Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Schr\"odinger equations and memory   By starting from the stochastic Schr\"odinger 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
Schr\"odinger equations unravel some master equations with memory kernels.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat