A posterior quantum dynamics for a continuous diffusion observation of a coherent channel
Quantum Physics
2015-06-12 v1
Abstract
We present the Belavkin filtering equation for the intense balanced heterodyne detection in a unitary model of an indirect observation. The measuring apparatus modelled by a Bose field is initially prepared in a coherent state and the observed process is a diffusion one. We prove that this filtering equation is relaxing: any initial square-integrable function tends asymptotically to a coherent state with an amplitude depending on the coupling constant and the initial state of the apparatus. The time-development of a squeezed coherent state is studied and compared with the previous results obtained for the measuring apparatus prepared initially in the vacuum state.
Cite
@article{arxiv.1212.3512,
title = {A posterior quantum dynamics for a continuous diffusion observation of a coherent channel},
author = {Anita Dabrowska and Przemysław Staszewski},
journal= {arXiv preprint arXiv:1212.3512},
year = {2015}
}
Comments
16 pages, 2 figures, the final version is available on the OSA website