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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/50047
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- Monte Carlo techniques for real-time quantum dynamics
- Dowling, Mark R.; Davis, Matthew J.; Drummond, P. D.; Corney, Joel F.
- The stochastic-gauge representation is a method of mapping the equation of motion for the quantum mechanical density operator onto a set of equivalent stochastic differential equations. One of the stochastic variables is termed the 'weight', and its magnitude is related to the importance of the stochastic trajectory. We investigate the use of Monte Carlo algorithms to improve the sampling of the weighted trajectories and thus reduce sampling error in a simulation of quantum dynamics. The method can be applied to calculations in real time, as well as imaginary time for which Monte Carlo algorithms are more-commonly used. The Monte-Carlo algorithms are applicable when the weight is guaranteed to be real, and we demonstrate how to ensure this is the case. Examples are given for the anharmonic oscillator, where large improvements over stochastic sampling are observed.
- Publication type
- Journal article
- Journal of Computational Physics, Vol. 220, no. 2 (2007), pp. 549-567
- Publication year
- FOR Code(s)
- 02 Physical Sciences
- Bose-Einstein condensation; Branching algorithm; MC; Metropolis algorithm; Monte Carlo; Quantum dynamics; Stochastic gauges
- Academic Press
- Publisher URL
- Copyright © 2006 Elsevier Inc. The accepted manuscript is reproduced in accordance with the copyright policy of the publisher.
- Full text
- Peer reviewed