2021/02/13 by Priyanka Rao, H. N. Deota, H N Deota +2 · 2 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Consistency (knowledge bases) #Degrees of freedom (physics and chemistry) #Distribution (mathematics) #Gaussian #Gaussian random field #Matrix (chemical analysis) #Probability distribution #Quantum many-body systems #Random Matrices and Applications #Random matrix #cond-mat.stat-mech
paper · pdf · doi:10.1007/s12043-020-02066-w
published in Pramana 95(1) · 8 pages, 4 figures, 2 tables
openalex publication_date 2021/02/13 · arxiv created 2021/03/13 · arxiv updated 2021/03/16 · openalex created_date 2021/03/29 · openalex updated_date 2026/08/05
The probability distribution of the closest neighbor and farther neighbor spacings from a given level have been studied for interacting fermion/boson systems with and without spin degree of freedom constructed using an embedded GOE of one plus random two-body interactions. Our numerical results demonstrate a very good consistency with the recently derived analytical expressions using a 3 × 3 random matrix model and other related quantities by Srivastava et. al [\it J. Phys. A: Math. Theor. \bf 52 025101 (2019)]. This establishes conclusively that local level fluctuations generated by embedded ensembles (EE) follow the results of classical Gaussian ensembles.