کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1859761 | 1037373 | 2014 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Poisson to GOE transition in the distribution of the ratio of consecutive level spacings Poisson to GOE transition in the distribution of the ratio of consecutive level spacings](/preview/png/1859761.png)
• Quantum chaos refers to GOE (Gaussian Orthogonal Ensemble) spectral fluctuations.
• Regular motion corresponds to Poisson level statistics.
• The ratio of successive spacing is studied for Poisson to GOE transition.
• Transition parameter is identified and universal transition curves are constructed.
• Application to a one-dimensional interacting spin-1/2 chain is presented.
Using an interpolating matrix ensemble with a parameter λ giving Poisson (λ=0λ=0) to GOE (λ→∞λ→∞) transition, average of the ratio (r ) of consecutive level spacings has been analyzed numerically using matrices with dimension d≤1000d≤1000. Established by this analysis are (i) the transition parameter Λ∼λ2dΛ∼λ2d giving scaling, (ii) the universal form for the transition curves 〈r〉〈r〉, 〈r˜〉 vs. Λ ; r˜=min(r,1/r), and (iii) a mapping between d×dd×d and 3×33×3 matrix ensembles. Example for the transition curves from a one-dimensional (1D) interacting spin-1/2 chain is presented.
Journal: Physics Letters A - Volume 378, Issue 41, 22 August 2014, Pages 3012–3017