Separation of variables for integrable spin-boson models (Articolo in rivista)

Type
Label
  • Separation of variables for integrable spin-boson models (Articolo in rivista) (literal)
Anno
  • 2010-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.nuclphysb.2010.07.005 (literal)
Alternative label
  • AMICO L; HOLGER FRAHM; ANDREAS OSTERLOH; TOBIAS WIRTH (2010)
    Separation of variables for integrable spin-boson models
    in Nuclear physics. B (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • AMICO L; HOLGER FRAHM; ANDREAS OSTERLOH; TOBIAS WIRTH (literal)
Pagina inizio
  • 604 (literal)
Pagina fine
  • 626 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 839 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 24 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • [Amico] CNR IMM MATIS; Univ Catania, Dipartimento Metodol Fis & Chim DMFCI, I-95125 Catania, Italy [Osterloh] Univ Duisburg Essen, Fak Phys, D-47048 Duisburg, Germany [Frahm, Wirth] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany (literal)
Titolo
  • Separation of variables for integrable spin-boson models (literal)
Abstract
  • We formulate the functional Bethe ansatz for bosonic (infinite dimensional) representations of the Yang- Baxter algebra. The main deviation from the standard approach consists in a half infinite Sklyanin lattice made of the eigenvalues of the operator zeros of the Bethe annihilation operator. By a separation of vari- ables, functional TQ-equations are obtained for this half infinite lattice. They provide valuable information about the spectrum of a given Hamiltonian model. We apply this procedure to integrable spin-boson models subject to both twisted and open boundary conditions. In the case of general twisted and certain open bound- ary conditions polynomial solutions to these TQ-equations are found and we compute the spectrum of both the full transfer matrix and its quasi-classical limit. For generic open boundaries we present a two-parameter family of Bethe equations, derived from TQ-equations that are compatible with polynomial solutions for Q. A connection of these parameters to the boundary fields is still missing. (literal)
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