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

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 Henon-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.

Authors:
;  [1]
  1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)
Publication Date:
OSTI Identifier:
22075599
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1491; Journal Issue: 1; Conference: Conference on nuclear structure and dynamics 2012, Opatija (Croatia), 9-13 Jul 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHAOS THEORY; DEFORMED NUCLEI; NUCLEAR POTENTIAL; NUCLEAR STRUCTURE; PHASE TRANSFORMATIONS; ROTATIONAL STATES; SPHERICAL CONFIGURATION; THERMODYNAMICS

Citation Formats

Leviatan, A., and Macek, M. Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei. United States: N. p., 2012. Web. doi:10.1063/1.4764230.
Leviatan, A., & Macek, M. Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei. United States. doi:10.1063/1.4764230.
Leviatan, A., and Macek, M. Sat . "Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei". United States. doi:10.1063/1.4764230.
@article{osti_22075599,
title = {Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei},
author = {Leviatan, A. and Macek, M.},
abstractNote = {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 Henon-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.},
doi = {10.1063/1.4764230},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1491,
place = {United States},
year = {2012},
month = {10}
}