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Universal Relaxation in Quantum Systems

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Emerging Frontiers in Nonlinear Science

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 32))

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Abstract

We review universal relaxation dynamics in quantum systems by focusing on the Kibble–Zurek mechanism, coarsening dynamics, and non-thermal fixed points. The first two subjects have recently been applied to quantum systems to explore universal phenomena. The last one concerns universal scale-invariant relaxation dynamics in isolated quantum systems. We overview the theoretical foundations of the universal properties and recent experiments on these topics on the basis of a quantum spin model, the Gross–Pitaevskii theory, and kinetic equations.

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Author information

Authors and Affiliations

  1. Institute for Advanced Research, Nagoya University, Nagoya, 464-8601, Japan

    Kazuya Fujimoto

  2. Department of Applied Physics, Nagoya University, Nagoya, 464-8603, Japan

    Kazuya Fujimoto

  3. Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    Masahito Ueda

  4. RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama, 351-0198, Japan

    Masahito Ueda

Authors
  1. Kazuya Fujimoto
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  2. Masahito Ueda
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Correspondence to Kazuya Fujimoto .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, USA

    Panayotis G. Kevrekidis

  2. Grupo de Fisica No Lineal, Departamento de Fisica Aplicada I, Escuela Politécnica Superior, Universidad de Sevilla, Seville, Spain

    Jesús Cuevas-Maraver

  3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA

    Avadh Saxena

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Fujimoto, K., Ueda, M. (2020). Universal Relaxation in Quantum Systems. In: Kevrekidis, P., Cuevas-Maraver, J., Saxena, A. (eds) Emerging Frontiers in Nonlinear Science. Nonlinear Systems and Complexity, vol 32. Springer, Cham. https://doi.org/10.1007/978-3-030-44992-6_5

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