TY - JOUR
T1 - Interpolation between Poisson and Circular Unitary Ensembles for the Number Variance in Level Statistics
AU - Ma, Jian Zhong
AU - Hasegawa, Hiroshi
PY - 1995/7
Y1 - 1995/7
N2 - Using Gaudin's model (Nucl. Phys. 85 (1966) 545), we study the asymptotic behavior of the number variance of quantum levels whose statistics is subject to a one-parameter family of the predicted distributions which lie in the Poisson and the circular unitary ensembles. It is shown that the variance function Σ2(S) for S» 1 is a sum of a linear term and a logarithmic term, originating from the Poisson and the GUE (Gaussian unitary ensemble) results, respectively. The linearity of the leading term is attributed to Gaudin's treatment of the system as a compressible gas, thus verifying the prediction in a recent paper by Moshe, Neuberger and Shapiro (Phys. Rev. Lett. 73 (1994) 1497). a possibility of alternative treatment for incompressible gases is discussed.
AB - Using Gaudin's model (Nucl. Phys. 85 (1966) 545), we study the asymptotic behavior of the number variance of quantum levels whose statistics is subject to a one-parameter family of the predicted distributions which lie in the Poisson and the circular unitary ensembles. It is shown that the variance function Σ2(S) for S» 1 is a sum of a linear term and a logarithmic term, originating from the Poisson and the GUE (Gaussian unitary ensemble) results, respectively. The linearity of the leading term is attributed to Gaudin's treatment of the system as a compressible gas, thus verifying the prediction in a recent paper by Moshe, Neuberger and Shapiro (Phys. Rev. Lett. 73 (1994) 1497). a possibility of alternative treatment for incompressible gases is discussed.
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U2 - 10.1143/JPSJ.64.2261
DO - 10.1143/JPSJ.64.2261
M3 - Article
AN - SCOPUS:21844514814
SN - 0031-9015
VL - 64
SP - 2261
EP - 2265
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 7
ER -