Two-mode Schr\"odinger-cat states with nonlinear optomechanics: generation and verification of non-Gaussian mechanical entanglement

• URL: http://arxiv.org/abs/2109.08525v3
• Date: Wed, 1 Jun 2022 09:18:45 GMT
• Title: Two-mode Schr\"odinger-cat states with nonlinear optomechanics: generation and verification of non-Gaussian mechanical entanglement
• Authors: Lydia A. Kanari-Naish, Jack Clarke, Sofia Qvarfort, Michael R. Vanner
• Abstract summary: We introduce a pulsed approach that utilizes the nonlinearity of the radiation-pressure interaction combined with photon-counting measurements. We describe a protocol using subsequent pulsed interactions to verify the non-Gaussian entanglement generated. Our scheme offers significant potential for further research and development that utilizes such non-Gaussian states for quantum-information and sensing applications.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Cavity quantum optomechanics has emerged as a new platform for quantum science and technology with applications ranging from quantum-information processing to tests of the foundations of physics. Of crucial importance for optomechanics is the generation and verification of non-Gaussian states of motion and a key outstanding challenge is the observation of a canonical two-mode Schr\"odinger-cat state in the displacement of two mechanical oscillators. In this work, we introduce a pulsed approach that utilizes the nonlinearity of the radiation-pressure interaction combined with photon-counting measurements to generate this entangled non-Gaussian mechanical state, and, importantly, describe a protocol using subsequent pulsed interactions to verify the non-Gaussian entanglement generated. Our pulsed verification protocol allows quadrature moments of the two mechanical oscillators to be measured up to any finite order providing a toolset for experimental characterisation of bipartite mechanical quantum states and allowing a broad range of inseparability criteria to be evaluated. Key experimental factors, such as optical loss and open-system dynamics, are carefully analyzed and we show that the scheme is feasible with only minor improvements to current experiments that operate outside the resolved-sideband regime. Our scheme provides a new avenue for quantum experiments with entangled mechanical oscillators and offers significant potential for further research and development that utilizes such non-Gaussian states for quantum-information and sensing applications, and for studying the quantum-to-classical transition.

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