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A Lower bound to the entanglement entropy of droplet states in the XXZ spin chain
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 |
Description
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.