Completely Positive Quantum Dissipation
arXiv:quant-ph/0002094 · doi:10.1103/PhysRevLett.84.1374
Abstract
A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation can be cast into Lindblad form with a single generator for each Cartesian direction. Temperature dependent friction and diffusion coefficients for both position and momentum are expressed in terms of the collision cross-section.
8 pages, revtex, no figures
References in corpus (1)
Cited by in corpus (72)
- Phase noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion
- Quantum linear Boltzmann equation
- Preservation of Positivity by Dynamical Coarse-Graining
- Master equation for a quantum particle in a gas
- Exact closed master equation for Gaussian non-Markovian dynamics
- Gravity and the Collapse of the Wave Function: a Probe into Diósi-Penrose model
- Test Particle in a Quantum Gas
- On the Energy Increase in Space-Collapse Models
- Translation-covariant Markovian master equation for a test particle in a quantum fluid
- On the quantum description of Einstein's Brownian motion
- Monitoring derivation of the quantum linear Boltzmann equation
- Collapse models with non-white noises II: particle-density coupled noises
- Non-Markovian dynamics for bipartite systems
- Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
- Dissipation in the Caldeira-Leggett model
- Theory of decoherence due to scattering events and Lévy processes
- Dissipative extension of the Ghirardi-Rimini-Weber model
- Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
- Quantum Langevin equations for optomechanical systems
- Quantum optical versus quantum Brownian motion master-equation in terms of covariance and equilibrium properties
- On the precise connection between the GRW master-equation and master-equations for the description of decoherence
- A Lindblad Model of Quantum Brownian Motion
- Wigner-Lindblad equations for quantum friction
- Quantum dissipation with conditional wave functions: Application to the realistic simulation of nanoscale electron devices
- Relaxation dynamics of a quantum Brownian particle in an ideal gas
- Non-Abelian linear Boltzmann equation and quantum correction to Kramers and Smoluchowski equation
- Master-equations for the study of decoherence
- On the Electromagnetic Properties of Matter in Collapse Models
- Numerical analysis of a spontaneous collapse model for a two-level system
- Stability of stationary solutions of the Schrodinger-Langevin equation
- Subdynamics of relevant observables: a field theoretical approach
- Reply to Comment on "Completely positive quantum dissipation"
- Unraveling Quantum Brownian Motion: Pointer States and their Classical Trajectories
- Bifurcation Phenomenon in a Spin Relaxation
- No thermalization without correlations
- Quantum time-dependent Monte Carlo simulation of electron devices with 2D linear-band materials: a genuine TeraHertz signature for graphene
- Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
- Mechanical cooling and squeezing using optimal control
- Diffusive behavior from a quantum master equation
- Coarse-graining master equation for periodically driven systems
- Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach
- Instantaneous and dynamical decoherence
- Stochastic limit approximation for rapidly decaying systems
- A new non-perturbative approach to Quantum Brownian Motion
- Quantum theory: the role of microsystems and macrosystems
- Collisional Quantum Brownian Motion
- Physics of a microsystem starting from non-equilibrium quantum statistical mechanics
- Experimental bounds on linear-friction dissipative collapse models from levitated optomechanics
- Zero-point energies, the uncertainty principle and positivity of the quantum Brownian density operator
- Generalized quantum Fokker-Planck equation for photoinduced nonequilibrium processes with positive definiteness condition
- Visibility Fringe Reduction Due to Noise-Induced Effects: Microscopic Approach to Interference Experiments
- Strong causality from weak via continuous monitoring
- Open quantum dynamics via environmental monitoring
- Decoherence rates for Galilean covariant dynamics
- Kinetic description of quantum Brownian motion
- Friction as a consistent quantum-mechanical concept
- An infinite-temperature limit for a quantum scattering process
- Diffusive limit for a quantum linear Boltzmann dynamics
- Non-Markovian Caldeira--Leggett quantum master equation
- A Davydov Ansatz approach to accurate system-bath dynamics in the presence of multiple baths with distinct temperatures
- Time scale of stationary decoherence
- Gravity as a classical channel and its dissipative generalization
- Minimal scattering entanglement in one-dimensional trapped gases
- Quantum friction: environment engineering perspectives
- Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
- Collisional decoherence of a tracer particle moving in one dimension
- Dissipative Systems and Objective Description: Quantum Brownian Motion as an Example
- Error bounds on the universal Lindblad equation in the thermodynamic limit
- From equivalent Lagrangians to inequivalent open quantum system dynamics
- Fluctuation-Dissipation Inequality for Quadratic Open Systems
- The Brownian Motion in an Ideal Quantum Qas
- Nonequilibrium evolution of quarkonium in medium