Creation of a quantum oscillator by classical control

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dc.creatorDanilishin, Stefan
dc.creatorMüller-Ebhardt, Helge
dc.creatorRehbein, Henning
dc.creatorSomiya, Kentaro
dc.creatorSchnabel, Roman
dc.creatorDanzmann, Karsten
dc.creatorCorbitt, Thomas
dc.creatorWipf, Christopher
dc.creatorMavalvala, Nergis
dc.creatorChen, Yanbei
dc.date2008-09-11
dc.date2008-10-08
dc.date.accessioned2026-07-07T10:07:59Z
dc.date.available2026-07-07T10:07:59Z
dc.descriptionAs 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.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0809.2024
dc.identifierhttp://arxiv.org/abs/0809.2024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170841
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCreation of a quantum oscillator by classical control
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