title: Path-integral Monte Carlo method for Rényi entanglement entropies.
abstract: We introduce a quantum Monte Carlo algorithm to measure the Rényi entanglement entropies in systems of interacting bosons in the continuum. This approach is based on a path-integral ground state method that can be applied to interacting itinerant bosons in any spatial dimension with direct relevance to experimental systems of quantum fluids. We demonstrate how it may be used to compute spatial mode entanglement, particle partitioned entanglement, and the entanglement of particles, providing insights into quantum correlations generated by fluctuations, indistinguishability, and interactions. We present proof-of-principle calculations and benchmark against an exactly soluble model of interacting bosons in one spatial dimension. As this algorithm retains the fundamental polynomial scaling of quantum Monte Carlo when applied to sign-problem-free models, future applications should allow for the study of entanglement entropy in large-scale many-body systems of interacting bosons.
authors.affiliation: Department of Physics, University of Vermont, Burlington, Vermont 05405, USA.
authors.forename: C M
authors.initials: CM
authors.lastname: Herdman
authors.affiliation: Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, and Center for Nanoscience, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333 Munich, Germany and Department of Physics and Astronomy, University of Waterloo, Ontario, Canada N2L 3G1.
authors.forename: Stephen
authors.initials: S
authors.lastname: Inglis
authors.affiliation: Department of Chemistry, University of Waterloo, Ontario, Canada N2L 3G1.
authors.forename: P-N
authors.initials: PN
authors.lastname: Roy
authors.affiliation: Department of Physics and Astronomy, University of Waterloo, Ontario, Canada N2L 3G1 and Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5.
authors.forename: R G
authors.initials: RG
authors.lastname: Melko
authors.affiliation: Department of Physics, University of Vermont, Burlington, Vermont 05405, USA and Vermont Complex Systems Center, University of Vermont, Burlington, Vermont 05405, USA.
authors.forename: A
authors.initials: A
authors.lastname: Del Maestro
mesh_terms: D000465:Algorithms; D004601:Elementary Particles; D019277:Entropy; D008958:Models, Molecular; D008968:Molecular Conformation; D009010:Monte Carlo Method; D011789:Quantum Theory