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

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

2011-05-25

arxiv.org/abs/1105.5050v2

Journal-ref: Phys. Rev. C 84 (2011) 041302(R)

Physics

Nuclear Physics

Nuclear Theory

5 pages, 3 figures, published version, Phys. Rev. C

Scientific paper

10.1103/PhysRevC.84.041302

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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