Lower Spectral Branches of a Spin-Boson Model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2008

Lower Spectral Branches of a Spin-Boson Model

Résumé

We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive constant. We show that, for small coupling constant, the lower part of the spectrum of the spin-boson Hamiltonian contains (one or two) isolated eigenvalues and (respectively, one or two) manifolds of atom $+ \ 1$-boson states indexed by the boson momentum $q$. The dispersion laws and generalized eigenfunctions of the latter are calculated.
Fichier principal
Vignette du fichier
Amrz-JMP-07-0355R.pdf (396.56 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00143558 , version 1 (25-04-2007)
hal-00143558 , version 2 (28-10-2008)

Identifiants

Citer

Nicolae Angelescu, Robert Minlos, Jean Ruiz, Valentin Zagrebnov. Lower Spectral Branches of a Spin-Boson Model. Journal of Mathematical Physics, 2008, 49, pp.102105. ⟨10.1063/1.2987721⟩. ⟨hal-00143558v2⟩
341 Consultations
140 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More