Approximating strongly correlated spin and fermion wavefunctions with correlator product states

ORAL

Abstract

We describe correlator product states, a class of numerically efficient many-body wave functions to describe strongly correlated wave functions in any dimension. Correlator product states introduce direct correlations between physical degrees of freedom in a simple way, yet provide the flexibility to describe a wide variety of systems. Variational Monte Carlo calculations for the Heisenberg and spinless fermion Hubbard models demonstrate the promise of correlator product states for describing both two-dimensional and fermion correlations. In one dimension, correlator product states appear competitive with matrix product states for the same number of variational parameters.

*This work was supported by the National Science Foundation through CHE-0645380, the DOE-CMSN program through DE-FG02-07ER46365, the David and Lucile Packard Foundation, the Alfred P. Sloan Foundation, and the Camille and Henry Dreyfus Foundation.

Authors

  • Hitesh Changlani

    • Department of Physics, Department of Chemistry and Chemical Biology, Cornell University
  • Jesse Kinder

    • Cornell University
    • Department of Chemistry and Chemical Biology, Cornell University
  • Cyrus Umrigar

    • Department of Physics, Cornell University
  • Garnet Chan

    • Department of Chemistry and Chemical Biology, Cornell University