Quantum Brownian Motion Revisited: Extensions and Applications

✍ Scribed by Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 111
• Series: SpringerBriefs in Physics
• Edition: 1st ed.
• Category: Library

✦ Synopsis

Quantum Brownian motion represents a paradigmatic model of open quantum system, namely a system inextricably coupled to the surrounding environment. Such a model is largely used in physics, for instance in quantum foundations to approach in a quantitative manner the quantum-to-classical transition, but also for more practical purposes as the estimation of decoherence in quantum optics experiments.

This book presents the main techniques aimed to treat the dynamics of the quantum Brownian particle: Born-Markov master equation, Lindblad equation and Heisenberg equations formalism. Particular attention is given to the interaction between the particle and the bath depends non-linearly on the position of the former. This generalization corresponds to the case in which the bath is not homogeneous. An immediate application is the Bose polaron, specifically an impurity embedded in an ultracold gas.

✦ Table of Contents

Front Matter ....Pages i-vi
Introduction (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 1-6
Classical Brownian Motion (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 7-18
Quantum Brownian Motion (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 19-39
Non-linear Quantum Brownian Motion (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 41-55
A Lindblad Model for Quantum Brownian Motion (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 57-72
Heisenberg Equations Approach (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 73-84
Conclusions and Perspectives (Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein)....Pages 85-89
Back Matter ....Pages 91-109

✦ Subjects

Physics; Quantum Physics; Statistical Physics and Dynamical Systems; Low Temperature Physics; Quantum Optics; Quantum Gases and Condensates