Out-of-time-order correlator in coupled harmonic oscillators

被引：44

作者：

Akutagawa, Tetsuya ^{[1
]}

Hashimoto, Koji ^{[1
]}

Sasaki, Toshiaki ^{[1
]}

Watanabe, Ryota ^{[1
]}

机构：

[1] Osaka Univ, Dept Phys, 1-1 Machikaneyama, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2020年 / 2020卷 / 08期

关键词：

Gauge-gravity correspondence; Black Holes; Models of Quantum Gravity; MILLS; MECHANICS;

D O I：

10.1007/JHEP08(2020)013

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of a possible gravity dual, and a simple toy quantum model showing the growth is being looked for. We consider a system of two harmonic oscillators coupled nonlinearly with each other, and numerically observe that the thermal OTOC grows exponentially in time. The system is well-known to be classically chaotic, and is a reduction of Yang-Mills-Higgs theory. The exponential growth is certified because the growth exponent (quantum Lyapunov exponent) of the thermal OTOC is well matched with the classical Lyapunov exponent, including their energy/temperature dependence. Even in the presence of the exponential growth in the OTOC, the energy level spacings are not sufficient to judge a Wigner distribution, hence the OTOC is a better indicator of quantum chaos.

引用

页数：27