Towards Optomechanical Quantum State Reconstruction of Mechanical Motion

Abstract

Utilizing the tools of quantum optics to prepare and manipulate quantum states of motion of a mechanical resonator is currently one of the most promising routes to explore non-classicality at a macroscopic scale. An important quantum optomechanical tool yet to be experimentally demonstrated is the ability to perform complete quantum state reconstruction. Here, after providing a brief introduction to quantum states in phase space, we review and contrast the current proposals for state reconstruction of mechanical motional states and discuss experimental progress. Furthermore, we show that mechanical quadrature tomography using back-action-evading interactions gives an $s$-parameterized Wigner function where the numerical parameter $s$ is directly related to the optomechanical measurement strength. We also discuss the effects of classical noise in the optical probe for both state reconstruction and state preparation by measurement.

Published in the Annalen der Physik special issue: Quantum and Hybrid Mechanical Systems edited by Harris, Rabl, and Schliesser (11 pages, 2 figures, close to published version)

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• Circuit cavity electromechanics in the strong coupling regime
• Generation of a superposition of odd photon number states for quantum information networks
• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols
• Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
• Generating superposition of up-to three photons for continuous variable quantum information processing
• Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
• Nanomechanical squeezing with detection via a microwave cavity
• Quantum State Orthogonalization and a Toolset for Quantum Optomechanical Phonon Control
• Macroscopic tunneling of a membrane in an optomechanical double-well potential
• Backaction noise produced via cavity-aided nondemolition measurement of an atomic clock state
• Input-output Gaussian channels: theory and application

Cited by in corpus (5)

• Enhancement of mechanical effects of single photons in modulated two-mode optomechanics
• Mechanical entanglement detection in an optomechanical system
• Distributing entangled state using quantum repeater protocol: Trapped atomic ions in optomechanical cavities
• Unified framework to determine Gaussian states in continuous variable systems
• Time Resolved Phase Space Tomography of an Optomechanical Cavity