English

Quantum Monte Carlo solution of the dynamical mean field equations in real time

Strongly Correlated Electrons 2017-10-18 v1

Abstract

We present real-time inchworm quantum Monte Carlo results for single-site dynamical mean field theory on an infinite coordination number Bethe lattice. Our numerically exact results are obtained on the L-shaped Keldysh contour and, being evaluated in real-time, avoid the analytic continuation issues typically encountered in Monte Carlo calculations. Our results show that inchworm Monte Carlo methods have now reached a state where they can be used as dynamical mean field impurity solvers and the dynamical sign problem can be overcome. As non-equilibrium problems can be simulated at the same cost, we envisage the main use of these methods as dynamical mean field solvers for time-dependent problems far from equilibrium.

Keywords

Cite

@article{arxiv.1706.02975,
  title  = {Quantum Monte Carlo solution of the dynamical mean field equations in real time},
  author = {Qiaoyuan Dong and Igor Krivenko and Joseph Kleinhenz and Andrey E. Antipov and Guy Cohen and Emanuel Gull},
  journal= {arXiv preprint arXiv:1706.02975},
  year   = {2017}
}