Diffusive propagation of wave packets in a fluctuating periodic potential

DOI10.1007/S11005-010-0436-YzbMath1206.82125arXiv1002.0599OpenAlexW1992831189MaRDI QIDQ621813

Eman Hamza, Yang Kang, Jeffrey H. Schenker

Publication date: 28 January 2011

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

Full work available at URL: https://arxiv.org/abs/1002.0599

zbMATH Keywords

diffusionSchrödinger equationMarkov processquantum Brownian motionrandom Schrödinger equation

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Applications of quantum theory to specific physical systems (81V99) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Diffusive limit for a quantum linear Boltzmann dynamics ⋮ Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential ⋮ Random time-dependent quantum walks ⋮ Correlated Markov quantum walks

Cites Work

• Quantum Brownian motion in a simple model system
• Quantum diffusion of the random Schrödinger evolution in the scaling limit
• Diffusion of wave packets in a Markov random potential
• Some results on the quantum dynamics of a particle in a Markovian potential
• Transport properties of Markovian Anderson model
• Markovian Anderson model: Bounds for the rate of propagation
• Quantum diffusion for the Anderson model in the scaling limit
• Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams
• Diffusive behavior from a quantum master equation

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