Noise and dissipation on a moving mirror induced by the dynamical Casimir emission
arXiv:2306.03813 · doi:10.1088/2515-7647/acff56
Abstract
We adopt an open quantum system approach to study the effects of the back-reaction from a quantum field onto the dynamics of a moving mirror. We describe the coupling between the mirror and the field by using a microscopic model from which the dielectric response of the mirror is obtained from first principles. Using second-order perturbation theory, we derive the master equation governing the mechanical motion of the mirror. Our analysis reveals that the mirror experiences coloured noise and non-local dissipation, which originate from the emission of particle pairs via the dynamical Casimir effect. We show that the noise and dissipation kernels, that enter in the definition of the time-dependent coefficients of the master equation, are related by fluctuation-dissipation relations.
16 pages, 2 figures. Submitted to Journal of Physics: Photonics, as part of Emerging Leaders 2023 Collection
References in corpus (16)
- Quantum Thermodynamic Cycles and quantum heat engines
- Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
- Current status of the Dynamical Casimir Effect
- An acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate
- The dynamical Casimir effect in superconducting microwave circuits
- Parity measurement in the strong dispersive regime of circuit quantum acoustodynamics
- Theory of an optomechanical quantum heat engine
- Observation of Massless and Massive Collective Excitations with Faraday Patterns in a Two-Component Superfluid
- Quantum dissipative effects in moving mirrors: a functional approach
- Vacuum energy densities of a field in a cavity with a mobile boundary
- Vacuum Casimir energy densities and field divergences at boundaries
- Influence functional for two mirrors interacting via radiation pressure
- Nonequilibrium dressing in a cavity with a movable reflecting mirror
- Coherent Resonant Coupling between Atoms and a Mechanical Oscillator Mediated by Cavity-Vacuum Fluctuations
- Spatial correlations of field observables in two half-spaces separated by a movable perfect mirror
- Dissipative dynamics of a particle coupled to field via internal degrees of freedom
Cited by in corpus (4)
- Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
- Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror
- Foundational Issues in Dynamical Casimir Effect and Analogue Features in Cosmological Particle Creation
- Atom-Field-Medium Interactions I: Graded Influence Actions for Harmonic Atoms in a Dielectric-Altered Quantum Field