Complexity of quantum motion and quantum-classical correspondence: A phase-space approach

被引：18

作者：

Wang, Jiaozi ^{[1
]}

Benenti, Giuliano ^{[2
,3
,4
]}

Casati, Giulio ^{[2
,5
]}

Wang, Wen-ge ^{[1
]}

机构：

[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China

[2] Univ Insubria, Ctr Nonlinear & Complex Syst, Dipartimento Sci & Alta Tecnol, Via Valleggio 11, I-22100 Como, Italy

[3] Ist Nazl Fis Nucl, Sez Milano, Via Celoria 16, I-20133 Milan, Italy

[4] CNR, Ist Nanosci, NEST, I-56126 Pisa, Italy

[5] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ Lagoa Nova,CP 1613, BR-59078970 Natal, RN, Brazil

来源：

PHYSICAL REVIEW RESEARCH | 2020年 / 2卷 / 04期

关键词：

TIME EVOLUTION; OPERATORS; CHAOS;

D O I：

10.1103/PhysRevResearch.2.043178

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the connection between the out-of-time-ordered correlator and the number of harmonics of the phase-space Wigner distribution function. In particular, we show that both quantities grow exponentially for chaotic dynamics, with a rate determined by the largest Lyapunov exponent of the underlying classical dynamics, and algebraically-linearly or quadratically-for integrable dynamics. It is then possible to use such quantities to detect in the time domain the integrability-to-chaos crossover in many-body quantum systems.

引用

页数：6

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