A1 Refereed original research article in a scientific journal
Monte Carlo simulations of non-Markovian open systems
Authors: Piilo J, Maniscalco S, Suominen KA
Publication year: 2007
Journal: Proceedings of SPIE : the International Society for Optical Engineering
Journal name in source: NOISE AND FLUCTUATIONS IN PHOTONICS, QUANTUM OPTICS, AND COMMUNICATIONS
Journal acronym: PROC SPIE
Article number: ARTN 66032G
Volume: 6603
Number of pages: 8
ISBN: 978-0-8194-6740-9
ISSN: 0277-786X
DOI: https://doi.org/10.1117/12.728363
Abstract
Various Monte Carlo methods allow the simulation of the dynamics of open quantum systems. We highlight the central features a commonly used method for Markovian systems, i.e., Monte Carlo Wave Function method and another one used for non-Markovian systems, i.e., the doubled Hilbert space method. One of the open problems in the field has been the lack of the existence of Monte Carlo method with quantum jumps for non-Markovian systems. We characterize the key problems that should be solved in this context and give indications for the way towards the development of quantum jump method without auxiliary states for non-Markovian systems.
Various Monte Carlo methods allow the simulation of the dynamics of open quantum systems. We highlight the central features a commonly used method for Markovian systems, i.e., Monte Carlo Wave Function method and another one used for non-Markovian systems, i.e., the doubled Hilbert space method. One of the open problems in the field has been the lack of the existence of Monte Carlo method with quantum jumps for non-Markovian systems. We characterize the key problems that should be solved in this context and give indications for the way towards the development of quantum jump method without auxiliary states for non-Markovian systems.
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