Monte Carlo simulations of non-Markovian open systems



: Piilo J, Maniscalco S, Suominen KA

: 2007

: Proceedings of SPIE : the International Society for Optical Engineering

: NOISE AND FLUCTUATIONS IN PHOTONICS, QUANTUM OPTICS, AND COMMUNICATIONS

: PROC SPIE

: ARTN 66032G

: 6603

: 8

: 978-0-8194-6740-9

: 0277-786X

DOI: https://doi.org/10.1117/12.728363


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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