Continuous-variable Bell nonlocality with biphotons produced by spontaneous parametric down-conversion

Author(s)

Araujo, Jonas B. ; da Paz, I. G. ; Costa, Helder A. S. ; Vieira, Carlos H. S. ; Sampaio, Marcos

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 101, n. 4, p. 11-pg., 2020-04-01.

Abstract

We revisit a continuous-variable version of the Clauser-Horne-Shimony-Holt inequality with sign binning, first proposed by Bell [J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, 1st ed. (Cambridge University, New York, 1987); Ann. N.Y. Acad. Sci. 480, 263 (1986)]. To explore Bell nonlocality, we use a biphoton effective wave function resulting from a type-I spontaneous parametric down-conversion process. After reviewing the approximations involved in the production and time evolution of such biphotons, we judiciously choose a series expansion for the sinc function part of the biphoton wave function in order to integrate the Wigner function. We conclude that we can qualitatively achieve Bell nonlocality within a regime in which the twin photons are described. (AU)

• FAPESP's process: 18/05948-6 - Perturbative and nonperturbative aspects of quantum field theory and relativistic quantum information
• Grantee: Marcos Donizeti Rodrigues Sampaio
• Support Opportunities: Scholarships abroad - Research