Monitoring derivation of the quantum linear Boltzmann equation
arXiv:0711.3109 · doi:10.1103/PhysRevA.77.022112
Abstract
We show how the effective equation of motion for a distinguished quantum particle in an ideal gas environment can be obtained by means of the monitoring approach introduced in [EPL 77, 50007 (2007)]. The resulting Lindblad master equation accounts for the quantum effects of the scattering dynamics in a non-perturbative fashion and it describes decoherence and dissipation in a unified framework. It incorporates various established equations as limiting cases and reduces to the classical linear Boltzmann equation once the state is diagonal in momentum.
published version, 20 pages, 2 figures; now in fancy two-column format
References in corpus (11)
- A Straightforward Introduction to Continuous Quantum Measurement
- Theory of decoherence in a matter wave Talbot-Lau interferometer
- Master equation for a quantum particle in a gas
- Decoherence in a Talbot Lau interferometer: the influence of molecular scattering
- On the quantum description of Einstein's Brownian motion
- Monitoring approach to open quantum dynamics using scattering theory
- Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
- Relaxation dynamics of a quantum Brownian particle in an ideal gas
- First measurements of the index of refraction of gases for lithium atomic waves
- Index of refraction of gases for matter waves: effect of the motion of the gas particles on the calculation of the index
- Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
Cited by in corpus (18)
- Quantum Decoherence
- Introduction to decoherence theory
- Gravity and the Collapse of the Wave Function: a Probe into Diósi-Penrose model
- Spatio-Orientational Decoherence of Nanoparticles
- Non-Markovian dynamics for bipartite systems
- Quantum Angular Momentum Diffusion of Rigid Bodies
- Quantum master equation for collisional dynamics of massive particles with internal degrees of freedom
- Quantum scattering as a work source
- No thermalization without correlations
- Emergence of pointer states in a non-perturbative environment
- Two-point measurement energy statistics from particle scattering
- Stochastic simulation algorithm for the quantum linear Boltzmann equation
- Decoherence: From Interpretation to Experiment
- Recursive perturbation approach to time-convolutionless master equations: Explicit construction of generalized Lindblad generators for arbitrary open systems
- Multiple scattering of matter waves: an analytic model of the refractive index for atomic and molecular gases
- An open scattering model in polymerized quantum mechanics
- Quantum master equations for a fast particle in a gas
- Non-Markovian quantum Brownian motion: a non-Hamiltonian approach