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Eimer, L. Schäpermeier, A. Biedenkapp, A. Tornede, L. Kotthoff, P. Leyman, M. Feurer, K. Eggensperger, K. Maile, T. Tornede, A. Kozak, K. Xue, M.D. Wever, M. Baratchi, D. Pulatov, H. Trautmann, H. Kashgarani, M. Lindauer, Best Practices For Empirical Meta-Algorithmic Research: Guidelines from the COSEAL Research Network, 2025.","mla":"Eimer, Theresa, et al. <i>Best Practices For Empirical Meta-Algorithmic Research: Guidelines from the COSEAL Research Network</i>. 2025, doi:<a href=\"https://doi.org/DOI:10.48550/arXiv.2512.16491\">DOI:10.48550/arXiv.2512.16491</a>.","apa":"Eimer, T., Schäpermeier, L., Biedenkapp, A., Tornede, A., Kotthoff, L., Leyman, P., Feurer, M., Eggensperger, K., Maile, K., Tornede, T., Kozak, A., Xue, K., Wever, M. D., Baratchi, M., Pulatov, D., Trautmann, H., Kashgarani, H., &#38; Lindauer, M. (2025). <i>Best Practices For Empirical Meta-Algorithmic Research: Guidelines from the COSEAL Research Network</i>. <a href=\"https://doi.org/DOI:10.48550/arXiv.2512.16491\">https://doi.org/DOI:10.48550/arXiv.2512.16491</a>","chicago":"Eimer, Theresa, Lennart Schäpermeier, André Biedenkapp, Alexander Tornede, Lars Kotthoff, Pieter Leyman, Matthias Feurer, et al. <i>Best Practices For Empirical Meta-Algorithmic Research: Guidelines from the COSEAL Research Network</i>, 2025. <a href=\"https://doi.org/DOI:10.48550/arXiv.2512.16491\">https://doi.org/DOI:10.48550/arXiv.2512.16491</a>.","ieee":"T. 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A VR End-User Development Toolbox for Media Study Students - An Initial Experience Report. <i>10th International Symposium on End-User Development (IS-EUD 2025) </i>.","bibtex":"@inproceedings{Krois_Scharke_Yigitbas_Oevel_2025, title={A VR End-User Development Toolbox for Media Study Students - An Initial Experience Report}, booktitle={10th International Symposium on End-User Development (IS-EUD 2025) }, author={Krois, Sebastian  and Scharke, Kevin and Yigitbas, Enes and Oevel, Gudrun}, year={2025} }","mla":"Krois, Sebastian, et al. “A VR End-User Development Toolbox for Media Study Students - An Initial Experience Report.” <i>10th International Symposium on End-User Development (IS-EUD 2025) </i>, 2025.","short":"S. Krois, K. Scharke, E. Yigitbas, G. 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Sloane, J. Heidebrecht, T. Jenert, in: T. van Treeck, B. Sczcyrba, R. Hochmuth, N. Schaper, S. Heuchemer (Eds.), Prototyp Zukunft: Lösungen Für Transformative Lehre Im Modus Des Scholarship, 2025.","bibtex":"@inbook{Sloane_Heidebrecht_Jenert_2025, series={Forschung und Innovation in der Hochschulbildung}, title={Fachsensible wissenschaftliche Begleitung}, DOI={<a href=\"https://doi.org/10.57684/COS-1314\">10.57684/COS-1314</a>}, booktitle={Prototyp Zukunft: Lösungen für transformative Lehre im Modus des Scholarship}, author={Sloane, Hannah Sabrina and Heidebrecht, Jana and Jenert, Tobias}, editor={van Treeck, Timo and Sczcyrba, Birgit and Hochmuth, Reinhard and Schaper, Niclas and Heuchemer, Sylvia}, year={2025}, collection={Forschung und Innovation in der Hochschulbildung} }","apa":"Sloane, H. S., Heidebrecht, J., &#38; Jenert, T. (2025). Fachsensible wissenschaftliche Begleitung. In T. van Treeck, B. Sczcyrba, R. Hochmuth, N. Schaper, &#38; S. Heuchemer (Eds.), <i>Prototyp Zukunft: Lösungen für transformative Lehre im Modus des Scholarship</i>. <a href=\"https://doi.org/10.57684/COS-1314\">https://doi.org/10.57684/COS-1314</a>","ama":"Sloane HS, Heidebrecht J, Jenert T. Fachsensible wissenschaftliche Begleitung. In: van Treeck T, Sczcyrba B, Hochmuth R, Schaper N, Heuchemer S, eds. <i>Prototyp Zukunft: Lösungen Für Transformative Lehre Im Modus Des Scholarship</i>. Forschung und Innovation in der Hochschulbildung. ; 2025. doi:<a href=\"https://doi.org/10.57684/COS-1314\">10.57684/COS-1314</a>","chicago":"Sloane, Hannah Sabrina, Jana Heidebrecht, and Tobias Jenert. “Fachsensible Wissenschaftliche Begleitung.” In <i>Prototyp Zukunft: Lösungen Für Transformative Lehre Im Modus Des Scholarship</i>, edited by Timo van Treeck, Birgit Sczcyrba, Reinhard Hochmuth, Niclas Schaper, and Sylvia Heuchemer. Forschung Und Innovation in Der Hochschulbildung, 2025. <a href=\"https://doi.org/10.57684/COS-1314\">https://doi.org/10.57684/COS-1314</a>.","ieee":"H. S. Sloane, J. Heidebrecht, and T. Jenert, “Fachsensible wissenschaftliche Begleitung,” in <i>Prototyp Zukunft: Lösungen für transformative Lehre im Modus des Scholarship</i>, T. van Treeck, B. Sczcyrba, R. Hochmuth, N. Schaper, and S. Heuchemer, Eds. 2025."