Non Markovian Quantum Repeated Interactions and Measurements

Details Non Markovian Quantum Repeated Interactions and Measurements Non Markovian Quantum Repeated Interactions and Measurements

2009-03-23

arxiv.org/abs/0903.3859v1

Physics

Quantum Physics

22 pages

Scientific paper

A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual pro jection operator techniques in this context, discrete versions of the integro-differential and time-convolutioness Master equations for the reduced system are derived. Next, an intuitive and rigorous description of the indirect quantum measurement principle is developed and a discrete non Markovian stochastic Master equation for the open system is obtained. Finally, the question of unravelling in a particular model of non-Markovian quantum interactions is discussed.

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