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Title: Quantum phase transitions in Bose-Fermi systems

Abstract

Research Highlights: > We study quantum phase transitions in a system of N bosons and a single-j fermion. > Classical order parameters and correlation diagrams of quantum levels are determined. > The odd fermion strongly influences the location and nature of the phase transition. > Experimental evidence for the U(5)-SU(3) transition in odd-even nuclei is presented. - Abstract: Quantum phase transitions in a system of N bosons with angular momentum L = 0, 2 (s, d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.

Authors:
 [1];  [2];  [1]
  1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, CT 06520-8120 (United States)
  2. Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)
Publication Date:
OSTI Identifier:
21579875
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 326; Journal Issue: 4; Other Information: DOI: 10.1016/j.aop.2010.12.001; PII: S0003-4916(10)00215-0; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; BOSONS; CORRELATIONS; FERMIONS; INTERACTING BOSON MODEL; ODD-EVEN NUCLEI; ORDER PARAMETERS; PHASE TRANSFORMATIONS; SPHERICAL CONFIGURATION; CONFIGURATION; DIMENSIONLESS NUMBERS; MATHEMATICAL MODELS; NUCLEAR MODELS; NUCLEI; SHELL MODELS

Citation Formats

Petrellis, D, Leviatan, A, and Iachello, F. Quantum phase transitions in Bose-Fermi systems. United States: N. p., 2011. Web. doi:10.1016/j.aop.2010.12.001.
Petrellis, D, Leviatan, A, & Iachello, F. Quantum phase transitions in Bose-Fermi systems. United States. https://doi.org/10.1016/j.aop.2010.12.001
Petrellis, D, Leviatan, A, and Iachello, F. 2011. "Quantum phase transitions in Bose-Fermi systems". United States. https://doi.org/10.1016/j.aop.2010.12.001.
@article{osti_21579875,
title = {Quantum phase transitions in Bose-Fermi systems},
author = {Petrellis, D and Leviatan, A and Iachello, F},
abstractNote = {Research Highlights: > We study quantum phase transitions in a system of N bosons and a single-j fermion. > Classical order parameters and correlation diagrams of quantum levels are determined. > The odd fermion strongly influences the location and nature of the phase transition. > Experimental evidence for the U(5)-SU(3) transition in odd-even nuclei is presented. - Abstract: Quantum phase transitions in a system of N bosons with angular momentum L = 0, 2 (s, d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.},
doi = {10.1016/j.aop.2010.12.001},
url = {https://www.osti.gov/biblio/21579875}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 4,
volume = 326,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2011},
month = {Fri Apr 15 00:00:00 EDT 2011}
}