Nonclassical photon statistics in two-tone continuously driven optomechanics
arXiv:2108.10738 · doi:10.1103/PhysRevA.104.063507
Abstract
In cavity optomechanics, single photon detection of Raman scattered photons can be a useful tool for observing nonclassical features of both radiation and motion. While this tool has been employed in experiments with pulsed laser driving of a cavity mode, it has not been readily accessible to experiments with continuous and constant laser driving. To address this, we present a study of a standard optomechanical system where the cavity mode is continuously driven at two different frequencies, and where sideband photons are detected by single photon detectors after frequency filtering the output from the cavity mode around its resonance frequency. We first derive the normalized second order coherence associated with the detected photons, and show that it contains signatures of the quantum nature of the mechanical mode which would be absent with only single-tone driving. To identify model-independent nonclassical features, we derive two inequalities for the sideband photon statistics that should be valid in any classical model of the system. We show that these inequalities are violated in the proposed setup. This is provided that the average phonon occupation number of the mechanical mode is sufficiently small, which in principle can be achieved through sideband cooling intrinsic to the setup. Violation of the first inequality means that there is no well-defined probability distribution of the Glauber-Sudarshan type for the cavity mode. In contrast, a violation of the second inequality means that there is no joint probability distribution for the cavity mode at two times separated by a finite interval, which originates from the noncommutativity of the motional quadratures of the mechanical mode. The proposed setup thus employs a mechanical oscillator in order to generate a steady-state source of nonclassical radiation.
arXiv comment13 pages, 10 figures
References in corpus (35)
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Quantum squeezing of motion in a mechanical resonator
- Remote quantum entanglement between two micromechanical oscillators
- Entangled massive mechanical oscillators
- Non-classical correlations between single photons and phonons from a mechanical oscillator
- Squeezing of quantum noise of motion in a micromechanical resonator
- Measurement of the quantum zero-point motion of a nanomechanical resonator
- Back-action evasion and squeezing of a mechanical resonator using a cavity detector
- Direct observation of deterministic macroscopic entanglement
- Quantum nondemolition measurement of a nonclassical state of a massive object
- Arbitrarily large steady-state bosonic squeezing via dissipation
- Hanbury Brown and Twiss interferometry of single phonons from an optomechanical resonator
- Back-action Evading Measurements of Nanomechanical Motion
- Phonon counting and intensity interferometry of a nanomechanical resonator
- Emitters of -photon bundles
- Quantum-mechanics free subsystem with mechanical oscillators
- Mechanically Detecting and Avoiding the Quantum Fluctuations of a Microwave Field
- Optically detecting the quantization of collective atomic motion
- Proposal for entangling remote micromechanical oscillators via optical measurements
- Resolving the vacuum fluctuations of an optomechanical system using an artificial atom
- Measurement of the motional sidebands of a nanogram-scale oscillator in the quantum regime
- -phonon bundle emission via the anti-Stokes process
- Nonclassical correlation properties of radiation fields
- Optomechanical Raman-Ratio Thermometry
- Optical Backaction-Evading Measurement of a Mechanical Oscillator
- Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device
- Parity-Symmetry-Protected Bundle Emission
- Single-Phonon Addition and Subtraction to a Mechanical Thermal State
- Phonon counting thermometry of an ultracoherent membrane resonator near its motional ground state
- Two-Tone Optomechanical Instability and Its Fundamental Implications for Backaction-Evading Measurements
- Time-dependent quantum correlations in phase space
- Optomechanical back-action evading measurement without parametric instability