Dr. Simone RademacherMathematisches Institut der Universitaet Muenchen Email: simone.rademacher@math.lmu.de Phone: +49 (0)89 2180 4421 |
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Research
I am working in mathematical physics. I am interested in the mathematical analysis of both many-body quantum systems (such as bosonic and fermionic systems and the polaron) and their effective equations. On the one hand I am studying the mathematical description of Bose-Einstein condensates through central limit theorems and large deviation principles. On the other hand I am working on properties of the effective equations for polaron models and their derivation from the many-body quantum systems. For more details see my list of publications below.
Short CV
I completed my bachelor in physics at the University of Leipzig, and my master at the University Munich and the Technical University Munich in the frame work of the master program Theoretical and Mathematics Physics under the supervision of Heinz Siedentop. In 2019 I received my PhD at the Zurich Graduate School of Mathematics under the supervision of Benjamin Schlein. From 2019 to 2022 I was a postdoctoral fellow in the group of Robert Seiringer at the Institute of Science and Technology Austria. From 2022 to 2024 I was an interim professor at University Munich in the working group stochastics and financial mathematics. Since 2024 I am a postdoctoral researcher with Phan Thanh Nam .
For more details see my CV.
Teaching WiSe 2023/24
I am teaching the course "Stochastik". Please register through moodle for the course.
Seminars
I am co-organizing the online GAuS Seminar on topics in mathematical physics, analysis and PDE together with Christoph Kehle (ETH Zurich) and Konstantin Merz (TU Braunschweig). I am co-organizing the hybrid seminar TU-LMU young researcher seminar on topics in mathematical physics together with Lea Bossmann (LMU Munich) and Amanda Young (TU Munich).
Thematical semester "Optimal Transport on Quantum Structures"
I am co-organizing a thematical semester on Optimal transport on Quantum Structures at the Erdős Center (at the Rényi Institut in Budapest) together with Jan Maas (ISTA) Tamás Tiktos and Dániel Virosztek (Rényi Institut Budapest). In this framework we organize a School (September 19-23, 2022), a Workshop (September 26-30, 2022) and several focus events.
Research Articles
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Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime
N. Behrmann, C. Brennecke, S. Rademacher
arXiv:2501.15803
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Local enhancement of the mean-field approximation for bosons
M. Lemm, S. Rademacher, J. Zhang
arXiv:2412.13868
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Generating function for quantum depletion of Bose-Einstein condensates
S. Rademacher
arXiv:2410.13576
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Limit theorems for empirical measures of interacting quantum systems in Wasserstein space
L. Portinale, S. Rademacher, D. Virosztek
arXiv:2312.00541
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Ground state of Bose gases interacting through singular potentials
L. Boßmann, N. Leopold, S. Petrat and S. Rademacher
arXiv:2309.12233
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Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
M. Lemm, S. Rademacher
QUANTUM, in press.
arXiv:2312.01736
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Exponential bounds of the condensation for dilute Bose gases
P.T. Nam and S. Rademacher
Trans. Amer. Math. Soc., in press
arXiv:2307.10622
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Large deviations for the ground state of weakly interacting Bose gases
S. Rademacher
Annales Henri Poincaré (2024)
arXiv:2301.00430
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Traveling waves and effective mass for the regularized Landau-Pekar equations
S. Rademacher
Calculus of Variations and Partial Differential Equations 63, 121 (2024)
arXiv:2211.08198
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Dependent random variables in quantum dynamics
S. Rademacher
Journal of Mathematical Physics 63, 081902 (2022) arXiv:2112.04817
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Large deviation estimates for weakly interacting bosons
S. Rademacher and R. Seiringer
Journal of Statistical Physics volume 188 (9), (2022)
arXiv:2112.01999
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The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S. Rademacher and R. Seiringer
Journal of Physics A: Mathematical and Theoretical 55 (1), (2022)
arXiv:2107.03720
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Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N. Leopold, D. Mitrouskas, S. Rademacher, B. Schlein and R. Seiringer
Pure and Applied Analysis 3 (4), pp. 653 - 676 (2021)
arXiv:2005.02098
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A large deviation principle in many-body quantum dynamics
K. Kirkpatrick, S. Rademacher and B. Schlein
Annales Henri Poincaré (2021),
arXiv:2010.13754
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Persistence of the spectral gap for the Landau-Pekar equations
D. Feliciangeli, S. Rademacher and R. Seiringer
Letters in Mathematical Physics, 111, no. 19 (2021)
arXiv:2009.06430
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The Landau-Pekar equations: Adiabatic theorem and accuracy
N. Leopold, S. Rademacher, B. Schlein and R. Seiringer
Accpeted for publication in Analysis & PDE (2020)
arXiv:1904.12532
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Central limit theorem for Bose gases interacting through singular potentials
S. Rademacher
Letters in Mathematical Physics, 110, 2143- 2174, (2020)
arXiv:1908.11672
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Central limit theorem for Bose Einstein condensates
S. Rademacher and B. Schlein
Journal of Mathematical Physics 60, 071902, (2019)
arXiv:1903.00365
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From the Hartree dynamics to the relativistic Vlasov equation
E. Dietler, S. Rademacher and B. Schlein
Journal of Statistical Physics 172, 398-433, (2018)
arXiv:1709.02711
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Mean-field evolution of fermions with Coulomb interaction
M. Porta, S. Rademacher, C. Saffirio and B. Schlein
Journal of Statistical Physics 166, 1345-1364, (2017)
arXiv:1608.05268
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Accumulation rate of bound states in graphene
S. Rademacher and H. Siedentop
Journal of Mathematical Physics 57, 042105, (2016)
arXiv:1507.02155
Editorial work
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Optimal transport on quantum structures
Book in the series of Bolyai Society Mathematical Studies
Publication date 10/2024
Joint editorial work with Jan Maas, Tamás Tiktos and Dr. Dániel Virosztek
Including lecture notes of Eric Carlen, Alessio Figalli, Francois Golse and Dario Trevisan
Articles for a General Audience
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Numbers speak louder than words: A first approach to an evidence based discussion on diversity in mathematical physics
S. Cenatiempo and S. Rademacher
IAMP News Bulletin April 2022, pp. 41
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Voices of women in mathematical physics: A series of five interviews
G. Basti, C. Boccato, L. Bossmann, S. Cenatiempo, E. Giacomelli, G. Marcelli and S. Rademacher
IAMP News Bulletin April 2022, pp. 53