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Open system dynamics with non-Markovian quantum jumps | J. Piilo
; K. Harkonen
; S. Maniscalco
; K.-A. Suominen
; | Date: |
20 Feb 2009 | Abstract: | We discuss in detail how non-Markovian open system dynamics can be described
in terms of quantum jumps [J. Piilo it et al., Phys. Rev. Lett. 100, 180402
(2008)]. Our results demonstrate that it is possible to have a jump description
contained in the physical Hilbert space of the reduced system. The developed
non-Markovian quantum jump (NMQJ) approach is a generalization of the Markovian
Monte Carlo Wave Function (MCWF) method into the non-Markovian regime. The
results lead to an efficient way to simulate non-Markovian open systems and
shed new light on non-Markovian dynamics. The dynamics of the pure state
ensemble illustrates how local-in-time master equation can describe memory
effects and how the current state of the system carries information on its
earlier state. Our approach solves the problem of negative jump probabilities
of the Markovian MCWF method in the non-Markovian regime by defining the
corresponding jump process with positive probability. The results demonstrate
that in the theoretical description of non-Markovian open systems, there occurs
quantum jumps which recreate seemingly lost superpositions due to the memory. | Source: | arXiv, 0902.3609 | Services: | Forum | Review | PDF | Favorites |
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