Correlations in photon-numbers and integrated intensities in parametric processes involving three optical fields
Department of Optics, Palacký University, 17.
listopadu 50, 772 07 Olomouc, Czech Republic
2 Joint Laboratory of Optics, Palacký University and Institute of Physics of Academy of Sciences of the Czech Republic, 17. listopadu 50, 77207 Olomouc, Czech Republic
3 National Laboratory for Ultrafast and Ultraintense Optical Science CNR-INFM, via Valleggio 11, 22100 Como, Italy
4 CNISM, U.d.R. Como, via Valleggio 11, 22100 Como, Italy
5 Department of Physics and Mathematics, University of Insubria, via Valleggio 11, 22100 Como, Italy
Corresponding author: a email@example.com
Revised: 16 March 2009
Published online: 1 May 2009
Two strongly-pumped parametric interactions are simultaneously realized in a single nonlinear crystal in order to generate three strongly correlated optical fields. By combining together the outputs of two of the three detectors measuring intensities of the generated fields, we obtain the joint photocount statistics between the single field and the sum of the other two. We apply a microscopic quantum theory developed earlier to determine the joint photon-number distribution and the joint quasi-distributions of integrated intensities and prove nonclassical nature of the three-mode state. Finally, by performing a conditional measurement on the single field, we obtain a state endowed with a sub-Poissonian statistics, as testified by the analysis of the conditional Fano factor. The role of quantum detection efficiencies in this conditional state-preparation method is discussed in detail.
PACS: 42.50.-p – Quantum optics / 42.50.Dv – Quantum state engineering and measurements / 42.50.Ar – Photon statistics and coherence theory / 03.65.Ud – Entanglement and quantum nonlocality
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009