Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
Abstract
We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical) and SU(3) (deformed) limits. A classical analysis reveals regular (chaotic) dynamics at low (higher) energy in the spherical region, coexisting with a robustly regular dynamics in the deformed region. A quantum analysis discloses, amidst a complicated environment, persisting regular multiplets of states associated with partial U(5) and quasi SU(3) dynamical symmetries.
Keywords
Cite
@article{arxiv.1401.2097,
title = {Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition},
author = {A. Leviatan and M. Macek},
journal= {arXiv preprint arXiv:1401.2097},
year = {2014}
}
Comments
16 pages, 7 figures, talk at Symposium "Symmetries in Science XVI", July 21 - 26, 2013, Bregenz, Austria. Higher quality (larger size) figures can be obtained from http://www-ucjf.troja.mff.cuni.cz/~geometric/Figs2-3-4_HighRes.zip