Research Topics
Our current research topics are:
- spectral analysis of quantum field theories
- effective and critical limits of many body systems
- path integral methods in quantum mechanics
- dynamical properties of quantum systems
Publications
Conferences
Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025.
Existence of Ground States in the Infrared-Critial Spin Boson Model
B. Hinrichs, in: F. Hiroshima (Ed.), Mathematical Aspects of Quantum Fields and Related Topics, 2022, pp. 60–73.
Journal Articles
Restricted Monte Carlo wave-function method and Lindblad equation for identifying entangling open-quantum-system dynamics
L. Ares, J. Pinske, B. Hinrichs, M. Kolb, J. Sperling, Physical Review A 113 (2026).
Separability Lindblad equation for dynamical open-system entanglement
J. Pinske, L. Ares, B. Hinrichs, M. Kolb, J. Sperling, Physical Review A 113 (2026).
A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate
B. Hinrichs, J. Lampart, Comptes Rendus. Mathématique 362 (2024) 1399–1411.
Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively
D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024).
On Lieb–Robinson Bounds for a Class of Continuum Fermions
B. Hinrichs, M. Lemm, O. Siebert, Annales Henri Poincaré 26 (2024) 41–80.
Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions
B. Hinrichs, O. Matte, Annales Henri Poincaré 25 (2023) 2877–2940.
Super-Gaussian decay of exponentials: A sufficient condition
B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and Applications 528 (2023).
Absence of ground states in the renormalized massless translation-invariant Nelson model
T.N. Dam, B. Hinrichs, Reviews in Mathematical Physics 34 (2022).
FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
D. Hasler, B. Hinrichs, O. Siebert, Annales Henri Poincaré 23 (2022) 2819–2853.
Correlation bound for a one-dimensional continuous long-range Ising model
D. Hasler, B. Hinrichs, O. Siebert, Stochastic Processes and Their Applications 146 (2021) 60–79.
On Existence of Ground States in the Spin Boson Model
D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics 388 (2021) 419–433.
Preprint
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).
On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks
B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).
Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).
Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).
Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).
Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains
B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).
On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups
B. Hinrichs, F. Hiroshima, ArXiv:2412.09708 (2024).
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