TUM M7/Analysis - SimoneWarzel

Prof. Dr. Simone Warzel

Technische Universität München
Zentrum Mathematik - M7
Boltzmannstraße 3
85748 Garching

Room: 03.06.040
Phone: +49-89-289-17911
eMail: warzel

ma.tum.de

Office hours: Tuesdays 10:30-12:00

Current events

Vorlesung: Analysis für Physiker 3
Vorlesung: Fallstudien: Zufallsmatrizen
Forschungsseminar: Analysis & Zufall (zusammen mit P. Müller (LMU)).

Hauptseminar (SoSe 2018) Matrix analysis in quantum theory (zusammen mit R. König)
Workshop (SoSe 2018) Beweise aus dem Buch
Vorlesung (SoSe 2018) Operator Theory

Editorial work

Research interests

My research interests are within mathematical physics, where I have mainly been concerned with the following topics: quantum systems with disorder, many-body quantum systems, statistical mechanics

Short CV

Since 2008: Professor, TU Munich and Visiting Research Collaborator, Princeton University
2006-2008: Assistant Professor, Princeton University
2003-2006: Postdoc and lecturer at Princeton University
2001-2002: Postdoc at Friedrich-Alexander-University Erlangen
1997-2001: PhD student at Friedrich-Alexander-University Erlangen

Grants, Fellowships and Awards

2014-2018: DFG Grant
2013 von Neumann Fellowship Award IAS
2009: Young Scientist Award by IUPAP
2007-2010: Alfred P. Sloan Fellowship
2007-2013: NSF Grant
2003-2005: DFG Postdoctorial Fellowship

