Non-Gaussian continuous-variable entanglement and steering

Abstract

Two Kerr-squeezed optical beams can be combined in a beamsplitter to produce non-Gaussian continuous-variable entangled states. We characterize the non-Gaussian nature of the output by calculating the third-order cumulant of quadrature variables, and predict the level of entanglement that could be generated by evaluating the Duan-Simon and Reid Einstein-Podolsky-Rosen criteria. These states have the advantage over Gaussian states and non-Gaussian measurement schemes in that the well known, efficient and proven technology of homodyne detection may be used for their characterisation. A physical demonstration maintaining the important features of the model could be realised using two optical fibres, beamsplitters, and homodyne detection.

6 pages, 7 figures

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• Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard model
• Non-Gaussian entanglement in gravitating masses: the role of cumulants
• Quantum dynamics and entanglement in coherent transport of atomic population
• Dynamical Gaussian quantum steering in optomechanics
• Efficient Scheme for Perfect Collective Einstein-Podolsky-Rosen Steering
• Pseudo steady-state non-Gaussian EPR-steering of massive particles in pumped and damped Bose-Hubbard dimers
• A quantum correlated twin atom laser from a Bose-Hubbard system
• Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitter
• Quantum behaviour of open pumped and damped Bose-Hubbard trimers
• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage
• Creation of bipartite steering correlations by a fast damped auxiliary mode