3 papers
math-ph2020
Lower Bound to the Entanglement Entropy of the XXZ Spin Ring
Christoph Fischbacher, Ruth Schulte
We study the free XXZ quantum spin model defined on a ring of size and show that the bipartite entanglement entropy of eigenstates belonging to the first energy band above the…
math-ph2020
Stability of the enhanced area law of the entanglement entropy
Peter Müller, Ruth Schulte
We consider a multi-dimensional continuum Schrödinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an u…
math-ph2019
How much delocalisation is needed for an enhanced area law of the entanglement entropy?
Peter Müller, Leonid Pastur, Ruth Schulte
We consider the random dimer model in one space dimension with Bernoulli disorder. For sufficiently small disorder, we show that the entanglement entropy exhibits at least a logari…