Homodyning the $g^{(2)}(0)$ of Gaussian states

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.

7 pages, 6 figures

References in corpus (11)

• Experimental realisation of quantum illumination
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Full characterization of Gaussian bipartite entangled states by a single homodyne detector
• Homodyne estimation of Gaussian quantum discord
• Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
• An effective method to estimate multidimensional Gaussian states
• Assessing the significance of fidelity as a figure of merit in quantum state reconstruction of discrete and continuous variable systems
• Characterizing photon number statistics using conjugate optical homodyne detection
• Quantumness of Gaussian Discord: Experimental Evidence and Role of System-Environment Correlations
• When heterodyning beats homodyning: an assessment with quadrature moments
• Gaussian states under coarse-grained continuous variable measurements

Cited by in corpus (5)

• Rényi Entropy Singularities as Signatures of Topological Criticality in Coupled Photon-Fermion Systems
• Measuring higher-order photon correlations of faint quantum light: a short review
• Quantum microwave parametric interferometer
• Novel technique for the active stabilization of the relative phase between seed and pump in an optical parametric oscillator
• Introduction to generation, manipulation and characterization of optical quantum states