2013/05/25 by N. D. Chavda, V. K. B. Kota · 1 citation
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Distribution (mathematics) #Eigenvalues and eigenvectors #Fermion #Gaussian #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Particle (ecology) #Physics #Probability distribution #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Random matrix #Spin (aerodynamics) #Statistical physics #Statistics #Thermodynamics #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.1016/j.physleta.2013.09.013
7 pages, 10 figures
arxiv created 2013/05/25 · openalex publication_date 2013/09/20 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the probability distribution of the ratio of consecutive level spacings for embedded one plus two-body random matrix ensembles with and without spin degree of freedom and for both fermion and boson systems. The agreement between the numerical results and the recently derived analytic form for the distribution and other related quantities is found to be close. This establishes conclusively that local level fluctuations generated by embedded ensembles follow the results of classical Gaussian ensembles.