# Mathematics Colloquia and Seminars

### A Lower bound to the entanglement entropy of droplet states in the XXZ spin chain

Mathematical Physics & Probability

 Speaker: Ruth Schulte, University of Munich Related Webpage: https://www.mathematik.uni-muenchen.de/~schulte/ Location: 1147 MSB Start time: Wed, Mar 4 2020, 4:10PM

We study the free XXZ quantum spin model defined on a ring of size L in the droplet regime
and show that the bipartite entanglement entropy of eigenstates belonging to the first energy band
above the vacuum ground state satisfy a logarithmically corrected area law. Along the way,
we also show a Combes-Thomas estimate for fiber operators which can also be applied to discrete
many-particle Schrödinger operators on more general translation-invariant graphs. This is join
work with Christoph Fischbacher.