A1 Refereed original research article in a scientific journal
Scaling of non-Markovian Monte Carlo wave-function methods
Authors: Piilo J, Maniscalco S, Messina A, Petruccione F
Publisher: AMERICAN PHYSICAL SOC
Publication year: 2005
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics
Journal name in source: PHYSICAL REVIEW E
Journal acronym: PHYS REV E
Article number: ARTN 056701
Volume: 71
Issue: 5
Number of pages: 9
ISSN: 1539-3755
DOI: https://doi.org/10.1103/PhysRevE.71.056701
Abstract
We demonstrate a scaling method for non-Markovian Monte Carlo wave-function simulations used to study open quantum systems weakly coupled to their environments. We derive a scaling equation, from which the result for the expectation values of arbitrary operators of interest can be calculated, all the quantities in the equation being easily obtainable from the scaled Monte Carlo wave-function simulations. In the optimal case, the scaling method can be used, within the weak coupling approximation, to reduce the size of the generated Monte Carlo ensemble by several orders of magnitude. Thus, the developed method allows faster simulations and makes it possible to solve the dynamics of the certain class of non-Markovian systems whose simulation would be otherwise too tedious because of the requirement for large computational resources.
We demonstrate a scaling method for non-Markovian Monte Carlo wave-function simulations used to study open quantum systems weakly coupled to their environments. We derive a scaling equation, from which the result for the expectation values of arbitrary operators of interest can be calculated, all the quantities in the equation being easily obtainable from the scaled Monte Carlo wave-function simulations. In the optimal case, the scaling method can be used, within the weak coupling approximation, to reduce the size of the generated Monte Carlo ensemble by several orders of magnitude. Thus, the developed method allows faster simulations and makes it possible to solve the dynamics of the certain class of non-Markovian systems whose simulation would be otherwise too tedious because of the requirement for large computational resources.
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