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. Olivares
Primo
;
S. Cialdi
Secondo
;
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.
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
1-nov-2018
Article (author)
File in questo prodotto:
File Dimensione Formato  
hg2gs2_accepted.pdf

Open Access dal 21/11/2019

Tipologia: Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione 3.53 MB
Formato Adobe PDF
3.53 MB Adobe PDF Visualizza/Apri
1-s2.0-S0030401818304905-main.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 1.23 MB
Formato Adobe PDF
1.23 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/579828
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 6
social impact