Hamiltonian approach to the dynamical Casimir effect
arXiv:hep-th/0607186 · doi:10.1103/PhysRevLett.97.130401
Abstract
A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional cavity with partially transmitting mirrors (an essential proviso) is considered, but the method can be extended to fields of any kind and higher dimensions. The motional force calculated in our approach contains a reactive term --proportional to the mirrors' acceleration-- which is fundamental in order to obtain (quasi)particles with a positive energy all the time during the movement of the mirrors --while always satisfying the energy conservation law. Comparisons with other approaches and a careful analysis of the interrelations among the different results previously obtained in the literature are carried out.
4 pages, no figures; version published in Phys. Rev. Lett. 97 (2006) 130401
References in corpus (15)
- Motion Induced Radiation from a Vibrating Cavity
- Fluctuations and dissipation for a mirror in vacuum
- Casimir force between partially transmitting mirrors
- Quantum electromagnetic field in a three dimensional oscillating cavity
- Trembling cavities in the canonical approach
- Detectability of dissipative motion in quantum vacuum via superradiance
- Dynamical Casimir Effect in a Leaky Cavity at Finite Temperature
- Production of photons by the parametric resonance in the dynamical Casimir effect
- Decoherence via Dynamical Casimir Effect
- Motional Casimir force
- Dynamical Casimir Effect and Quantum Cosmology
- Notes on moving mirrors
- Radiation Pressure as a Source of Decoherence
- Vibrating Cavities - A numerical approach
- Inertia of Casimir energy
Cited by in corpus (29)
- Non-perturbative Dynamical Casimir Effect in Optomechanical Systems: Vacuum Casimir-Rabi Splittings
- Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity
- Pulsating Casimir force
- Quantum dissipative effects in moving mirrors: a functional approach
- How does Casimir energy fall? II. Gravitational acceleration of quantum vacuum energy
- Photon creation in a resonant cavity with a nonstationary plasma mirror and its detection with Rydberg atoms
- Bose-Einstein condensation and Casimir effect for ideal Bose Gas confined between two slabs
- Zeta Function Methods and Quantum Fluctuations
- Theory of optomechanics: Oscillator-field model of moving mirrors
- An analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: Generation and quantum statistical properties
- Dynamical Casimir effect for magnons in a spinor Bose-Einstein condensate
- Physically Sound Hamiltonian Formulation of the Dynamical Casimir Effect
- Black hole collapse simulated by vacuum fluctuations with a moving semi-transparent mirror
- Exact closed form analytical solutions for vibrating cavities
- Dynamical Casimir effect with mirrors
- Nonequilibrium dressing in a cavity with a movable reflecting mirror
- Dynamical Casimir Effect for Two Oscillating Mirrors in 3-D
- Resolution of an apparent inconsistency in the electromagnetic Casimir effect
- Particle Production by a Relativistic Semi-Transparent Mirror in 1+3D Minkowski Spacetime
- Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution
- Casimir force between mirrors transparent at high frequencies
- Dynamical Casimir Effect with Semi-Transparent Mirrors, and Cosmology
- Optomechanical Backreaction of Quantum Field Processes in Dynamical Casimir Effect
- Dynamical Casimir effect enhanced by decreasing the mirror reflectivity
- Dynamical Casimir Effect and the Black Body Spectrum
- Number of particle creation and decoherence in the nonideal dynamical Casimir effect at finite temperature
- Atom-field dynamics in curved spacetime
- Realizing a mechanical dynamical Casimir effect with a low-frequency oscillator
- Inspiraling Corrugation-Induced Quantum Effects on Neutron Star Binary Plane