A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation

Konstantin Schmitz; Jürgen T. Stockburger

doi:10.1140/epjst/e2018-800094-y

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arXiv · 1812.05960

A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation

Konstantin Schmitz·Jürgen T. Stockburger

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Abstract

The Stochastic Liouville-von Neumann equation provides an exact numerical simulation strategy for quantum systems interacting with Gaussian reservoirs [J.T. Stockburger & H. Grabert, PRL 88, 170407 (2002)]. Its scaling with the extension of the time interval covered has recently improved dramatically through time-domain projection techniques [J.T. Stockburger, EPL 115, 40010 (2016)]. Here we present a sampling strategy which results in a significantly improved scaling with the strength of the dissipative interaction, based on reducing the non-unitary terms in sample propagation through convex optimization techniques.

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Konstantin Schmitz, Jürgen T. Stockburger. 2018-12-14. A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation. https://doi.org/10.1140/epjst%2Fe2018-800094-y

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