English

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

Nuclear Theory 2015-03-13 v2 Chaotic Dynamics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1201.6632,
  title  = {Evolution of order and chaos across a first-order quantum phase transition},
  author = {A. Leviatan and M. Macek},
  journal= {arXiv preprint arXiv:1201.6632},
  year   = {2015}
}

Comments

5 pages, 4 figures, Physics Letters B, in press. Higher quality (larger size) figures can be obtained from http://www-ucjf.troja.mff.cuni.cz/~geometric/PLB-Figs2-3.zip