},"year":"2025","doi":"10.57684/COS-1314","title":"Fachsensible wissenschaftliche Begleitung","date_created":"2025-12-03T09:10:27Z","author":[{"first_name":"Hannah Sabrina","last_name":"Sloane","full_name":"Sloane, Hannah Sabrina","id":"48206"},{"full_name":"Heidebrecht, Jana","last_name":"Heidebrecht","first_name":"Jana"},{"first_name":"Tobias","last_name":"Jenert","orcid":" https://orcid.org/0000-0001-9262-5646","id":"71994","full_name":"Jenert, Tobias"}],"date_updated":"2026-01-16T08:36:45Z"},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2309.09005"]},"abstract":[{"lang":"eng","text":"In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian."}],"publication":"Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'","title":"Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions","date_created":"2023-10-02T06:21:37Z","year":"2025","issue":"3","project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"_id":"47534","user_id":"99427","series_title":"RIMS Kôkyûroku","department":[{"_id":"799"},{"_id":"623"}],"editor":[{"first_name":"Fumio","last_name":"Hiroshima","full_name":"Hiroshima, Fumio"}],"status":"public","type":"conference","main_file_link":[{"url":"https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2310.html"}],"date_updated":"2026-01-16T08:55:19Z","author":[{"first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs"},{"first_name":"Oliver","last_name":"Matte","full_name":"Matte, Oliver"}],"volume":2310,"citation":{"chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” In <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> edited by Fumio Hiroshima, Vol. 2310. RIMS Kôkyûroku, 2025.","ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions,” in <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> 2025, vol. 2310, no. 3.","ama":"Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In: Hiroshima F, ed. <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics.”</i> Vol 2310. RIMS Kôkyûroku. ; 2025.","bibtex":"@inproceedings{Hinrichs_Matte_2025, series={RIMS Kôkyûroku}, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions}, volume={2310}, number={3}, booktitle={Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics”}, author={Hinrichs, Benjamin and Matte, Oliver}, editor={Hiroshima, Fumio}, year={2025}, collection={RIMS Kôkyûroku} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson  Model in Two Spatial Dimensions.” <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”</i> edited by Fumio Hiroshima, vol. 2310, no. 3, 2025.","short":"B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025.","apa":"Hinrichs, B., &#38; Matte, O. (2025). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson  model in two spatial dimensions. In F. Hiroshima (Ed.), <i>Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics”</i> (Vol. 2310, Issue 3)."},"intvolume":"      2310"},{"citation":{"apa":"Betz, V., Hinrichs, B., Kraft, M. N., &#38; Polzer, S. (2025). On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. In <i>arXiv:2501.19362</i>.","bibtex":"@article{Betz_Hinrichs_Kraft_Polzer_2025, title={On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model}, journal={arXiv:2501.19362}, author={Betz, Volker and Hinrichs, Benjamin and Kraft, Mino Nicola and Polzer, Steffen}, year={2025} }","short":"V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).","mla":"Betz, Volker, et al. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” <i>ArXiv:2501.19362</i>, 2025.","ieee":"V. Betz, B. Hinrichs, M. N. Kraft, and S. Polzer, “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model,” <i>arXiv:2501.19362</i>. 2025.","chicago":"Betz, Volker, Benjamin Hinrichs, Mino Nicola Kraft, and Steffen Polzer. “On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” <i>ArXiv:2501.19362</i>, 2025.","ama":"Betz V, Hinrichs B, Kraft MN, Polzer S. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model. <i>arXiv:250119362</i>. Published online 2025."