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About me.
About me.
Since April 2023, I am head of the junior research group 'Mathematical Physics of Complex Quantum Systems' at Paderborn University. See here for our group homepage. In 2022, I received my PhD in mathematics under the supervision of David Hasler at Friedrich Schiller University Jena, where I also obtained my bachelors and masters degree in physics.
I am interested in the mathematics behind problems from quantum physics, applying methods from functional analysis (especially spectral theory and operator theory) and stochastic analysis. Problems I have worked on recently include
spectral analysis of quantum field theories,
effective and critical limits of quantum theories,
functional integration methods (Feynman-Kac formulas and applications).
Contact Information.
Mail: benjamin.hinrichs@math.upb.de
Phone: +49 5251 60 2648
Google Scholar • arXiv • MathSciNet
Publications.
Publications.
Submitted Preprints
Submitted Preprints
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
with Marco Falconi and Javier Valentín Martín
arXiv:2508.00805Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
In celebration of Hiroshima-sensei sixtieth birthday.
with Marco Falconi
arXiv:2505.19977Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
with Jonas Lampart and Javier Valentín Martín
arXiv:2502.04876On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
with Volker Betz, Mino Nicola Kraft and Steffen Polzer
arXiv:2501.19362On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups
with Fumio Hiroshima
arXiv:2412.09708Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics
with Laura Ares, Julien Pinske, Martin Kolb and Jan Sperling
arXiv:2412.08735Separability Lindblad equation for dynamical open-system entanglement
with Julien Pinske, Laura Ares, Martin Kolb and Jan Sperling
arXiv:2412.08724Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains
with Oliver Matte
arXiv:2403.12147
Refereed Journal Articles
Refereed Journal Articles
On Lieb-Robinson bounds for a class of continuum fermions
with Marius Lemm and Oliver Siebert
Ann. Henri Poincaré 26(1):41-80, 2025
doi:10.1007/s00023-024-01453-y arXiv:2310.17736A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
with Jonas Lampart
C. R. Math. 362:1319-1411, 2024
doi:10.5802/crmath.652 arXiv:2311.05361Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
with David Hasler and Oliver Siebert
J. Funct. Anal. 286(7):110319, 2024
doi:10.1016/j.jfa.2024.110319 arXiv:2302.06998Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
with Oliver Matte
Ann. Henri Poincaré 25(6):2877-2940, 2024
doi:10.1007/s00023-023-01369-z arXiv:2211.14046Super-Gaussian Decay of Exponentials: A Sufficient Condition
with Daan Willem Janssen and Jobst Ziebell
J. Math. Anal. Appl. 528(1):127558, 2023
doi:10.1016/j.jmaa.2023.127558 arXiv:2205.09189Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
with Thomas Norman Dam
Rev. Math. Phys. 34(10):2250033, 2022
doi:10.1142/S0129055X22500337 arXiv:1909.07661FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
with David Hasler and Oliver Siebert
Ann. Henri Poincaré 23(8):2819-2853, 2022
doi:10.1007/s00023-022-01160-6 arXiv:2106.08659Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
with David Hasler and Oliver Siebert
Stoch. Process. Appl. 146:60-79, 2022
doi:10.1016/j.spa.2021.12.010 arXiv:2104.03013On Existence of Ground States in the Spin Boson Model
with David Hasler and Oliver Siebert
Commun. Math. Phys. 388(1):419-433, 2021
doi:10.1007/s00220-021-04185-w arXiv:2102.13373
Proceedings Articles and Others
Proceedings Articles and Others
Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
with Oliver Matte
RIMS Kôkyûroku 2310(3), 2025
Fumio Hiroshima: Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
Link arXiv:2309.09005Existence of Ground States in the Infrared-Critial Spin Boson Model
RIMS Kôkyûroku 2235(5):60-72, 2022,
Fumio Hiroshima: Proceedings of the 2021 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
Link arXiv:2204.00287Comment for the Newsletter Lehre of the Friedrich Schiller University Jena
Newsletter Lehre 03/2021
Selected Talks.
Selected Talks.
02/2025 Lieb–Robinson Bounds for Continuum Fermions from Maximal Velocity Bounds
Oberseminar Mathematische Physik, Bonn
01/2025 Ground States of Spin Boson Models and Long Range Order in 1D Ising Models
Gauss Mini Workshop on Analysis, PDE, and Mathematical Physics, Braunschweig
01/2025 An Invitation to Path Measure Methods for Polaron Models
PhD-Lecture at the Online-Seminar Mathematical Challenges in Quantum Mechanics
12/2024 Ground States of Spin Boson Models and Long Range Order in 1D Ising Models
Special Session Recent Advances in Mathematical Physics: A focus on (many-body) quantum systems and spectral theory at 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Abu Dhabi
11/2024 The Ising Phase Transition in the Spin Boson Model (online)
RIMS Symposium Mathematical aspects of quantum fields and related topics, Kyoto
08/2024 Feynman–Kac Formulas for Polaron Models and the Ultraviolet Problem
Stochastic processes under constraints, Bielefeld
07/2024 Non-Perturbative Results on the Mass Shell in Polaron Models
XXI International Congress on Mathematical Physics, Strasbourg
06/2024 Non-Perturbative Results on the Mass Shell in Polaron Models
Oberseminar Calculus of Variations, LMU München
06/2024 Ergodicity of Feynman–Kac Semigroups on Fock Spaces
12th miniworkshop Operator Theoretic Aspects of Ergodic Theory, Leipzig
12/2023 Feynman-Kac Formulas for Polaron-Type Semigroups & the Ultraviolet Problem
Mathematical Physics in the Heart of Germany II, Braunschweig
09/2023 A Ballistic Lieb-Robinson Bound for Many-Body Fermions
Minisymposium Mathematical Analysis of Complex Quantum Systems at the DMV Annual Meeting 2023, Ilmenau
05/2023 Non-Perturbative Results on the Mass Shell in Nelson-Type Models
Oberseminar 'Mathematical Physics, Tübingen
01/2023 Investigating the Spin Boson Model by 1D Ising Models
Minisymposium Rabi and Spin Boson Models, Kyushu University
01/2023 Non-Perturbative Results on the Mass Shell in Nelson-Type Models
2023 RIMS conference Mathematical aspects of quantum fields and related topics
09/2022 The Qubit and the Infrared Catastrophe
Minisymposium Mathematical Analysis of Complex Quantum Systems at the DMV Annual Meeting 2022, Berlin
06/2022 Existence of Ground States in the Massless Spin Boson Model
Mathematics Seminar, Aarhus University
04/2022 Infrared-Criticality and the Qubit
Research Seminar Complex Quantum Systems, Paderborn University
12/2021 Existence of Ground States in the Spin Boson Model (online)
2021 RIMS conference Mathematical aspects of quantum fields and related topics
06/2021 Domain and Ground State Energy of the Renormalized Translation-Invariant Nelson Hamiltonian (online)
IMB Seminaire Mathématique-Physique, Dijon
Current Teaching.
Current Teaching.
I am organizing the master's program 'Mathematical Physics' at Paderborn University, which started in winter term 2023/24, joint with Martin Kolb. Details can be found here.
In summer term 2024, I will teach the course 'Mathematical Quantum Mechanics' for Master Mathematics. In winter term 2023/24, I held the lecture 'Functional Analysis' for Bachelor Mathematics.
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