{"title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","citation":{"mla":"Hinrichs, Benjamin, et al. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” <i>ArXiv:2502.04876</i>, 2025.","ieee":"B. Hinrichs, J. Lampart, and J. Valentín Martín, “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions,” <i>arXiv:2502.04876</i>. 2025.","bibtex":"@article{Hinrichs_Lampart_Valentín Martín_2025, title={Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions}, journal={arXiv:2502.04876}, author={Hinrichs, Benjamin and Lampart, Jonas and Valentín Martín, Javier}, year={2025} }","ama":"Hinrichs B, Lampart J, Valentín Martín J. Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. <i>arXiv:250204876</i>. Published online 2025.","short":"B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).","chicago":"Hinrichs, Benjamin, Jonas Lampart, and Javier Valentín Martín. “Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.” <i>ArXiv:2502.04876</i>, 2025.","apa":"Hinrichs, B., Lampart, J., &#38; Valentín Martín, J. (2025). Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions. In <i>arXiv:2502.04876</i>."},"_id":"63644","year":"2025","external_id":{"arxiv":["2502.04876"]},"user_id":"99427","publication":"arXiv:2502.04876","author":[{"id":"99427","first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin"},{"first_name":"Jonas","last_name":"Lampart","full_name":"Lampart, Jonas"},{"first_name":"Javier","full_name":"Valentín Martín, Javier","last_name":"Valentín Martín"}],"status":"public","department":[{"_id":"799"}],"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or its rotating-wave approximation. If the state change of the system upon emission or absorption of a boson is either given by a normal matrix or by a 2-nilpotent one, which is the case for the previously named examples, we prove an optimal renormalization result. We complement it, by proving the norm resolvent convergence of appropriately regularized models to the renormalized one. Our method consists of a dressing transformation argument in the normal case and an appropriate interior boundary condition for the 2-nilpotent case."}],"date_created":"2026-01-16T08:58:25Z","date_updated":"2026-01-16T08:59:03Z","type":"preprint","project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}]}