How the electromagnetic field evolves in the presence of a mobile membrane

Abstract

We consider a one-dimensional cavity composed of two perfect, fixed mirrors and a mobile membrane in between. Assuming that the membrane starts to move from rest and that the membrane moves appreciably in a time-scale much larger than the time-scale in which the cavity electromagnetic field evolves appreciably, we derive simple analytic formulas that describe to good approximation the evolution of the field and that provide an intuitive physical picture. These formulas take into account the position, velocity, and acceleration of the membrane and are valid for arbitrarily large displacements of the membrane along the cavity axis. Also, we deduce the conditions under which the field can be described to good approximation by a single instantaneous mode.

References in corpus (16)

• Cavity Optomechanics
• 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
• Bidirectional and efficient conversion between microwave and optical light
• Quantum squeezing of motion in a mechanical resonator
• Non-classical correlations between single photons and phonons from a mechanical oscillator
• Strong Optomechanical Squeezing of Light
• Squeezing of quantum noise of motion in a micromechanical resonator
• Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature
• Quantum nondemolition measurement of a nonclassical state of a massive object
• Pulsed excitation dynamics of an optomechanical crystal resonator near its quantum ground-state of motion
• The photon shuttle: Landau-Zener-Stueckelberg dynamics in an optomechanical system
• Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity
• Scattering theory of cooling and heating in opto-mechanical systems
• Classical Dynamics of a Thin Moving Mirror Interacting with a Laser