We present a method for improving measurements of the entanglement Rényi entropies in quantum Monte Carlo simulations by relating them with measurements of participation Rényi entropies. Exploiting the capability of building improved estimators for the latter makes it possible to obtain very good estimates for entanglement Rényi entropies. When considering a full system instead of a bipartition, the method can be further ameliorated, providing access to the thermodynamic Rényi entropies with high accuracy. We also explore a recently proposed method for the reconstruction of the entanglement spectrum from entanglement Rényi entropies and finally show how potential entanglement Hamiltonians may be tested for their validity using a comparison with thermal Rényi entropies.

• Received 29 May 2014
• Revised 4 August 2014

DOI:https://doi.org/10.1103/PhysRevB.90.125105