English

Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei

Nuclear Theory 2013-04-19 v1 Chaotic Dynamics Quantum Physics

Abstract

We study the nature of the dynamics in a first-order quantum phase transition between spherical and prolate-deformed nuclear shapes. Classical and quantum analyses reveal a change in the system from a chaotic H\'enon-Heiles behavior on the spherical side into a pronounced regular dynamics on the deformed side. Both order and chaos persist in the coexistence region and their interplay reflects the Landau potential landscape and the impact of collective rotations.

Keywords

Cite

@article{arxiv.1209.2921,
  title  = {Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei},
  author = {A. Leviatan and M. Macek},
  journal= {arXiv preprint arXiv:1209.2921},
  year   = {2013}
}

Comments

4 pages, 2 figures, Proc. Int. Conf. on "Nuclear Structure and Dynamics II", July 9-13, 2012, Opatija, Croatia. Higher quality (larger size) figures can be obtained from http://www-ucjf.troja.mff.cuni.cz/~geometric/PLB-Figs2-3.zip