Quantum State Tomography in a Third-Order Integrated Optical Parametric Oscillator
Roger Alfredo K\"ogler, Gabriel Couto Rickli, Renato Ribeiro, Domeneguetti, Xingchen Ji, Alexander L. Gaeta, Michal Lipson, Marcelo, Martinelli, Paulo Nussenzveig

TL;DR
This paper reports on the measurement of quantum states in a third-order integrated optical parametric oscillator, highlighting the generation of squeezing and the challenges in achieving entanglement due to phase noise.
Contribution
It provides the first detailed covariance matrix measurement of an integrated third-order optical parametric oscillator operating above threshold, revealing the effects of phase noise on quantum correlations.
Findings
Observed up to 2.3 dB of amplitude difference squeezing
Inferred 4.9 dB of on-chip squeezing
Identified phase noise as a barrier to entanglement
Abstract
We measured the covariance matrix of the fields generated in an integrated third-order optical parametric oscillator operating above threshold. We observed up to dB of squeezing in amplitude difference, inferred dB of on-chip squeezing, while an excess of noise for the sum of conjugated quadratures hinders the entanglement. The degradation of amplitude correlations and state purity for the increasing of the pump power is consistent with the observed growth of the phase noise of the fields, showing the necessity of strategies for phase noise control aiming at entanglement generation in these systems.
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