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Quantum Brownian Motion Revisited

Extensions and Applications

  • Aniello Lampo
  • Miguel Ángel García March
  • Maciej Lewenstein

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 1-6
  3. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 7-18
  4. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 19-39
  5. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 41-55
  6. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 57-72
  7. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 73-84
  8. Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein
    Pages 85-89
  9. Back Matter
    Pages 91-109

About this book

Introduction

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.

Keywords

Brownian motion Open quantum systems Born-Markov master equation Polaron problem Lindblad equation Heisenberg formalism

Authors and affiliations

  • Aniello Lampo
    • 1
  • Miguel Ángel García March
    • 2
  • Maciej Lewenstein
    • 3
  1. 1.Internet Interdisciplinary InstituteUniversitat Oberta de CatalunyaCastelldefelsSpain
  2. 2.QOT groupICFO - Institute of Photonic SciencesCastelldefelsSpain
  3. 3.QOT groupICFO - Institute of Photonic SciencesCastelldefelsSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-16804-9
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-16803-2
  • Online ISBN 978-3-030-16804-9
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site