Complexity and instability of quantum motion near a quantum phase transition

被引：5

作者：

Qin, Pinquan ^{[1
]}

Wang, Wen-ge ^{[1
]}

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

Casati, Giulio ^{[2
,3
,4
]}

机构：

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

[2] Univ Insubria, CNISM, I-22100 Como, Italy

[3] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy

[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

来源：

PHYSICAL REVIEW E | 2014年 / 89卷 / 03期

基金：

高等学校博士学科点专项科研基金;

关键词：

CHAOTIC SCATTERING; DYNAMICS; DECOHERENCE; STABILITY; SPACE;

D O I：

10.1103/PhysRevE.89.032120

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We show that the number of harmonics of the Wigner function, recently proposed as a measure of quantum complexity, can also be used to characterize quantum phase transitions. The nonanalytic behavior of this quantity in the neighborhood of a quantum phase transition is illustrated by means of the Dicke model and is compared to two well-known measures of the (in) stability of quantum motion: the quantum Loschmidt echo and fidelity.

引用

页数：9

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