• Ordered level spacing distribution in embedded random matrix ensembles

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    • 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.

    • Author Affiliations



      1. Department of Applied Physics, Faculty of Technology and Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390 001, India
      2. HVHP Institute of Post Graduate Studies and Research, Kadi Sarva Vishwavidyalaya, Gandhinagar 382 715, India
    • Dates

  • Pramana – Journal of Physics | News

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