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Heisenberg picture operators in the stochastic wave function approach to open quantum systems
Authors:H.P. Breuer  B. Kappler  F. Petruccione
Affiliation:Albert-Ludwigs-Universit?t, Fakult?t für Physik, Hermann-Herder Stra?e 3, 79104 Freiburg im Breisgau, Federal Republic of Germany, DE
Abstract:
A fast simulation algorithm for the calculation of multitime correlation functions of open quantum systems is presented. It is demonstrated that any stochastic process which “unravels” the quantum Master equation can be used for the calculation of matrix elements of reduced Heisenberg picture operators, and thus for the calculation of multitime correlation functions, by extending the stochastic process to a doubled Hilbert space. The numerical performance of the stochastic simulation algorithm is investigated by means of a standard example. Received: 30 May 1997 / Revised: 4 November 1997 / Accepted: 7 November 1997
Keywords:PACS. 42.50.Lc Quantum fluctuations   quantum noise   and quantum jumps - 02.70.Lq Monte Carlo and statistical methods
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