Excited state quantum phase transitions in many-body systems

Journal Article · Thu May 15 00:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2007.06.011· OSTI ID:21163687

Cejnar, P ^[1]; Iachello, F ^[2]

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1. Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, 180 00 Praha (Czech Republic)
2. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, CT 06520-8120 (United States)

Phenomena analogous to ground state quantum phase transitions have recently been noted to occur among states throughout the excitation spectra of certain many-body models. These excited state phase transitions are manifested as simultaneous singularities in the eigenvalue spectrum (including the gap or level density), order parameters, and wave function properties. In this article, the characteristics of excited state quantum phase transitions are investigated. The finite-size scaling behavior is determined at the mean-field level. It is found that excited state quantum phase transitions are universal to two-level bosonic and fermionic models with pairing interactions.

• OSTI ID: 21163687
• Journal Information: Annals of Physics (New York), Vol. 323, Issue 5; Other Information: DOI: 10.1016/j.aop.2007.06.011; PII: S0003-4916(07)00104-2; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENVALUES
ENERGY-LEVEL DENSITY
EXCITATION
EXCITED STATES
FERMIONS
GROUND STATES
MANY-BODY PROBLEM
MEAN-FIELD THEORY
ORDER PARAMETERS
PAIRING INTERACTIONS
PHASE TRANSFORMATIONS
SINGULARITY
SPECTRA
WAVE FUNCTIONS