Book

M. Aizenman, S. Warzel: Random Operators: Disorder Effects on Quantum Spectra and Dynamics AMS 2015.

Publications

M. Aizenman, H. Duminil-Copin, V. Tassion, S. Warzel: Emergent Planarity in two-dimensional Ising Models with finite-range Interactions, Preprint arXive:1801.04960.
P. von Soosten, S. Warzel: Non-Ergodic Delocalization in the Rosenzweig-Porter Model, arXiv:1709.10313.
P. von Soosten, S. Warzel: Singular Spectrum and Recent Results on Hierarchical Operators, arXive:1705.04884.
P. Soosten, S. Warzel: The Phase Transition in the Ultrametric Ensemble and Local Stability of Dyson Brownian Motion, arXive:1705.00923.
M. Aizenman, S. Warzel: Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function, Preprint arXive:1709.06052.
V. Beaud, S. Warzel: Bounds on the entanglement entropy of droplet states in the XXZ spin chain, to appear in J. Math. Phys. Preprint arXiv:1709.10428.
M. Aizenman, H. Schanz, U. Smilansky, S. Warzel: Edge switching transformations of quantum graphs, Acta Physica Polonica A 132: 1699-1703 (2017).
V. Beaud, S. Warzel: Low-energy Fock-space localization for attractive hard-core particles in disorder, Ann. Henri Poincare 18: 3143-3166 (2017).
M. Aizenman, M. Lainz Valcazar, S. Warzel: Pfaffian Correlation Functions of Planar Dimer Covers, J. Stat. Phys. 166: 1078-1091 (2017).
P. von Soosten, S. Warzel: Renormalization Group Analysis of the Hierarchical Anderson Model, Ann. Henri Poincare, 18: 1919-1947 (2017).
R. Sims, S. Warzel: Decay of Determinantal and Pfaffian Correlation Functionals in One-dimensional Lattices. Comm. Math. Phys. 347: 903-931 (2016).
R. Seiringer, S. Warzel: Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas, New J. Phys. 18: 035002 (2016).
W. Hochstättler, W. Kirsch, S. Warzel: Semicircle law for a matrix ensemble with dependent entries, J. Theor. Probab. 29: 1047-1068 (2016).
M. Aizenman, S. Warzel: A Boosted Simon-Wolff Spectral Criterion and Resonant Delocalization, Commun. Pure Appl. Math. 69: 2195-2218 (2016).
J. Adame, S. Warzel: Exponential vanishing of the ground-state gap of the quantum random energy model via adiabatic quantum computing. J. Math. Phys. 56: 113301 (2015)
M. Aizenman, M. Shamis, S. Warzel: Resonances and partial delocalization on the complete graph, Ann. Henri Poincare 16: 1969-2003 (2015).
M. Keller, D. Lenz, S. Warzel: An invitation to trees of finite cone type: random and deterministic operators, Markov Processes Relat. Fields 21, 557-574 (2015).
M. Fauser, S. Warzel: Multiparticle localization for disordered systems on continuous space via the fractional moment method, Rev. Math. Phys. 27, 1550010 (2015).
M. Aizenman, S. Warzel: On the ubiquity of the Cauchy distribution in spectral problems, Probab. Theory Relat. Fields 163: 61-87 (2015).
S. Warzel: Surprises in the phase diagram of the Anderson model on the Bethe lattice, pp. 239-253 in: XVIIth International Congress on Mathematical Physics Ed.: A. Jensen World Scientific 2013.
M. Aizenman, S. Warzel: Resonant delocalization for random Schrödinger operators on tree graphs, J. Eur. Math. Soc. 15: 1167-1222 (2013)
M. Keller, D. Lenz, S. Warzel: On the spectral theory of trees with finite cone type, Israel Journal of Mathematics 194: 1-29 (2013)
M. Keller, D. Lenz, S. Warzel: Absolutely continuous spectrum for random operators on trees of finite cone type, Journal d'Analyse Mathematique 118: 363--396 (2012)
M. Aizenman, S. Warzel: Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs, J. Math. Phys. 53, 095205 (2012)
M. Aizenman, S. Warzel: Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder, EPL 96: 37004 (2011).
M. Aizenman, S. Warzel: Extended states in a Lifshitz tail regime for random Schrödinger operators on trees, Phys. Rev. Lett. 106: 136804 (2011).
M. Aizenman, S. Warzel: Disorder-induced delocalization on tree graphs. In: Mathematical Results in Quantum Mechanics , Ed. P. Exner, 107-109, World Scientific 2011.
M. Aizenman, S. Warzel: Complete dynamical localization in disordered quantum multi-particle systems. XVIth International Congress on Mathematical Physics, 556–565, World Sci. 2010.
H. Siedentop, R. Frank, S. Warzel: The energy of heavy atoms according to Brown and Ravenhall: the Scott correction. Doc. Math. 14: 463–516 (2009).
M. Aizenman, S. Warzel: Localization Bounds for Multiparticle Systems, Comm. Math. Phys. 290: 903–934 (2009)
