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

Olivares, Stefano;Cialdi, Simone;Paris, Matteo G. A.
2018-11-01

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.
Homodyne detection; nonclassical states; second order correlation function; electronic, optical and magnetic materials; atomic and molecular physics, and optics; physical and theoretical chemistry; electrical and electronic engineering
Settore FIS/03 - Fisica della Materia
OPTICS COMMUNICATIONS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/579828
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