Quantum Trajectories for Brownian Motion

DOI10.1103/PhysRevLett.83.4909zbMath1042.82554arXivquant-ph/9907100OpenAlexW2015787995MaRDI QIDQ4492621

Ting Yu, Nicolas Gisin, Walter T. Strunz, Lajos Diósi

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9907100

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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Wave function for dissipative harmonically confined electrons in a time-dependent electric field ⋮ Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups ⋮ Optimal Control for Robust Photon State Transfer in Optomechanical Systems ⋮ Comparing two evidences of quantum chaos. ⋮ Quantum Langevin equations for optomechanical systems ⋮ Stratified quantization approach to dissipative quantum systems: Derivation of the Hamiltonian and kinetic equations for reduced density matrices ⋮ Dissipative driven single-band tight-binding dynamics ⋮ Quantum energy and coherence exchange with discrete baths ⋮ Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians

Cites Work

• Path integral approach to quantum Brownian motion
• On the generators of quantum dynamical semigroups
• The non-Markovian stochastic Schrödinger equation for open systems
• Linear quantum state diffusion for non-Markovian open quantum systems.
• Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise
• Classical mechanics from quantum state diffusion - a phase-space approach
• The quantum-state diffusion model applied to open systems
• Mixed classical-quantal representation for open quantum systems
• Quantum state diffusion, localization and computation
• Quantum chaos in open systems: a quantum state diffusion analysis
• Decoherence, Chaos, and the Correspondence Principle
• Open System Dynamics with Non-Markovian Quantum Trajectories

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