Integrable spin-boson models descending from rational six-vertex models (Articolo in rivista)

Type
Label
  • Integrable spin-boson models descending from rational six-vertex models (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Alternative label
  • Amico, L; Frahm, H; Osterloh, A; Ribeiro, GAP (2007)
    Integrable spin-boson models descending from rational six-vertex models
    in Nuclear physics. B (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Amico, L; Frahm, H; Osterloh, A; Ribeiro, GAP (literal)
Pagina inizio
  • 283 (literal)
Pagina fine
  • 300 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 787 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Catania, Ist Nazl Fis Nucl, MATIS, DMFCI, I-95125 Catania, Italy; Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany; Univ Wuppertal, D-42097 Wuppertal, Germany; Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP, Brazil (literal)
Titolo
  • Integrable spin-boson models descending from rational six-vertex models (literal)
Abstract
  • We construct commuting transfer matrices for models describing the interaction between a single quantum spin and a single bosonic mode using the quantum inverse scattering framework. The transfer matrices are obtained from certain inhomogeneous rational vertex models combining bosonic and spin representations of SU(2), subject to non-diagonal toroidal and open boundary conditions. Only open boundary conditions are found to lead to integrable Hamiltonians combining both rotating and counter-rotating terms in the interaction. If the boundary matrices can be brought to triangular form simultaneously, the spectrum of the model can be obtained by means of the algebraic Bethe ansatz after a suitable gauge transformation; the corresponding Hamiltonians are found to be non-Hermitian. Alternatively, a certain quasi-classical limit of the transfer matrix is considered where Hermitian Hamiltonians are obtained as members of a family of commuting operators; their diagonalization, however, remains an unsolved problem. (C) 2007 Elsevier B.V. All rights reserved. (literal)
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