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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Konstantin Schmitz, Jürgen T. Stockburger

Year

2018

Paper ID

22696

Status

Preprint

Abstract Read

~2 min

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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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The Stochastic Liouville-von Neumann equation provides an exact numerical simulation strategy for quantum systems interacting with Gaussian reservoirs [J.T.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.05960 [2] arXiv https://arxiv.org/abs/1812.05960 [3] Publisher https://arxiv.org/abs/1812.05960

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