Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems

被引：9

作者：

Kota, Venkata Krishna Brahmam ^{[1
]}

Chavda, Narendra D. ^{[2
]}

机构：

[1] Phys Res Lab, Div Theoret Phys, Ahmadabad 380009, Gujarat, India

[2] Maharaja Sayajirao Univ Baroda, Dept Appl Phys, Fac Engn & Technol, Vadodara 390001, India

来源：

ENTROPY | 2018年 / 20卷 / 07期

关键词：

embedded ensembles; k-body interactions; lie algebras; fermions; bosons; thermalization; fidelity; q-hermite polynomials; EMBEDDED GAUSSIAN ENSEMBLES; FERMION-FERMION MODEL; RANDOM MATRICES; QUANTUM CHAOS; STATISTICAL-MECHANICS; SPECTRAL PROPERTIES; UNITARY ENSEMBLE; DISTRIBUTIONS; EQUILIBRIUM; TRANSITION;

D O I：

10.3390/e20070541

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-particle spaces are now well established to be paradigmatic models for many-body chaos and thermalization in isolated finite quantum (fermion or boson) systems. In this article, briefly discussed are (i) various embedded ensembles with Lie algebraic symmetries for fermion and boson systems and their extensions (for Majorana fermions, with point group symmetries etc.); (ii) results generated by these ensembles for various aspects of chaos, thermalization and statistical relaxation, including the role of q-hermite polynomials in k-body ensembles; and (iii) analyses of numerical and experimental data for level fluctuations for trapped boson systems and results for statistical relaxation and decoherence in these systems with close relations to results from embedded ensembles.

引用

页数：22

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