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arXiv · 1105.5050

Regularity and chaos at critical points of first-order quantum phase transitions

M. Macek·A. Leviatan
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Abstract

We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A classical analysis reveals a distinct behavior of the coexisting phases in a broad energy range. The dynamics is completely regular in the deformed phase and, simultaneously, strongly chaotic in the spherical phase. A quantum analysis of the spectra separates the regular states from the irregular ones, assigns them to particular phases, and discloses persisting regular rotational bands in the deformed region.

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M. Macek, A. Leviatan. 2011-05-25. Regularity and chaos at critical points of first-order quantum phase transitions. https://doi.org/10.1103/physrevc.84.041302

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