Electric Fields for Photons in the Quantum Regime
• Phonon statistics in an acoustical resonator coupled to a pumped two-level emitter
• Atom-driven multistability in an optomechanical cavity under broken PT-symmetry
• Reservoir Engineering for Classical Nonlinear Fields
• Analytical exploration of the optomechanical attractor diagram and of limit cycles
• Semiclassical dynamics of a flux qubit coupled to a nanomechanical oscillator
• Theoretical framework for enhancing or enabling cooling of a mechanical resonator via the anti-Stokes or Stokes interaction and zero-photon detection
• Work extraction from heat-powered quantized optomechanical setups