Aarhus University Seal / Aarhus Universitets segl

Asymptotics in Spin-Boson Type Models

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

DOI

In this paper, we investigate a family of models for a qubit interacting with a bosonic field. More precisely, we find asymptotic limits of the Hamiltonian as the interaction strength tends to infinity. The main result has two applications. First of all, we show that any self-energy renormalisation scheme similar to that of the Nelson model does not converge for the three-dimensional Spin-Boson model. Secondly, we show that excited states exist in the massive Spin-Boson model for sufficiently large interaction strengths. We are also able to compute the asymptotic limit of many physical quantities.

OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind374
Nummer3
Sider (fra-til)1389-1415
Antal sider27
ISSN0010-3616
DOI
StatusUdgivet - 2020

Se relationer på Aarhus Universitet Citationsformater

ID: 184520817