Zero-temperature properties of the long-range transverse-field Ising model on the triangular lattice

ORAL

Abstract

We investigate the ground state properties of the transverse-field Ising model with long-range, antiferromagnetic interactions on the triangular lattice. Our study is motivated by experiments on trapped beryllium ions, where the ions form a 2D Wigner crystal with tunable 1/rα Ising interactions in the range 0 ≤ α ≤ 3, where r is the distance between two spins. Our results are obtained using a projector variant of the stochastic series expansion (SSE) Monte Carlo method, which allows direct access to ground state properties throughout the phase diagram.

–

Presenters

  • James Garrison

    • QuICS/JQI, University of Maryland, College Park
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland

Authors

  • James Garrison

    • QuICS/JQI, University of Maryland, College Park
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland

  • Kevin Wang

    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland

  • Alexey V Gorshkov

    • Join Quantum Institute
    • Joint Quantum Institute
    • Joint Center for Quantum Information and Computer Science
    • QuICS/JQI, University of Maryland, College Park
    • University of Maryland, College Park
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland
    • JQI/QuICS NIST/University of Maryland, College Park