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

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 Hénon-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.

preprint2012arXivOpen access
M. MacekA. Leviatan
nlin.CDnucl-thquant-ph
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M. MacekA. Leviatan

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