Response of Renyi entanglement entropies of perturbed quantum spin liquids

We study the behavior of Renyi entanglement entropies in various models including dimer models and fractional quantum hall models that are known to harbor a quantum spin liquid phase when an additional external perturbation $V(lambda)$ is present.

Previous work in Phys. Rev. Lett. 110, 210602 (2013) has shown that the derivative of the n-th entanglement entropy $delta_{lambda}S_{n}$ with $n in {0.3, ldots, 2.0}$ displays characteristic so-called splitting behavior connected to the quantum information notion of differential local convertibility. Possible relations of the splitting behavior to various phenomena such as a nonflat entanglement spectrum or the presence of anyons are presented.