2014/07/10 by Lei Wang, Matthias Troyer
Mathematics · Physics and Astronomy · #Diffusion Monte Carlo #Entropy (arrow of time) #Fermion #Hybrid Monte Carlo #Markov chain Monte Carlo #Mathematics #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Physics #Physics of Superconductivity and Magnetism #Principle of maximum entropy #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Rényi entropy #Squashed entanglement #Statistical physics #Statistics #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.113.110401
published as Phys. Rev. Lett. 113, 110401 (2014) · Added references and footnote [53]
arxiv created 2014/07/10 · openalex publication_date 2014/09/10 · arxiv updated 2014/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a new algorithm for calculating the Renyi entanglement entropy of interacting fermions using the continuous-time quantum Monte Carlo method. The algorithm only samples the interaction correction of the entanglement entropy, which by design ensures the efficient calculation of weakly interacting systems. Combined with Monte Carlo reweighting, the algorithm also performs well for systems with strong interactions. We demonstrate the potential of this method by studying the quantum entanglement signatures of the charge-density-wave transition of interacting fermions on a square lattice.