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  Creation of a quantum oscillator by classical control

Danilishin, S., Müller-Ebhardt, H., Rehbein, H., Somiya, K., Schnabel, R., Danzmann, K., et al. (2008). Creation of a quantum oscillator by classical control. Retrieved from http://arxiv.org/abs/0809.2024.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-46F6-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-46F8-4
Genre: Journal Article

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0809.2024v2.pdf (Preprint), 162KB
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 Creators:
Danilishin, Stefan1, 2, 3, Author
Müller-Ebhardt, Helge1, Author              
Rehbein, Henning1, Author              
Somiya, Kentaro1, Author              
Schnabel, Roman1, Author              
Danzmann, Karsten1, Author              
Corbitt, Thomas, Author
Wipf, Christopher, Author
Mavalvala, Nergis, Author
Chen, Yanbei3, Author              
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              
2AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24009              
3Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: As a pure quantum state is being approached via linear feedback, and the occupation number approaches and eventually goes below unity, optimal control becomes crucial. We obtain theoretically the optimal feedback controller that minimizes the uncertainty for a general linear measurement process, and show that even in the absence of classical noise, a pure quantum state is not always achievable via feedback. For Markovian measurements, the deviation from minimum Heisenberg Uncertainty is found to be closely related to the extent to which the device beats the free-mass Standard Quantum Limit for force measurement. We then specialize to optical Markovian measurements, and demonstrate that a slight modification to the usual input-output scheme -- either injecting frequency independent squeezed vacuum or making a homodyne detection at a non-phase quadrature -- allows controlled states of kilogram-scale mirrors in future LIGO interferometers to reach occupation numbers significantly below unity.

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 Dates: 2008-09-11
 Publication Status: Published in print
 Pages: -
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 Identifiers: eDoc: 424238
URI: http://arxiv.org/abs/0809.2024
 Degree: -

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