Shape transition of state density for bosonic systems

Pramana

V Potbhare¹  Harshal N Deota¹  N D Chavda1¹ 

[1] Department of Applied Physics, Faculty of Technology and Engineering, M.S. University of Baroda, Vadodara 390 001, India$$

关键词: Random matrix ensembles;    interacting bosons;    Gaussian orthogonal ensemble;    bosonic embedded Gaussian orthogonal ensemble;    state density;    spacing distribution.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

For a finite 𝑚 boson system, the ensemble-averaged state density has been computed with respect to the body interaction rank 𝑘. The shape of such a state density changes from Gaussian to semicircle as the body rank of the interaction increases. This state density is expressed as a linear superposition of Gaussian and semicircular states. The nearest-neighbour spacing distribution (NNSD), which is one of the most important spectral properties of a system, is studied. The NNSDs are rather independent of body rank 𝑘 and show a Wigner distribution throughout.

【 授权许可】

Unknown