用于孤立系统中混沌与热化的随机体系综。
Random -Body Ensembles for Chaos and Thermalization in Isolated Systems.
作者信息
Kota Venkata Krishna Brahmam, Chavda Narendra D
机构信息
Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380009, India.
Department of Applied Physics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, India.
出版信息
Entropy (Basel). 2018 Jul 20;20(7):541. doi: 10.3390/e20070541.
Embedded ensembles or random matrix ensembles generated by -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 -hermite polynomials in -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.
由在多粒子空间中起作用的多体相互作用产生的嵌入系综或随机矩阵系综，如今已被公认为是孤立有限量子（费米子或玻色子）系统中多体混沌和热化的典型模型。在本文中，简要讨论了以下内容：（i）具有李代数对称性的费米子和玻色子系统的各种嵌入系综及其扩展（对于马约拉纳费米子，具有点群对称性等）；（ii）这些系综针对混沌、热化和统计弛豫的各个方面所产生的结果，包括多体系综中厄米多项式的作用；以及（iii）对捕获玻色子系统能级涨落的数值和实验数据的分析，以及这些系统中统计弛豫和退相干的结果，这些结果与嵌入系综的结果密切相关。
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