Floquet-Magnus theory and generic transient dynamics in periodically driven many-body quantum systems

Tomotaka Kuwahara, Takashi Mori, Keiji Saitou

研究成果: Article

144 引用 (Scopus)

抄録

This work explores a fundamental dynamical structure for a wide range of many-body quantum systems under periodic driving. Generically, in the thermodynamic limit, such systems are known to heat up to infinite temperature states in the long-time limit irrespective of dynamical details, which kills all the specific properties of the system. In the present study, instead of considering infinitely long-time scale, we aim to provide a general framework to understand the long but finite time behavior, namely the transient dynamics. In our analysis, we focus on the Floquet-Magnus (FM) expansion that gives a formal expression of the effective Hamiltonian on the system. Although in general the full series expansion is not convergent in the thermodynamics limit, we give a clear relationship between the FM expansion and the transient dynamics. More precisely, we rigorously show that a truncated version of the FM expansion accurately describes the exact dynamics for a certain time-scale. Our theory reveals an experimental time-scale for which non-trivial dynamical phenomena can be reliably observed. We discuss several dynamical phenomena, such as the effect of small integrability breaking, efficient numerical simulation of periodically driven systems, dynamical localization and thermalization. Especially on thermalization, we discuss a generic scenario on the prethermalization phenomenon in periodically driven systems.

元の言語English
ページ(範囲)96-124
ページ数29
ジャーナルAnnals of Physics
367
DOI
出版物ステータスPublished - 2016 4 1

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expansion
thermodynamics
series expansion
dynamical systems
heat
simulation
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

Floquet-Magnus theory and generic transient dynamics in periodically driven many-body quantum systems. / Kuwahara, Tomotaka; Mori, Takashi; Saitou, Keiji.

:: Annals of Physics, 巻 367, 01.04.2016, p. 96-124.

研究成果: Article

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