M. Aizenman, S. Warzel: On the joint distribution of energy levels of random Schrödinger operators, J. Phys. A: Math. Theor. 42: 045201 (2009).
M. Aizenman, F. Germinet, A. Klein, S. Warzel: On Bernoulli decompositions for random variables, concentration bounds, and spectral localization, Probab. Theory Relat. Fields 143: 219-238 (2009).
R. Frank, H. Siedentop, S. Warzel, The ground state energy of heavy atoms: relativistic lowering of the leading energy correction, Commun. Math. Phys. 278 : 549-566 (2008)
M. Aizenman, S. Warzel, The canopy graph and level statistics for random operators on trees, Math. Phys. Anal. Geom. 9: 291-333 (2007)
M. Aizenman, B. Sims, S. Warzel, Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs, Probab. Theory Relat. Fields 136: 363-394 (2006)
M. Aizenman, B. Sims, S. Warzel, Fluctuation based proof of the stability of ac spectra of random operators on tree graphs, In: Recent Advances in Differential Equations and Mathematical Physics , Eds.: N. Chernov, Y. Karpeshina, I.W. Knowles, R.T. Lewis, R. Weikard Contemporary Math. Series 412: 1-14 (2006)
M. Aizenman, B. Sims, S. Warzel, Absolutely continuous spectra of quantum tree graphs with weak disorder, Commun. Math. Phys. 264: 371-389 (2006)
W. Kirsch, S. Warzel, Anderson localization and Lifshits tails for random surface potentials, J. Funct. Anal. 230: 222-250 (2006)
H. Leschke, S. Warzel, A. Weichlein, Energetic and dynamic properties of a quantum particle in a spatially random magnetic field with constant correlations along one direction, Ann. Henri Poincare 7: 335-363 (2006)
M. Aizenman, S. Warzel, Persistence under weak disorder of ac spectra of quasi-periodic Schrödinger operators on trees graphs, Mosc. Math. J. 5: 499-506 (2005)
W. Kirsch, S. Warzel, Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime, Math. Phys. Anal. Geom. 8: 257-285 (2005)
H. Leschke, S. Warzel, A. Weichlein, Ballistic transport in random magnetic fields with anisotropic long-ranged correlations, J. Phys. A: Math. Gen. 38: L235-L240 (2005)
H. Leschke, S. Warzel, Quantum-classical transitions in Lifshits tails with magnetic fields, Phys. Rev. Lett. 92: 086402:1-4 (2004)
H. Leschke, P. Müller, S. Warzel, A survey of rigorous results on random Schrödinger operators for amorphous solids, Markov Proc. Relat. Fields 9: 729-760 (2003); Reprinted on p. 119-151 in: J.-D. Deuschel, A. Greven (eds.), Interacting Stochastic Systems, Springer, Berlin 2005.
D. Hundertmark, W. Kirsch, S. Warzel, Classical magnetic Lifshits tails in three space dimensions: impurity potentials with slow anisotropic decay, Markov Proc. Relat. Fields 9: 651-660 (2003)
G. Raikov, S.Warzel, Quasi-classical versus non-classical spectral asymptotics for magnetic Schrödinger operators with decreasing electric potentials, Rev. Math. Phys. 14: 1051-1072 (2002)
G. Raikov, S.Warzel, Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials, C. R. Acad. Sci. Paris Ser. I, 335: 683-688 (2002)
H. Leschke, R. Ruder, S. Warzel, Simple diamagnetic monotonicities for Schrödinger operators with inhomogeneous magnetic fields of constant direction, J. Phys. A: Math. Gen. 35:5701-5709 (2002)
T. Hupfer, H. Leschke, S. Warzel, Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials, J. Math. Phys. 42: 5626-5641 (2001)
T. Hupfer, H. Leschke, P. Müller, S. Warzel, The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials, Comm. Math. Phys. 221: 229-254 (2001)
T. Hupfer, H. Leschke, P. Müller, S. Warzel, Existence and uniqueness of the integrated density of states for Schrödinger operators with magnetic fields and unbounded random potentials, Rev. Math. Phys. 13: 1547-1581 (2001)
T. Hupfer, H. Leschke, S. Warzel, The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity, AMS/IP Studies in Adv. Math. 16: 233-247 (2000)
T. Hupfer, H. Leschke, S. Warzel, Poissonian obstacles with Gaussian walls discriminate between classical and quantum Lifshits tailing in magnetic fields, J. Stat. Phys. 97: 725-750 (1999)
B. Bodmann, H. Leschke, S. Warzel, A rigorous path-integral for quantum spin dynamics via planar Brownian motion, Pages 173-176 in: Path-integrals from peV to TeV - Firenze '98, eds. V. Tognetti, R. Vaia, R. Casalbuoni, R. Gachetti, P. Verrucchi, World Scientific 1999
B. Bodmann, H. Leschke, S. Warzel, A rigorous path-integral for quantum spin using flat-space Wiener regularization, J. Math. Phys. 40: 2549-2559 (1999)