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March 1, 1992Physical Review A55 citations

Stochastic dynamics of individual quantum systems: Stationary rate equations

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WTWerner G. TeichGMG. Mahler

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Abstract

An open quantum system is usually characterized by a reduced ensemble density matrix, the dynamics of which is governed by a generalized Master equation. Transforming this equation of motion into the instantaneous diagonal basis of the corresponding reduced density matrix, we can separate the coherent and incoherent part of the dynamics: The coherent dynamics is incorporated in the time development of the diagonal basis states, while the coupling to the reservoirs leads to simple rate equations. Interpreting these rate equations as a stochastic point process allows one to simulate the stochastic time evolution (random telegraph signals, ``quantum jumps'') of single-quantum systems. The diagonal representation can be considered as a generalization of the dressed-state picture of open quantum systems. Numerical simulations (``quantum Monte Carlo'') allow one to derive various dynamical properties (including correlation functions) of single-quantum systems. This concept is applied to different two- and three-level scenarios (and configuration), and its limitations are discussed.

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Cite This Study

Teich et al. (1992) studied this question.

synapsesocial.com/papers/6a153480b2e0231f15821464https://doi.org/10.1103/physreva.45.3300
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