Quantum Brownian motion revisited: extensions and applications Books uri icon

authors

publication date

  • 2019

isbn

  • 978-3-030-16804-9

series title / series number

  • SpringerBriefs in Physics

International Standard Serial Number (ISSN)

  • 2191-5431

abstract

  • 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.

subjects

  • Mathematics
  • Physics

keywords

  • brownian motion; open quantum systems; born-markov master equation; polaron problem; lindblad equation; heisenberg formalism