UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

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.