TY - JOUR
T1 - Regularity and chaos at critical points of first-order quantum phase transitions
AU - MacEk, M.
AU - Leviatan, A.
PY - 2011/10/10
Y1 - 2011/10/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=80055049596&partnerID=8YFLogxK
U2 - 10.1103/PhysRevC.84.041302
DO - 10.1103/PhysRevC.84.041302
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AN - SCOPUS:80055049596
SN - 0556-2813
VL - 84
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
IS - 4
M1 - 041302
ER -