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arXiv · 1207.3496

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

M. Macek·A. Leviatan
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Abstract

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.

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M. Macek, A. Leviatan. 2012-07-15. Regular and chaotic classical dynamics in the U(5)-SU(3) quantum phase transition of the IBM. https://doi.org/10.1063/1.4759429

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