Title | Quantum Brownian Motion Revisited [electronic resource] : Extensions and Applications / by Aniello Lampo, Miguel Ángel García March, Maciej Lewenstein |
---|---|

Imprint | Cham : Springer International Publishing : Imprint: Springer, 2019 |

Edition | 1st ed. 2019 |

Connect to | https://doi.org/10.1007/978-3-030-16804-9 |

Descript | VI, 109 p. 22 illus., 20 illus. in color. online resource |

SUMMARY

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

CONTENT

Introduction -- Classical Brownian motion -- Quantum Brownian motion -- Non-linear quantum Brownian motion -- A Lindblad model for quantum Brownian motion -- Heisenberg equations approach -- Conclusions and perspectives -- Heisenberg principle for density operators -- Gaussian approximation -- Bibliography

Quantum theory
Statistical physics
Quantum Physics. http://scigraph.springernature.com/things/product-market-codes/P19080
Statistical Physics and Dynamical Systems. http://scigraph.springernature.com/things/product-market-codes/P19090
Low Temperature Physics. http://scigraph.springernature.com/things/product-market-codes/P25130
Quantum Optics. http://scigraph.springernature.com/things/product-market-codes/P24050
Quantum Gases and Condensates. http://scigraph.springernature.com/things/product-market-codes/P24033