2004/11/30 by J. Piilo, Jyrki Piilo, S. Maniscalco +4
Computer Science · Mathematics · Physics and Astronomy · #Dynamic Monte Carlo method #Function (biology) #Hybrid Monte Carlo #Markov chain Monte Carlo #Markov process #Mathematics #Monte Carlo integration #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Physics #Quantum Information and Cryptography #Quantum Monte Carlo #Quantum mechanics #Quantum optics and atomic interactions #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Wave function #quant-ph
paper · pdf · doi:10.1103/physreve.71.056701
published as Phys. Rev. E 71, 056701 (2005) · 10 pages, 3 figures. V2: Minor changes according to the referees' suggestions
openalex publication_date 2005/05/10 · arxiv created 2005/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.