Dresden 2006 – scientific programme
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TT: Tiefe Temperaturen
TT 12: Correlated Electrons: Low-dimensional Systems - Models
TT 12.11: Talk
Tuesday, March 28, 2006, 12:15–12:30, HSZ 304
Integrable spin-boson models including counter-rotating terms — •Andreas Osterloh1, Holger Frahm1, and Luigi Amico2 — 1Institut für theoretische Physik, Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany. — 2MATIS-INFM & Dipartimento di Metodologie Fisiche e Chimiche (DMFCI), Universita’ di Catania, viale A. Doria 6, I-95125 Catania, Italy
We study interacting spin-boson models related to integrable XXX spin-chains with generic open boundary conditions. We particularly focus on spin-boson interactions which contain rotating as well as counter-rotating terms. Models with either rotating or counter-rotating terms are termed (generalized) Jaynes-Cummings and Tavis-Cummings models, respectively, and they are known to be integrable. Those cases where the algebraic Bethe ansatz can be done after a static gauge transformation are demonstrated to have a conserved particle number and hence belong to the former class of models. In order to overcome this restriction, dynamic gauge transformations are taken into account. The resulting Hamiltonian is obtained and diagonalized by means of the algebraic Bethe ansatz. The Bethe equations are presented and discussed.