Evolution of order and chaos across a first-order quantum phase transition

A. Leviatan*, M. Macek

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageAmerican English
Pages (from-to)110-114
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1
StatePublished - 24 Jul 2012

Bibliographical note

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 ).


  • Interacting boson model (IBM)
  • Quantum shape-phase transitions
  • Regularity and chaos


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