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Excited-state quantum phase transitions in the two-spin elliptic Gaudin model

AuthorsRelaño, Armando; Esebbag, C.; Dukelsky, Jorge CSIC ORCID
Issue Date4-Nov-2016
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 94: 052110 (2016)
AbstractWe study the integrability of the two-spin elliptic Gaudin model for arbitrary values of the Hamiltonian parameters. The limit of a very large spin coupled to a small one is well described by a semiclassical approximation with just one degree of freedom. Its spectrum is divided into bands that do not overlap if certain conditions are fulfilled. In spite of the fact that there are no quantum phase transitions in each of the band heads, the bands show excited-state quantum phase transitions separating a region in which the parity symmetry is broken from another region in which time-reversal symmetry is broken. We derive analytical expressions for the critical energies in the semiclassical approximation, and confirm the results by means of exact diagonalizations for large systems. ©2016 American Physical Society
Description10 págs.; 7 figs.
Publisher version (URL)https://doi.org/10.1103/PhysRevE.94.052110
Identifiersdoi: 10.1103/PhysRevE.94.052110
issn: 1550-2376
Appears in Collections:(CFMAC-IEM) Artículos
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