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Ordered level spacing distribution in embedded random matrix ensembles
PRIYANKA RAO H N DEOTA N D CHAVDA
Research Article Volume 95 Published: 13 February 2021 Article ID 0034
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https://www.ias.ac.in/article/fulltext/pram/095/0034 -
Keywords
Level fluctuations ;spacing distribution ;finite interacting particle systems ;embedded ensembles. -
Abstract
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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Author Affiliations
PRIYANKA RAO1 H N DEOTA2 N D CHAVDA1
- Department of Applied Physics, Faculty of Technology and Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390 001, India
- HVHP Institute of Post Graduate Studies and Research, Kadi Sarva Vishwavidyalaya, Gandhinagar 382 715, India
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Dates
- Published
- 13 February 2021
- Manuscript received
- 2 July 2020
- Manuscript revised
- 29 September 2020
- Accepted
- 21 October 2020
- Final version published online
- 13 February 2021
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Pramana – Journal of Physics
Volume 97, 2023
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