Diffusive behavior from a quantum master equation

DOI10.1063/1.3614779zbMath1272.81102arXiv0812.2858OpenAlexW2090320247MaRDI QIDQ2849740

Christian Maes, Jeremy Thane Clark, Wojciech De Roeck

Publication date: 24 September 2013

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

Full work available at URL: https://arxiv.org/abs/0812.2858

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov semigroups and applications to diffusion processes (47D07) (n)-body potential quantum scattering theory (81U10) Quantum stochastic calculus (81S25) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (6)

Limit theorems for some continuous-time random walks ⋮ Diffusive limit for a quantum linear Boltzmann dynamics ⋮ Diffusive propagation of wave packets in a fluctuating periodic potential ⋮ Quantum Brownian motion in a simple model system ⋮ Diffusion of a massive quantum particle coupled to a quasi-free thermal medium ⋮ Scattering induced current in a tight-binding band

Cites Work

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• Diffusion of a massive quantum particle coupled to a quasi-free thermal medium
• Quantum Brownian motion in a simple model system
• The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
• Approach to equilibrium for the phonon Boltzmann equation
• Diffusion of wave packets in a Markov random potential
• On the generators of quantum dynamical semigroups
• A note on covariant dynamical semigroups
• Quantum Dynamical Systems
• Energy Diffusion and Superdiffusion in Oscillators Lattice Networks
• Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation

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