Generating quantum entanglement between macroscopic objects with continuous measurement and feedback control

Abstract

This study is aimed at investigating the feasibility of generating quantum entanglement between macroscopic mechanical mirrors in optomechanical systems while under continuous measurement and feedback control. We carefully derive a covariance matrix for mechanical mirrors in a steady state, employing the Kalman filtering problem with an assumed dominant cavity photon dissipation, such that the common and differential modes of the mirrors are squeezed by the action of measuring the output light beams. We demonstrate that entanglement between the mechanical mirrors is generated when the states of the common and differential modes are squeezed with high purity in an asymmetric manner. Our results also show that quantum entanglement between $7$ mg mirrors is achievable in the short term.

20 pages, 10 figures

References in corpus (8)

• Optomechanical entanglement between a movable mirror and a cavity field
• A Spin Entanglement Witness for Quantum Gravity
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometry
• Optimal state estimation for cavity optomechanical systems
• Gravity-induced entanglement in optomechanical systems
• Quantum state preparation and macroscopic entanglement in gravitational-wave detectors

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• Effective description of a suspended mirror coupled to cavity light -Limitations of Q-enhancement due to normal mode splitting by an optical spring-
• Quantumness of gravitational field: A perspective on monogamy relation
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• Steady-state entanglement of interacting masses in free space through optimal feedback control
• True and apparent motion of optomechanical resonators, with applications to feedback cooling of gravitational wave detector test masses
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