},"year":"2025","title":"On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model","date_created":"2026-01-16T08:56:45Z","author":[{"first_name":"Volker","last_name":"Betz","full_name":"Betz, Volker"},{"first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205"},{"first_name":"Mino Nicola","full_name":"Kraft, Mino Nicola","last_name":"Kraft"},{"last_name":"Polzer","full_name":"Polzer, Steffen","first_name":"Steffen"}],"date_updated":"2026-01-16T08:57:21Z","status":"public","abstract":[{"text":"We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dimensional continuum Ising model, i.e., to showing that the respective two point function is lower bounded by a strictly positive constant. We can then use known results from percolation theory to establish long range order at large coupling. Combined with the known existence of ground states at small coupling, our result proves that the spin boson model undergoes a phase transition with respect to the coupling strength. We also present an expansion for the vacuum overlap of the spin boson ground state in terms of the Ising $n$-point functions, which implies that the phase transition is unique, i.e., that there is a critical coupling constant below which a ground state exists and above which none can exist.","lang":"eng"}],"type":"preprint","publication":"arXiv:2501.19362","language":[{"iso":"eng"}],"user_id":"99427","department":[{"_id":"799"}],"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"external_id":{"arxiv":["2501.19362"]},"_id":"63642"},{"language":[{"iso":"eng"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"_id":"63644","external_id":{"arxiv":["2502.04876"]},"user_id":"99427","department":[{"_id":"799"}],"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."}],"status":"public","type":"preprint","publication":"arXiv:2502.04876","title":"Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions","date_updated":"2026-01-16T08:59:03Z","date_created":"2026-01-16T08:58:25Z","author":[{"first_name":"Benjamin","full_name":"Hinrichs, Benjamin","id":"99427","orcid":"0000-0001-9074-1205","last_name":"Hinrichs"},{"last_name":"Lampart","full_name":"Lampart, Jonas","first_name":"Jonas"},{"last_name":"Valentín Martín","full_name":"Valentín Martín, Javier","first_name":"Javier"}],"year":"2025","citation":{"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>.","short":"B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).","mla":"Hinrichs, Benjamin, et al. “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} }","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.","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.","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."}},{"publication":"arXiv:2505.19977","type":"preprint","abstract":[{"text":"In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the study of a special class of ground states of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization that makes use of a non-unitary dressing transformation. The two approaches are proved to yield equivalent results.","lang":"eng"}],"status":"public","_id":"63643","external_id":{"arxiv":["2505.19977"]},"department":[{"_id":"799"}],"user_id":"99427","language":[{"iso":"eng"}],"year":"2025","citation":{"short":"M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).","mla":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” <i>ArXiv:2505.19977</i>, 2025.","bibtex":"@article{Falconi_Hinrichs_2025, title={Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach}, journal={arXiv:2505.19977}, author={Falconi, Marco and Hinrichs, Benjamin}, year={2025} }","apa":"Falconi, M., &#38; Hinrichs, B. (2025). Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In <i>arXiv:2505.19977</i>.","ieee":"M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach,” <i>arXiv:2505.19977</i>. 2025.","chicago":"Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” <i>ArXiv:2505.19977</i>, 2025.","ama":"Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. <i>arXiv:250519977</i>. Published online 2025."},"date_updated":"2026-01-16T08:58:12Z","date_created":"2026-01-16T08:57:34Z","author":[{"first_name":"Marco","last_name":"Falconi","full_name":"Falconi, Marco"},{"full_name":"Hinrichs, Benjamin","id":"99427","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","first_name":"Benjamin"}],"title":"Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach"},{"abstract":[{"lang":"eng","text":"In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed through both a self-energy and mass renormalization, in the so-called Hamiltonian formalism of constructive quantum field theory, implemented by a non-unitary dressing transformation. This solves the problem of triviality for unitarily-renormalized supercritical spin-boson models."}],"status":"public","publication":"arXiv:2508.00805","type":"preprint","language":[{"iso":"eng"}],"_id":"63645","external_id":{"arxiv":["2508.00805"]},"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"department":[{"_id":"799"}],"user_id":"99427","year":"2025","citation":{"ama":"Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. <i>arXiv:250800805</i>. Published online 2025.","ieee":"M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors,” <i>arXiv:2508.00805</i>. 