Strength functions for interacting bosons in a mean-field with random two-body interactions

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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 ; EGOE(1+2) ; Entropy ; Strength functions ; Occupancies
• 刊名：Physics Letters A
• 出版年：2004
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：May 31, 2004
• 卷：326
• 期：1-2
• 页码：47-54
• 文件大小：229 K

摘要

Strength functions have been studied numerically for dense interacting boson systems (with the example of 10 bosons in 5 single-particle states) using a Hamiltonian H, which is a sum of mean-field one-body H₁ and a random two-body interaction H₂ with strength λ. The strength functions F_ξ(E) (defined with respect to H₁ basis) changes gradually form Breit–Wigner (BW) to Gaussian form in the chaotic domain as λ increases. A function interpolating these two forms is shown to describe the intermediate region and to determine λ_F that marks the transition to Gaussian form. Also given is a complete analytical description of the variance of the strength function. The interpolating form for the strength function is used to study the variation of occupancy of single-particle states with excitation energy E.