Tripartite entanglement and threshold properties of coupled intracavity downconversion and sum-frequency generation

Abstract

The process of cascaded downconversion and sum-frequency generation inside an optical cavity has been predicted to be a potential source of three-mode continuous-variable entanglement. When the cavity is pumped by two fields, the threshold properties have been analysed, showing that these are more complicated than in well-known processes such as optical parametric oscillation. When there is only a single pumping field, the entanglement properties have been calculated using a linearised fluctuation analysis, but without any consideration of the threshold properties or critical operating points of the system. In this work we extend this analysis to demonstrate that the singly pumped system demonstrates a rich range of threshold behaviour when quantisation of the pump field is taken into account and that asymmetric polychromatic entanglement is available over a wide range of operational parameters.

arXiv comment24 pages, 15 figures

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Cited by in corpus (5)

• EPR paradox and quantum steering in a three-mode optomechanical system
• Optical frequency combs in quadratically nonlinear resonators
• Entanglement properties of third harmonic generation via direct and cascaded parametric processes
• Tripartite and bipartite entanglement in continuous-variable tripartite systems
• The versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob