English

Non Markovian Quantum Repeated Interactions and Measurements

Quantum Physics 2015-05-13 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0903.3859,
  title  = {Non Markovian Quantum Repeated Interactions and Measurements},
  author = {C Pellegrini and F Petruccione},
  journal= {arXiv preprint arXiv:0903.3859},
  year   = {2015}
}

Comments

22 pages

R2 v1 2026-06-21T12:43:21.498Z