Simone Warzel

Mathematical Physics

Technical University Munich

Mathematics Department

Boltzmannstr. 3

85748 Garching

tel. +49 89 289 17911


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Research focus: mathematical physics, quantum many-body and statistical physics, disordered systems.

Most of the research in my group addresses fundamental issues concerning quantum dynamics in the presence of disorder, and topics related to critical phenomena.

Disordered systems

In recent years one main focus was the influence of interactions in disordered systems. In a first step, the proof of the persistence of a localised phase at large disorder or weak interaction was achieved in systems of finitely, but arbitrarily many interacting particles.

Resonant delocalization

More recently, we studied the phenomenon of resonant delocalisation, that is, the formation of extended states through resonating local quasi-modes in systems with an exponential growth of the volume. So far, we have rigorously established the existence of such modes in toy models as the Anderson model on the Bethe lattice or the complete graph. Ultimately it a challenge to see whether this sheds some light on ongoing debates concerning the behaviour of eigenfunctions such as non-thermalization for more realistic many particle systems.

Another current project concerns a proof of the ground-state phase transition in the quantum random energy model.



Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder

V. Beaud, J. Sieber and S. Warzel.

Journal of Physics A: Mathematical and Theoretical 52, 235202 (2019).

Show Abstract

We give a direct alternative proof of an area law for the entanglement entropy of the ground state of disordered oscillator systems—a result due to Nachtergaele et al (2013 J. Math. Phys. 54 042110). Instead of studying the logarithmic negativity, we invoke the explicit formula for the entanglement entropy of Gaussian states to derive the upper bound. We also contrast this area law in the disordered case with divergent lower bounds on the entanglement entropy of the ground state of one-dimensional ordered oscillator chains.


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