• Distribution of level spacing ratios using one- plus two-body random matrix ensembles

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      https://www.ias.ac.in/article/fulltext/pram/084/02/0309-0316

    • Keywords

       

      Random matrix ensembles; embedded ensembles; EGOE(1+2); BEGOE(1+2); Poisson–GOE transition; spacing distribution.

    • Abstract

       

      Probability distribution (𝑃(𝑟)) of the level spacing ratios has been introduced recently and is used to investigate many-body localization as well as to quantify the distance from integrability on finite size lattices. In this paper, we study the distribution of the ratio of consecutive level spacings using one-body plus two-body random matrix ensembles for finite interacting many-fermion and many-boson systems. 𝑃(𝑟) for these ensembles move steadily from the Poisson to the Gaussian orthogonal ensemble (GOE) form as the two-body interaction strength 𝜆 is varied. Other related quantities are also used in the analysis to obtain critical strength 𝜆c for the transition. The 𝜆c values deduced using the 𝑃(𝑟) analysis are in good agreement with the results obtained using the nearest neighbour spacing distribution (NNSD) analysis.

    • Author Affiliations

       

      N D Chavda1

      1. Applied Physics Department, Faculty of Technology and Engineering, Maharaja Sayajirao University of Baroda, Vadodara 390 001, India
    • Dates

       
  • Pramana – Journal of Physics | News

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