Stochastic Schrödinger equations and memory
arXiv:1006.3647
Abstract
By starting from the stochastic Schrödinger equation and quantum trajectory theory, we introduce memory effects by considering stochastic adapted coefficients. As an example of a natural non-Markovian extension of the theory of white noise quantum trajectories we use an Ornstein-Uhlenbeck coloured noise as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, we show that our non-Markovian stochastic Schrödinger equations unravel some master equations with memory kernels.
18 pages
References in corpus (6)
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Structure of completely positive quantum master equations with memory kernel
- Pure-state quantum trajectories for general non-Markovian systems do not exist
- Lindblad rate equations
- Non-Markovian continuous quantum measurement of retarded observables
- Stochastic Schrödinger equations with coloured noise