1207.3496 (M. Macek et al.)

Regular and chaotic classical dynamics in the U(5)-SU(3) quantum phase
transition of the IBM    [PDF]

M. Macek, A. Leviatan

We study the classical dynamics in a generic first-order quantum phase transition between the U(5) and SU(3) limits of the interacting boson model. The dynamics is chaotic, of H\'enon-Heiles type, in the spherical phase and is regular, yet sensitive to local degeneracies, in the deformed phase. Both types of dynamics persist in the coexistence region resulting in a divided phase space.

View original: http://arxiv.org/abs/1207.3496