Articles written in Pramana – Journal of Physics
Volume 95 All articles Published: 13 February 2021 Article ID 0034 Research Article
Ordered level spacing distribution in embedded random matrix ensembles
PRIYANKA RAO H N DEOTA N D CHAVDA
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 3 × 3 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.
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