TY - JOUR
T1 - Evolution of order and chaos across a first-order quantum phase transition
AU - Leviatan, A.
AU - Macek, M.
N1 - Funding Information: This work is supported by the Israel Science Foundation . M.M. acknowledges the Golda Meir Fellowship Fund and partial support by the Czech Ministry of Education ( MSM 0021620859 ).
PY - 2012/7/24
Y1 - 2012/7/24
N2 - We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.
AB - We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.
KW - Interacting boson model (IBM)
KW - Quantum shape-phase transitions
KW - Regularity and chaos
UR - http://www.scopus.com/inward/record.url?scp=84864016722&partnerID=8YFLogxK
U2 - https://doi.org/10.1016/j.physletb.2012.06.046
DO - https://doi.org/10.1016/j.physletb.2012.06.046
M3 - Article
SN - 0370-2693
VL - 714
SP - 110
EP - 114
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1
ER -