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

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.

arXiv comment9 pages, 2 figures, 2 tables

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Cited by in corpus (5)

• On stability issues of the HEOM method
• MLQD: A package for machine learning-based quantum dissipative dynamics
• Efficient choice of coloured noises in stochastic dynamics of open quantum systems
• Exactly Thermalised Quantum Dynamics of the Spin-Boson Model coupled to a Dissipative Environment
• Path-Integral Approach to Quantum Acoustics