On the interplay between symmetry breaking, integrability, and chaos in the semiclassical limit of the Heisenberg system.
In this work we present a detailed numerical analysis of the interplay between symmetry breaking, integrability, and chaos in the two- and three-spin Heisenberg models. The results suggest that a very simple and powerful tool to convey such information are the plots of the energy level spacings Delta(n) versus the energy level index n, together with the correlation plots Delta(n+1)xDelta(n). When integrability is broken, these plots are shown to identify very sharply an energy below which one has chaotic behavior. The particularly strong point in favor of such analysis is that it can be useful in partially chaotic regimes. (c) 1995 American Institute of Physics.
Pellegrino
G. Q.
GQ
Instituto de Fisica "Gleb Wataghin," Universidade Estadual de Campinas, UNICAMP, 13083-970, Campinas, Sao Paulo, BrazilDepartamento de Fisica, Instituto de Cie ncias Exatas, Universidade Federal de Minas Gerais, 31270-901, Belo Horizonte, Minas Gerais, Brazil.
Furuya
K.
K
Nemes
M. C.
MC