Quantum Monte Carlo Results for Rényi Entanglement Entropy in the Bose-Hubbard Model

ORAL

Abstract

In this talk we report Rényi Entanglement Entropies in the D-dimenisional Bose-Hubbard Model computed via quantum Monte Carlo simulations. We discuss algorithmic extensions of the T = 0 path integral quantum Monte Carlo framework that make this possible, and allow for the study of Rényi entanglement entropies in bosonic lattice models in general spatial dimensions with favorable polynomial scaling with system size. Some applications of this new technology include probing quantum phase transitions, quantifying the entanglement accessible as a resource for quantum computing, and exploring the scaling of spatial entanglement with subregion size.

**This work was supported in part by the NSF under Grant No. DMR-1553991. Computations were performed on the Vermont Advanced Computer core supported in part by NSF Grant No. OAC-1827314.

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Presenters

  • Emanuel Casiano-Diaz

    • Physics, University of Tennessee Knoxville

Authors

  • Emanuel Casiano-Diaz

    • Physics, University of Tennessee Knoxville

  • Chris M Herdman

    • Middlebury College
    • Physics, Middlebury College

  • Adrian G Del Maestro

    • The University of Tennessee
    • University of Tennessee
    • University of Tennessee, Knoxville
    • Physics, University of Tennessee Knoxville
    • Department of Physics, University of Vermont