# Spin boson model and quantum Rabi model

Fumio Hiroshima
(Kyushu University)
Mat/Fys-seminar
Onsdag, 7 december, 2016, at 15:15-16:00, in Aud. G1 (1532-116)
Abstrakt:
We talk about the spin-boson model and its one-mode version the "Rabi-model".  Both describe a two level atom linearly interacting with photons.

By the eigenvalues of the Rabi Hamiltonian,  we can define the spectral zeta function which is indexed by the coupling constant $g$ of the Rabi Hamiltonian. We discuss the asymptotic behavior of the spectral zeta function as $g$ goes to infinity.  For the spin-boson model we discuss the properties of ground state by path measures, and a van Hove representation is given.
Kontaktperson: Jacob Schach Møller