Quantum Monte Carlo simulations of complex Hamiltonians

ORAL

Abstract

In the last two decades there have been tremendous advances in boson Quantum Monte Carlo methods, which allow for solving more and more complex Hamiltonians. In particular, it is now possible to simulate Hamiltonians that include terms that couple an arbitrary number of sites and/or particles, such as six-site ring-exchange terms. These ring-exchange interactions are crucial for the study of quantum fluctuations on highly frustrated systems. We illustrate how the Stochastic Green Function algorithm with Global Space-Time Update can easily simulate such complex systems, and present some results for a highly non-trivial model of bosons in a pyrochlore crystal with six-site ring-exchange terms.

*This work is supported by NSF OISE-0952300 (KH, VGR and JM) and by DOE SciDAC grant DE-FC02-06ER25792 (KMT and MJ). This work used the Extreme Science and Engineer- ing Discovery Environment (XSEDE), which is sup- ported by the National Science Foundation

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Authors

  • Val\'ery Rousseau

    • Louisiana State University
    • Louisiana State University, Baton Rouge, LA

  • Kalani Hettiarachchilage

    • Louisiana State University

  • Ka-Ming Tam

    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University

  • Juana Moreno

    • Louisiana State University
    • Louisiana State University, Baton Rouge, LA

  • Mark Jarrell

    • Louisiana State University
    • Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University
    • Louisiana State University, Baton Rouge, LA