2025.","chicago":"Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025.","bibtex":"@article{Falconi_Hinrichs_Valentín Martín_2025, title={Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors}, journal={arXiv:2508.00805}, author={Falconi, Marco and Hinrichs, Benjamin and Valentín Martín, Javier}, year={2025} }","short":"M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).","mla":"Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors.” <i>ArXiv:2508.00805</i>, 2025.","apa":"Falconi, M., Hinrichs, B., &#38; Valentín Martín, J. (2025). Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors. In <i>arXiv:2508.00805</i>."},"title":"Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors","date_updated":"2026-01-16T09:01:45Z","author":[{"last_name":"Falconi","full_name":"Falconi, Marco","first_name":"Marco"},{"first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","id":"99427"},{"first_name":"Javier","full_name":"Valentín Martín, Javier","last_name":"Valentín Martín"}],"date_created":"2026-01-16T08:59:11Z"},{"language":[{"iso":"eng"}],"_id":"63646","external_id":{"arxiv":["2511.02867"]},"project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"department":[{"_id":"799"}],"user_id":"99427","abstract":[{"text":"We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field.","lang":"eng"}],"status":"public","publication":"arXiv:2511.02867","type":"preprint","title":"Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems","date_updated":"2026-01-16T09:01:02Z","author":[{"id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","first_name":"Benjamin"},{"last_name":"Polzer","full_name":"Polzer, Steffen","first_name":"Steffen"}],"date_created":"2026-01-16T08:59:45Z","year":"2025","citation":{"chicago":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025.","ieee":"B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems,” <i>arXiv:2511.02867</i>. 2025.","ama":"Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. <i>arXiv:251102867</i>. Published online 2025.","apa":"Hinrichs, B., &#38; Polzer, S. (2025). Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. In <i>arXiv:2511.02867</i>.","short":"B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).","mla":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025.","bibtex":"@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867}, author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }"}},{"status":"public","abstract":[{"lang":"eng","text":"We study the convergence rate of translation-invariant discrete-time quantum dynamics on a one-dimensional lattice. We prove that the cumulative distributions function of the ballistically scaled position $\\mathbb X(n)/{n}$ after $n$ steps converges at a rate of $n^{-1/3}$ in the Lévy metric as $n\\to\\infty$. In the special case of step-coin quantum walks with two-dimensional coin space, we recover the same convergence rate for the supremum distance and prove optimality."}],"type":"preprint","publication":"arXiv:2511.13409","language":[{"iso":"eng"}],"user_id":"99427","department":[{"_id":"799"}],"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"external_id":{"arxiv":["2511.13409"]},"_id":"63647","citation":{"apa":"Hinrichs, B., &#38; Mittenbühler, P. (2025). On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. In <i>arXiv:2511.13409</i>.","bibtex":"@article{Hinrichs_Mittenbühler_2025, title={On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks}, journal={arXiv:2511.13409}, author={Hinrichs, Benjamin and Mittenbühler, Pascal}, year={2025} }","short":"B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).","mla":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025.","ama":"Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks. <i>arXiv:251113409</i>. Published online 2025.","chicago":"Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks.” <i>ArXiv:2511.13409</i>, 2025.","ieee":"B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks,” <i>arXiv:2511.13409</i>. 2025."},"year":"2025","title":"On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks","date_created":"2026-01-16T08:59:54Z","author":[{"first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","id":"99427","full_name":"Hinrichs, Benjamin"},{"first_name":"Pascal","full_name":"Mittenbühler, Pascal","last_name":"Mittenbühler"}],"date_updated":"2026-01-16T09:00:31Z"}]