Diffusion approximation of stochastic master equations with jumps

DOI10.1063/1.3263941zbMath1241.81117arXiv0907.3996OpenAlexW3101852719WikidataQ62390367 ScholiaQ62390367MaRDI QIDQ3583721

Francesco Petruccione, Clément Pellegrini

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3996

zbMATH Keywords

diffusionMarkov processesSchrödinger equationmaster equationquantum optics

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

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• Calcul stochastique et problèmes de martingales
• Open quantum systems III. Recent developments. Lecture notes of the summer school, Grenoble, France, June 16th -- July 4th 2003
• Stochastic differential equations with jumps
• Quantum trajectories and measurements in continuous time. The diffusive case
• Weak limit theorems for stochastic integrals and stochastic differential equations
• Diffusion approximation for a class of transport processes with physical reflection boundary conditions
• Constructing quantum measurement processes via classical stochastic calculus
• Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
• Statistical methods in quantum optics 2. Non-classical fields.
• Existence, uniqueness and approximation of a stochastic Schrödinger equation: The diffusive case
• On a class of stochastic differential equations used in quantum optics
• The quantum-state diffusion model applied to open systems
• Stochastic Schrödinger equations
• Quantum Diffusion, Measurement and Filtering I
• Exploring the Quantum

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