https://doi.org/10.1140/epjst/e2018-800094-y
Regular Article
A variance reduction technique for the stochastic Liouville–von Neumann equation
Institute for Complex Quantum Systems, Ulm University,
Ulm, Germany
a e-mail: juergen.stockburger@uni-ulm.de
Received:
15
May
2018
Received in final form:
27
July
2018
Published online: 28 January 2019
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
