Tripartite entanglement from interlinked ${\chi }^{(2)}$ parametric interactions

Abstract

We examine the tripartite entanglement properties of an optical system using interlinked ${\chi }^{(2)}$ interactions, recently studied experimentally in terms of its phase-matching properties by Bondani et al [M. Bondani, A. Allevi, E. Gevinti, A. Agliati, and A. Andreoni, arXiv:quant-ph/0604002.]. We show that the system does produce output modes which are genuinely tripartite entangled and that detection of this entanglement depends crucially on the correlation functions which are measured, with a three-mode Einstein-Podolsky-Rosen inequality being the most sensitive.

15 pages, 5 figures

References in corpus (11)

• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Detecting genuine multipartite continuous-variable entanglement
• Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables
• Experimental verification of a fully inseparable tripartite continuous-variable state
• Separability Properties of Three-mode Gaussian States
• Three-mode entanglement by interlinked nonlinear interactions in optical ${\chi }^{(2)}$ media
• Bright tripartite entanglement in triply concurrent parametric oscillation
• Harmonic entanglement with second-order non-linearity
• Continuous variable tripartite entanglement and Einstein-Podolsky-Rosen correlations from triple nonlinearities
• 3D phase-matching conditions for the generation of entangled triplets by chi(2) interlinked interactions

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• Entanglement properties of third harmonic generation via direct and cascaded parametric processes
• Generation of Multipartite Continuous-variable Entanglements via Atomic Spin Wave
• Dynamics of quantum light in integrated nonlinear waveguide arrays and generation of robust continuous variable entanglement
• Quantum correlations across two octaves from combined up and down conversion
• Tripartite correlations over two octaves from cascaded harmonic generation
• Spatial multipartite entanglement and localization of entanglement
• Tripartite and bipartite entanglement in continuous-variable tripartite systems
• Coherently prepared nondegenerate Y-shaped four-level correlated emission laser: A source of tripartite entangled light
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Observation of twin beam correlations and quadrature entanglement by frequency doubling in a two-port resonator
• Quantum behaviour of pumped and damped triangular Bose Hubbard systems
• The versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob