Entanglement studies of interacting fermionic models

Abstract

Recent advances in the field of strongly correlated electron systems allow to access the entanglement properties of interacting fermionic models, by means of Monte Carlo simulations. We briefly review the techniques used in this context to determine the entanglement entropies and correlations of the entanglement Hamiltonian. We further apply these methods to compute the spin two-point function of entanglement Hamiltonian for a stripe embedded into a correlated topological insulator. Further we discuss a recent method that allows an unbiased, numerically exact, direct determination of the entanglement Hamiltonian by means of auxiliary field quantum Monte Carlo simulations.

6 pages, 3 figures; v2: updated references. Proceedings of CSP 2018: International Conference on Computer Simulation in Physics and beyond

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Cited by in corpus (3)

• Mutual information in heavy-fermion systems
• Entanglement entropy and localization in disordered quantum chains
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code