Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity
arXiv:1107.1315 · doi:10.1103/PhysRevA.84.023812
Abstract
We formulate a non-relativistic Hamiltonian in order to describe the interaction between a moving dielectric membrane and radiation pressure. Such a Hamiltonian is derived without making use of the single-mode adiabatic approximation, and hence it enables us to incorporate multi-mode effects in cavity optomechanics. By performing second quantization, we show how a set of generalized Fock states can be constructed to represent quantum states of the membrane and cavity field. In addition, we discuss examples showing how photon scattering among different cavity modes would modify the interaction strengths and the mechanical frequency of the membrane.
References in corpus (20)
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Opto-mechanical transducers for long-distance quantum communication
- Dispersive optomechanics: a membrane inside a cavity
- Robust entanglement of a micromechanical resonator with output optical fields
- Steady state entanglement in the mechanical vibrations of two dielectric membranes
- Quantum Optomechanics - throwing a glance
- Current status of the Dynamical Casimir Effect
- Optomechanical trapping and cooling of partially transparent mirrors
- Optical wavelength conversion of quantum states with optomechanics
- Optomechanical sideband cooling of a micromechanical oscillator close to the quantum ground state
- Trapping and Cooling a mirror to its quantum mechanical ground state
- Multiple membrane cavity optomechanics
- Macroscopic thermal entanglement due to radiation pressure
- Hamiltonian approach to the dynamical Casimir effect
- Entangling the ro-vibrational modes of a macroscopic mirror using radiation pressure
- Scattering theory of cooling and heating in opto-mechanical systems
- Cavity cooling of a nanomechanical resonator by light scattering
- Optomechanical cooling with generalized interferometers
- Physically Sound Hamiltonian Formulation of the Dynamical Casimir Effect
Cited by in corpus (45)
- Optomechanical quantum information processing with photons and phonons
- Photon blockade in quadratically coupled optomechanical systems
- Enhanced quantum nonlinearities in a two mode optomechanical system
- Optically Mediated Hybridization Between Two Mechanical Modes
- Single-photon nonlinearities in two-mode optomechanics
- Review of cavity optomechanical cooling
- Reservoir engineering and dynamical phase transitions in optomechanical arrays
- Optoelectromechanical transducer: reversible conversion between microwave and optical photons
- Multimode optomechanical dynamics in a cavity with avoided crossings
- Amplified opto-mechanical transduction of virtual radiation pressure
- Single-photon quadratic optomechanics
- Enhancement of mechanical effects of single photons in modulated two-mode optomechanics
- Proposal for an Optomechanical Microwave Sensor at the Subphoton Level
- Collectively-enhanced optomechanical coupling in periodic arrays of scatterers
- Quantum dynamics of a high-finesse optical cavity coupled with a thin semi-transparent membrane
- Phonon number measurements using single photon opto-mechanics
- Quantum mechanical study of a generic quadratically coupled optomechanical system
- Quantum backaction and noise interference in asymmetric two-cavity optomechanical systems
- Optomechanically induced amplification and perfect transparency in double-cavity optomechanics
- Symmetry-breaking oscillations in membrane optomechanics
- Mirror-Field Entanglement in a Microscopic model for Quantum Optomechanics
- Enhancement of steady-state bosonic squeezing and entanglement in a dissipative optomechanical system
- Dynamical scattering models in optomechanics: Going beyond the 'coupled cavities' model
- Influence functional for two mirrors interacting via radiation pressure
- Optomechanical coupling between a moving dielectric sphere and radiation fields: a Lagrangian-Hamiltonian formalism
- Comparing nonlinear optomechanical coupling in membrane-in-the-middle and single-cavity optomechanical systems
- Optomechanical second-order sidebands and group delays in a spinning resonator with parametric amplifier and non-Markovian effects
- Optimal Optomechanical Coupling Strength in Multi-Membrane Systems
- Shelving-style QND phonon-number detection in quantum optomechanics
- Spatial correlations of field observables in two half-spaces separated by a movable perfect mirror
- Motion-induced enhancement of Rabi coupling between atomic ensembles in cavity optomechanics
- Coherent coupling completes an unambiguous optomechanical classification framework
- Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
- Noise and dissipation on a moving mirror induced by the dynamical Casimir emission
- Adiabatic transfer of energy fluctuations between membranes inside an optical cavity
- On the limitations of a measurement-assisted optomechanical route to quantum macroscopicity of superposition states
- Long-range optomechanical interactions in SiN membrane arrays
- Generation of multipartite entangled states based on double-longitudinal-mode cavity optomechanial system
- Field observables near a fluctuating boundary
- Parametric amplification of light in a cavity with a moving dielectric membrane: Landau-Zener problem for the Maxwell field
- Integrated molecular optomechanics with hybrid dielectric-metallic resonators
- Route to hyperchaos in quadratic optomechanics
- How the electromagnetic field evolves in the presence of a mobile membrane
- Optomechanical systems with linear and quadratic position couplings: Dynamics and optimal estimation
- Estimation of disorders in the rest positions of two membranes in optomechanical systems