Quantum state reconstruction of an oscillator network in an optomechanical setting

Moore, Darren W.; Tufarelli, Tommaso; Paternostro, Mauro; Ferraro, Alessandro

Abstract

We introduce a scheme to reconstruct an arbitrary quantum state of a mechanical oscillator network. We assume that a single element of the network is coupled to a cavity field via a linearized optomechanical interaction, whose time dependence is controlled by a classical driving field. By designing a suitable interaction profile, we show how the statistics of an arbitrary mechanical quadrature can be encoded in the cavity field, which can then be measured. We discuss the important special case of Gaussian state reconstruction, and study numerically the effectiveness of our scheme for a finite number of measurements. Finally, we speculate on possible routes to extend our ideas to the regime of single-photon optomechanics.

Citation

Moore, D. W., Tufarelli, T., Paternostro, M., & Ferraro, A. (2016). Quantum state reconstruction of an oscillator network in an optomechanical setting. Physical Review A, 94(5), Article 053811. https://doi.org/10.1103/PhysRevA.94.053811

• Journal Article Type: Article
• Acceptance Date: Oct 10, 2016
• Publication Date: Nov 7, 2016
• Deposit Date: Jun 28, 2017
• Publicly Available Date: Jun 28, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 94
• Issue: 5
• Article Number: 053811
• DOI: https://doi.org/10.1103/PhysRevA.94.053811
• Public URL: https://nottingham-repository.worktribe.com/output/829796
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.053811
• Related Public URLs: https://arxiv.org/abs/1606.07007