
Simon Lukas Becker
Career
- 2017-date: PhD Student (CCA), University of Cambridge
- 2016-2017: Visiting Research Student, UC Berkeley
- 2015-2017: M.Sc. in Theoretical and Mathematical Physics, LMU and TU Munich
- 2012-2017: B.Sc. and M.Sc. in Mathematics, FU Berlin
Publications & Preprints
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Spectral characterization of magic angles in twisted bilayer graphene.Joint work with Mark Embree, Jens Wittsten, and Maciej Zworski. Preprint on arXiv.
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Computing solutions of Schrödinger equations on unbounded domains- On the brink of numerical algorithms. Joint work with Anders Hansen. Preprint on arXiv.
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Quantum Zeno effect for open quantum systems. Joint work with Robert Salzmann and Nilanjana Datta. Preprint on arXiv.
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The optimal spectral gap for regular and disordered harmonic networks of oscillators. Joint work with Angeliki Menegaki. Preprint on arXiv.
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Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds. Joint work with Lorenz Richter. Preprint on arXiv.
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Quantum statistical learning via Quantum Wasserstein natural gradient. Joint work with Wuchen Li. Journal of Statistical Physics. 2020.
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Mathematics of magic angles in a model of twisted bilayer graphene. Joint work with Mark Embree, Jens Wittsten, and Maciej Zworski. Preprint on arXiv.
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Honeycomb structures in magnetic fields. Joint work with Rui Han, Svetlana Jitomirskaya, and Maciej Zworski. Preprint on arXiv.
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Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem. Joint work with Nilanjana Datta, Ludovico Lami, and Cambyse Rouzé. 2020. Preprint on arXiv.
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Dynamical delocalization for discrete magnetic random Schrödinger operators. Joint work with Rui Han. 2020. Preprint on arXiv.
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Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra. Joint work with Federica Gregorio, Delio Mugnolo. 2020. J. Math. Anal. and Appl..
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Feedback control theory & Model order reduction for stochastic equations. Joint work with Carsten Hartmann, Martin Redmann, Lorenz Richter. 2019. Preprint on arXiv.
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Convergence rates for the quantum central limit theorem. Joint work with Nilanjana Datta, Ludovico Lami, Cambyse Rouzé. 2020. Comm. Math. Phys.
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Spectral gap in $\mathcal O(n)$-model. Joint work with Angeliki Menegaki. 2020. Comm. Math. Phys.
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Convergence rates for quantum evolution and entropic continuity bound in infinite dimensions. Joint work with Nilanjana Datta. 2019. Comm. Math. Phys.
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Geometry of energy landscapes and the optimizability of deep neural networks. Joint work with Yao Zhang and Alpha Lee. 2020. Phys. Rev. Lett.
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Infinite-dimensional Bilinear And Stochastic Balanced Truncation. Joint work with Carsten Hartmann. 2019. Math. Control Signals Syst.
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Cantor Spectrum For Graphene In Magnetic Fields. Joint work with Rui Han and Svetlana Jitomirskaya. 2019. Inventiones mathematicae.
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Magnetic Oscillations in Graphene. Joint work with Maciej Zworski. 2019. Comm. Math. Phys.
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Spectral properties of the 2+1 fermionic trimer with contact interactions.Joint work with Alessandro Michenangeli and Andrea Ottolini. 2018. Math. Phys. Anal. Geo.
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Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory. Joint work with K. Schatz, and B. Friedrich, and B. Schmidt. 2018. Phys. Rev. A
- Conditional Quasi-Exact Solvability of the Quantum Planar Pendulum and its Anti-Isospectral Hyperbolic Counterpart, Joint work with M. Mirahmadi, B. Schmidt, K. Schatz, and B. Friedrich. 2017. Eur. Phys. J. D