Statistical properties of dense interacting boson systems with one- plus two-body random matrix ensembles

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• 作者：Chavda ; N.D. ; Potbhare ; V. ; Kota ; V.K.B.
• 关键词：05.40 ; 05.30.Jp ; 05.45.-a ; Interacting bosons ; Dense limit ; Entropy ; EGOE(1+2) ; Number of principal components
• 刊名：Physics Letters A
• 出版年：2003
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：May 19, 2003
• 卷：311
• 期：4-5
• 页码：331-339
• 文件大小：227 K

摘要

Statistical properties like nearest neighbor spacing distribution (NNSD), number of principal components (NPC), information entropy (S^info) and number entropy (S^occu) have been studied for interacting boson systems using one-body (H₁) and an embedded GOE of two-body (H₂) interactions. The NNSD for the bosonic ensembles moves steadily from Poisson to Wigner form as the 2-body interaction strength λ in the H=H₁+λH₂ is varied. Critical strength λ_C for the transition, agrees with Jacquad and Shepelyansky criterion. For NPC, S^info and S^occu, there is another transition point λ_F, as in fermionic ensembles. Bosonic ensembles in the dense limit tend to be ergodic with increasing the number of single-particle states.