Eigenvalues correlations and the distribution of ground state angular momenta for random many-body quantum systems

Details Eigenvalues correlations and the distribution of ground state angular momenta for random many-body quantum systems Eigenvalues correlations and the distribution of ground state angular momenta for random many-body quantum systems

2008-11-08

arxiv.org/abs/0811.1240v2

Phys.Rev.C79:054302,2009

Physics

Nuclear Physics

Nuclear Theory

5 pages, 1 figure, 1 table, revised abstract, introduction and conclusions, accepted for publication in Physical Review C

Scientific paper

10.1103/PhysRevC.79.054302

The observed preponderance of ground states with angular momentum L=0 in many-body quantum systems with random two-body interactions is analyzed in terms of correlation coefficients (covariances) among different eigenstates. It is shown that the geometric analysis of Chau {\it et al.} can be interpreted in terms of correlations (covariances) between energy eigenvalues thus providing an entirely statistical explanation of the distribution of ground state angular momenta of randomly interacting quantum systems which, in principle, is valid for both fermionic and bosonic systems. The method is illustrated for the interacting boson model.

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