Monday, December 17, 2012

1212.3512 (Anita Dabrowska et al.)

A posterior quantum dynamics for a continuous diffusion observation of a
coherent channel
   [PDF]

Anita Dabrowska, Przemysław Staszewski
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.
View original: http://arxiv.org/abs/1212.3512

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