Master equation for a quantum particle in a gas
arXiv:quant-ph/0607085 · doi:10.1103/PhysRevLett.97.060601
Abstract
The equation for the quantum motion of a Brownian particle in a gaseous environment is derived by means of S-matrix theory. This quantum version of the linear Boltzmann equation accounts non-perturbatively for the quantum effects of the scattering dynamics and describes decoherence and dissipation in a unified framework. As a completely positive master equation it incorporates both the known equation for an infinitely massive Brownian particle and the classical linear Boltzmann equation as limiting cases.
5 pages; published version
References in corpus (2)
Cited by in corpus (17)
- Introduction to decoherence theory
- Controllability of open quantum systems with Kraus-map dynamics
- Monitoring derivation of the quantum linear Boltzmann equation
- Monitoring approach to open quantum dynamics using scattering theory
- Collapse models with non-white noises II: particle-density coupled noises
- Non-Markovian dynamics for bipartite systems
- Transition from diffusive to ballistic dynamics for a class of finite quantum models
- On the precise connection between the GRW master-equation and master-equations for the description of decoherence
- Relaxation dynamics of a quantum Brownian particle in an ideal gas
- Emergence of pointer states in a non-perturbative environment
- Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
- Boltzmann equation approach to transport in finite modular quantum systems
- A Monte Carlo Method for Modeling Thermal Damping: Beyond the Brownian-Motion Master Equation
- Visibility Fringe Reduction Due to Noise-Induced Effects: Microscopic Approach to Interference Experiments
- Recoil Free Scattering From a Free Gas
- Open quantum dynamics via environmental monitoring
- Kinetic description of quantum Brownian motion