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Phys. Rev. A 64, 025801 (2001) [4 pages]

Optimization of the positive-P representation for the anharmonic oscillator

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L. I. Plimak, M. K. Olsen, and M. J. Collett
Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

Received 28 March 2001; published 6 July 2001

We demonstrate how the freedom in the definition of the positive-P representation may be used to reduce stochastic sampling errors, using the single-mode anharmonic oscillator as an example. In the modeling of this system, which is well known for being problematic, we achieve an improvement of more than 20 orders of magnitude in the distribution of the trajectories.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.025801
DOI:
10.1103/PhysRevA.64.025801
PACS:
42.50.Ct, 02.50.Ey, 05.40.Ca, 03.65.Yz