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Bulletin of the American Physical Society

Optomechanical Quantum State Tomography

Rishi N. Patel, Timothy P. McKenna, Zhaoyou Wang, Jeremy D. Witmer, Wentao Jiang, E. Alex Wollack, Christopher J. Sarabalis, Pieter-Jan Stas, Raphaël Van Laer, Amir H. Safavi‐Naeini

Published Mar 4, 2020• 0 citations
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We propose a protocol for quantum state tomography of nonclassical states in optomechanical systems. Using a parametric drive, the procedure overcomes the challenges of weak optomechanical coupling, poor detection efficiency, and thermal noise to enable high efficiency homodyne measurement. Our analysis is based on the analytic description of the generalized measurement that is performed when optomechanical position measurement competes with thermal noise and a parametric drive. The proposed experimental procedure is numerically simulated in realistic parameter regimes, which allows us to show that tomographic reconstruction of otherwise unverifiable nonclassical states is made possible.
We consider a generic optomechanical system and investigate quantum entanglement between the outgoing light fields and the mechanical motion of the mirror. In contract to traditional approach, we do not consider quantum correlations between the intracavity optical mode and the mechanical motion of a mirror, rather the correlations between the continuum of optical fields in the outgoing light wave and the mechanical degree of freedom. This entanglement is shown to be robust to thermal decoherence and depend on the ratio of measurement strength (light power) and decoherence rate ∝ T/Qm. Furthermore, we describe a feasible way to demonstrate quantum state steering, usinging time-variable homodyne detection scheme that allows to evade back-action. An intimate connection between optomechanical steerability and quantum state tomography [Phys. Rev. A 81, 012114 (2010)] is demonstrated.