Behavior of Renyi entanglement entropies of perturbed quantum spin liquids

We study the behavior of Renyi entanglement entropies in quantum dimer models on various lattices 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 = 0.3,...,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.