Quantum Brownian motion induced by thermal noise in the presence of disorder

DOI10.1063/1.4942233zbMath1342.82122arXiv1506.01921OpenAlexW1717895445MaRDI QIDQ2795580

Jeffrey H. Schenker, Jürg Fröhlich

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1506.01921

zbMATH Keywords

disorderthermal noisequantum Brownian motiondiffusive motion

Mathematics Subject Classification ID

Brownian motion (60J65) Statistical mechanics of crystals (82D25) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Open systems, reduced dynamics, master equations, decoherence (81S22) PDEs in connection with statistical mechanics (35Q82)

Related Items (4)

Thermalization of fermionic quantum walkers ⋮ Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential ⋮ The weak coupling limit for the random Schrödinger equation: the average wave function ⋮ Transport of a quantum particle in a time-dependent white-noise potential

Cites Work

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• Dissipative dynamics in semiconductors at low temperature
• How large is large? Estimating the critical disorder for the Anderson model
• Diffusion in the mean for an ergodic Schrödinger equation perturbed by a fluctuating potential
• Diffusion of a massive quantum particle coupled to a quasi-free thermal medium
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• Localization at large disorder and at extreme energies: an elementary derivation
• A kinetic model of quantum jumps.

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