We suggest a method to reconstruct the zero-delay-time second-order correlation function g(2)(0) of Gaussian states using a single homodyne detector. To this purpose, we have found an analytic expression of g(2)(0) for single- and two-mode Gaussian states in terms of the elements of their covariance matrix and the displacement amplitude. In the single-mode case we demonstrate our scheme experimentally, and also show that when the input state is nonclassical, there exist a threshold value of the coherent amplitude, and a range of values of the complex squeezing parameter, above which g(2)(0)<1. For amplitude squeezing and real coherent amplitude, the threshold turns out to be a necessary and sufficient condition for the nonclassicality of the state. Analogous results hold also for two-mode squeezed thermal states.
Homodyning the g(2)(0) of Gaussian states / S. Olivares, S. Cialdi, M.G.A. Paris. - In: OPTICS COMMUNICATIONS. - ISSN 0030-4018. - 426(2018 Nov 01), pp. 547-552. [10.1016/j.optcom.2018.05.090]
Homodyning the g(2)(0) of Gaussian states
S. OlivaresPrimo
;S. CialdiSecondo
;M.G.A. Paris
Ultimo
2018
Abstract
We suggest a method to reconstruct the zero-delay-time second-order correlation function g(2)(0) of Gaussian states using a single homodyne detector. To this purpose, we have found an analytic expression of g(2)(0) for single- and two-mode Gaussian states in terms of the elements of their covariance matrix and the displacement amplitude. In the single-mode case we demonstrate our scheme experimentally, and also show that when the input state is nonclassical, there exist a threshold value of the coherent amplitude, and a range of values of the complex squeezing parameter, above which g(2)(0)<1. For amplitude squeezing and real coherent amplitude, the threshold turns out to be a necessary and sufficient condition for the nonclassicality of the state. Analogous results hold also for two-mode squeezed thermal states.File | Dimensione | Formato | |
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