### Session X44: Focus Session: Nanoscale Transport - Molecules III

8:00 AM–11:00 AM, Friday, March 9, 2007

Chair: Mark Hybertsen, Brookhaven National Laboratory

Abstract ID: BAPS.2007.MAR.X44.10

### Abstract: X44.00010 : Numerical Estimation of Keldysh-Countour Path Integrals for Nonequilibrium Problems

10:12 AM–10:24 AM

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#### Authors:

Andrew Millis
(Columbia University)

Philipp Werner

We propose an idea for simulating the dynamics of open (coupled to reservoirs) systems in a nonequilibrium steady state and present preliminary numerical results for the nonequilibrium spin boson and Anderson models. The method builds on the observation (Phys. Rev. Lett. ${\bf 94}$ 076404) that out of equilibrium the Keldysh time evolution operator exhibits an exponential time decay, and uses the stochastic hybridization expansion techniques of Phys. Rev. Lett. ${\bf 97}$, 07640.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2007.MAR.X44.10