The objective of this paper is to study the filtering problem for a system partially observable processes (X, Y), where X non-Markovian pure jump process representing signal and Y general diffusion which provides observations. Our model covers case both are not necessarily quasi left-continuous, allowing them at predictable stopping times. By introducing Markovian version signal, we able comput...

We utilize the novel non-Markovian quantum jump (NMQJ) approach to stochastically simulate exciton dynamics derived from a time-convolutionless master equation. For relevant parameters and time scales, the time-dependent, oscillatory decoherence rates can have negative regions, a signature of non-Markovian behavior and of the revival of coherences. This can lead to non-Markovian population beat...