Non-Gaussian nature and entanglement of spontaneous parametric nondegenerate triple-photon generation

Da Zhang, Yin Cai, Zhan Zheng, David Barral, Yanpeng Zhang, Min Xiao, and Kamel Bencheikh

Phys. Rev. A 103, 013704 – Published 6 January 2021

Abstract

We theoretically demonstrate through numerical methods that the triple-photon state generated by three-photon spontaneous parametric down-conversion is a non-Gaussian Greenberger-Horne-Zeilinger state, showing super-Gaussian statistics. Interestingly, the degree of entanglement between the modes of the triple-photon state is stronger than that corresponding to the two-mode squeezed vacuum state produced by a quadratic Hamiltonian with the same parameters. Furthermore, we propose a model to prepare two-mode sub-Gaussian entangled states with a tunable negative Wigner function based on quadrature projection measurements. We find that these Gaussian projection measurements with outcomes $X \geq 1$ not only improve the entanglement of the residual two modes but also introduce a Gaussian component, resulting in the coexistence of Gaussian and non-Gaussian entanglement.

Received 25 April 2020
Accepted 11 December 2020

DOI:https://doi.org/10.1103/PhysRevA.103.013704

Physics Subject Headings (PhySH)

Entanglement production Photon pairs & parametric down-conversion Quantum computation Quantum optics

Atomic, Molecular & Optical

Authors & Affiliations

Da Zhang^1,2, Yin Cai^1,*, Zhan Zheng³, David Barral², Yanpeng Zhang ^1,†, Min Xiao^4,5, and Kamel Bencheikh ^2,‡

¹Key Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China
²Centre de Nanosciences et de Nanotechnologies, CNRS/Université Paris-Saclay, 91120 Palaiseau, France
³Zhejiang Provincial Key Laboratory of Quantum Precision Measurement, College of Science, Zhejiang University of Technology, Hangzhou 310023, China
⁴Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701, USA
⁵National Laboratory of Solid State Microstructures and School of Physics, Nanjing University, Nanjing 210093, China

^*caiyin@xjtu.edu.cn
^†ypzhang@mail.xjtu.edu.cn
^‡kamel.bencheikh@c2n.upsaclay.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 103, Iss. 1 — January 2021

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review A

covering atomic, molecular, and optical physics and quantum information