Out-of-time-order correlators in quantum mechanics

Koji Hashimoto, Keiju Murata, Ryosuke Yoshii

研究成果: Article

25 引用 (Scopus)

抄録

The out-of-time-order correlator (OTOC) is considered as a measure of quantum chaos. We formulate how to calculate the OTOC for quantum mechanics with a general Hamiltonian. We demonstrate explicit calculations of OTOCs for a harmonic oscillator, a particle in a one-dimensional box, a circle billiard and stadium billiards. For the first two cases, OTOCs are periodic in time because of their commensurable energy spectra. For the circle and stadium billiards, they are not recursive but saturate to constant values which are linear in temperature. Although the stadium billiard is a typical example of the classical chaos, an expected exponential growth of the OTOC is not found. We also discuss the classical limit of the OTOC. Analysis of a time evolution of a wavepacket in a box shows that the OTOC can deviate from its classical value at a time much earlier than the Ehrenfest time, which could be the reason of the difficulty for the numerical analyses to exhibit the exponential growth.

元の言語English
記事番号138
ジャーナルJournal of High Energy Physics
2017
発行部数10
DOI
出版物ステータスPublished - 2017 10 1

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correlators
quantum mechanics
boxes
chaos
harmonic oscillators
energy spectra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

これを引用

Out-of-time-order correlators in quantum mechanics. / Hashimoto, Koji; Murata, Keiju; Yoshii, Ryosuke.

:: Journal of High Energy Physics, 巻 2017, 番号 10, 138, 01.10.2017.

研究成果: Article

Hashimoto, Koji ; Murata, Keiju ; Yoshii, Ryosuke. / Out-of-time-order correlators in quantum mechanics. :: Journal of High Energy Physics. 2017 ; 巻 2017, 番号 10.
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