Physics – Quantum Physics
Scientific paper
2007-07-03
Ann. Phys. (N.Y.) 323, 1106 (2008)
Physics
Quantum Physics
LaTeX (elsart), 37 pages; to be published in Ann. Phys. (N.Y.)
Scientific paper
10.1016/j.aop.2007.06.011
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.
Caprio M. A.
Cejnar Pavel
Iachello Francesco
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