Master equation approach to optomechanics with arbitrary dielectrics
arXiv:1204.4604 · doi:10.1103/PhysRevA.86.013802
Abstract
We present a master equation describing the interaction of light with dielectric objects of arbitrary sizes and shapes. The quantum motion of the object, the quantum nature of light, as well as scattering processes to all orders in perturbation theory are taken into account. This formalism extends the standard master equation approach to the case where interactions among different modes of the environment are considered. It yields a genuine quantum description, including a renormalization of the couplings and decoherence terms. We apply this approach to analyze cavity cooling of the center-of-mass mode of large spheres. Furthermore, we derive an expression for the steady-state phonon numbers without relying on resolved-sideband or bad-cavity approximations.
17 pages, 5 figures
References in corpus (32)
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Colloquium: Light scattering by particle and hole arrays
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Towards quantum superpositions of a mirror
- Self-cooling of a micro-mirror by radiation pressure
- Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode
- Cavity optomechanics using an optically levitated nanosphere
- Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
- Millikelvin cooling of an optically trapped microsphere in vacuum
- Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects
- Opto-mechanical transducers for long-distance quantum communication
- Toward Quantum Superposition of Living Organisms
- A quantum spin transducer based on nano electro-mechancial resonator arrays
- Dispersive optomechanics: a membrane inside a cavity
- Short-range force detection using optically-cooled levitated microspheres
- Quantum Superposition of Massive Objects and Collapse Models
- Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols
- Establishing EPR-channels between Nanomechanics and Atomic Ensembles
- Collisional decoherence reexamined
- Cavity cooling of an optically trapped nanoparticle
- Optomechanical transducers for quantum information processing
- Quantum Master Equation of Particle in Gas Environment
- Master equation for a quantum particle in a gas
- Doppler cooling a microsphere
- Enhancement of mechanical Q-factors by optical trapping
- Three dimensional cooling and detecting of a nanosphere with a single cavity
- Monitoring approach to open quantum dynamics using scattering theory
- Master Equation for the Motion of a Polarizable Particle in a Multimode Cavity
- Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
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- Theory for Cavity Cooling of Levitated Nanoparticles via Coherent Scattering: Master Equation Approach
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- Distribution of laser shot noise energy delivered to a levitated nanoparticle
- Optomechanics assisted with a qubit: From dissipative state preparation to many-body physics
- Probing anharmonicity of a quantum oscillator in an optomechanical cavity
- Coupling a small torsional oscillator to large optical angular momentum
- Quadratic optomechanical cooling of a cavity-levitated nanosphere
- Quantum theory of light interaction with a Lorenz-Mie particle: Optical detection and three-dimensional ground-state cooling
- Crucial tests of macrorealist and semi-classical gravity models with freely falling mesoscopic nanospheres
- Quantum coherence in the dynamical excitation, ionization, and decaying of neon gas induced by X-ray laser
- Probing Spontaneous Wave-Function Collapse with Entangled Levitating Nanospheres
- Enhanced continuous generation of non-Gaussianity through optomechanical modulation
- Talbot--Lau effect beyond the point-particle approximation
- Near-field Levitated Quantum Optomechanics with Nanodiamonds
- Cooling of the rotation of a nanodiamond via the interaction with the electron spin of the contained NV-center
- Quantum Electrodynamics with a Nonmoving Dielectric Sphere: Quantizing Lorenz-Mie Scattering
- Single-photon transfer using levitated cavityless optomechanics
- Employing coupled cavities to increase the cooling rate of a levitated nanosphere in the resolved sideband regime
- Bayesian inference for near-field interferometric tests of collapse models
- Coherent Scattering-mediated correlations between levitated nanospheres
- Probing millicharged particles with ultrasensitive optical nonlinear sensor based on levitated cavity optomechanics