English

General Non-Markovian structure of Gaussian Master and Stochastic Schr\"odinger Equations

Quantum Physics 2014-11-19 v1 Mathematical Physics math.MP

Abstract

General open quantum systems display memory features, their master equations are non-Markovian. We show that the subclass of Gaussian non-Markovian open system dynamics is tractable in a depth similar to the Markovian class. The structure of master equations exhibits a transparent generalization of the Lindblad structure. We find and parametrize the class of stochastic Schr\"odinger equations that unravel a given master equation, such class was before known for Markovian systems only. We show that particular non-Markovian unravellings known in the literature are special cases of our class.

Keywords

Cite

@article{arxiv.1408.1273,
  title  = {General Non-Markovian structure of Gaussian Master and Stochastic Schr\"odinger Equations},
  author = {Lajos Diósi and Luca Ferialdi},
  journal= {arXiv preprint arXiv:1408.1273},
  year   = {2014}
}