English

Stochastic Schr\"odinger equations with coloured noise

Quantum Physics 2010-10-28 v1

Abstract

A natural non-Markovian extension of the theory of white noise quantum trajectories is presented. In order to introduce memory effects in the formalism an Ornstein-Uhlenbeck coloured noise is considered as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, non-Markovian stochastic Schr\"odinger equations which unravel non-Markovian master equations are derived.

Keywords

Cite

@article{arxiv.0911.2554,
  title  = {Stochastic Schr\"odinger equations with coloured noise},
  author = {A. Barchielli and C. Pellegrini and F. Petruccione},
  journal= {arXiv preprint arXiv:0911.2554},
  year   = {2010}
}

Comments

4pages, revtex

R2 v1 2026-06-21T14:11:06.223Z