Ordered level spacing distribution in embedded random matrix ensembles

被引：1

作者：

Rao, Priyanka ^{[1
]}

Deota, H. N. ^{[2
]}

Chavda, N. D. ^{[1
]}

机构：

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

[2] Kadi Sarva Vishwavidyalaya, HVHP Inst Post Grad Studies & Res, Gandhinagar 382715, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2021年 / 95卷 / 01期

关键词：

Level fluctuations; spacing distribution; finite interacting particle systems; embedded ensembles; 05; 40; -a; 45; Mt; 30; Fk; Jp; CHAOS; VARIANCE; SPECTRUM; PHYSICS; RATIOS; SPIN;

D O I：

10.1007/s12043-020-02066-w

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The probability distributions of the closest neighbour (CN) and farther neighbour (FN) spacings from a given level have been studied for interacting fermion/boson systems with and without spin degree of freedom constructed using an embedded Gaussian orthogonal ensemble (GOE) of one plus random two-body interactions. Our numerical results demonstrate a very good consistency with the recently derived analytical expressions using a 3x3 random matrix model and other related quantities by Srivastava et al, J. Phys. A: Math. Theor.52, 025101 (2019). This establishes conclusively that local level fluctuations generated by embedded ensembles (EE) follow the results of classical Gaussian ensembles.

引用

页数：8

共 43 条

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