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Steady state formulation of Inchworm Monte Carlo

ORAL

Abstract

We present an Inchworm method directly formulated in the steady state. Until now, numerically exact real time Monte Carlo methods have simulated steady state dynamics by propagating from a tractable initial condition to long times. The computational cost for accessing nonequilibrium steady states in these methods was often prohibitive. We demonstrate the performance of our steady state method by comparison with analytical results and other numerically exact techniques and showcase its usage within dynamical mean field simulations. The steady state formulation of the Inchworm method closes the gap between short-time dynamics and the long time behavior and extends the applicability of non-equilibrium Monte Carlo methods as impurity solvers within quantum embedding schemes.

Presenters

  • Andre Erpenbeck

    Department of Physics, University of Michigan

Authors

  • Andre Erpenbeck

    Department of Physics, University of Michigan

  • Emanuel C Gull

    University of Michigan

  • Guy Cohen

    Tel Aviv University