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Asymptotics in Spin-Boson Type Models
Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
Links
- https://arxiv.org/pdf/1808.00085.pdf
Indsendt manuskript
DOI
- https://doi.org/10.1007/s00220-020-03685-5
Forlagets udgivne version
- Thomas Norman Dam ,
- Jacob Schach Møller
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.
| Originalsprog | Engelsk |
|---|---|
| Tidsskrift | Communications in Mathematical Physics |
| Vol/bind | 374 |
| Nummer | 3 |
| Sider (fra-til) | 1389-1415 |
| Antal sider | 27 |
| ISSN | 0010-3616 |
| DOI | |
| Status | Udgivet - 2020 |
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