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Cooling a nanomechanical resonator using feedback: toward quantum behavior

Hopkins, Asa and Jacobs, Kurt A. and Habib, Salman and Schwab, Keith and Varadan, Vijay K. (2004) Cooling a nanomechanical resonator using feedback: toward quantum behavior. In: Device and Process Technologies for MEMS, Microelectronics, and Photonics III. Proceedings of SPIE. No.5276. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 173-183. ISBN 0-8194-5169-X. https://resolver.caltech.edu/CaltechAUTHORS:20160523-150508492

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Abstract

Nano-electro-mechanical devices are now rapidly approaching the point where it will be possible to observe quantum mechanical behavior. However, for such behavior to be visible it is necessary to reduce the thermal motion of these devices down to temperatures in the millikelvin range. Here we consider the use of feedback control for this purpose. We analyze an experimentally realizable situation in which the position of the resonator is continuously monitored by a Single-Electron Transistor. Because the resonator is harmonic, it is possible to use a classical description of the measurement process, and we discuss both the quantum and classical descriptions. Because of this the optimal feedback algorithm can be calculated using classical control theory. We examine the quantum state of the controlled oscillator, and the achievable effective temperature. Our estimates indicate that with current experimental technology, feedback cooling is likely to bring the required milliKelvin temperatures within reach.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1117/12.522091DOIArticle
http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=834652PublisherArticle
ORCID:
AuthorORCID
Schwab, Keith0000-0001-8216-4815
Additional Information:© 2004 SPIE.
Subject Keywords:Nano-electro-mechanics, quantum feedback control, quantum mechanics, continuous measurement, single-electron devices
Series Name:Proceedings of SPIE
Issue or Number:5276
Record Number:CaltechAUTHORS:20160523-150508492
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160523-150508492
Official Citation:Asa Hopkins ; Kurt A. Jacobs ; Salman Habib and Keith Schwab "Cooling a nanomechanical resonator using feedback: toward quantum behavior", Proc. SPIE 5276, Device and Process Technologies for MEMS, Microelectronics, and Photonics III, 173 (April 2, 2004); doi:10.1117/12.52209
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67264
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:23 May 2016 22:25
Last Modified:03 Oct 2019 10:04

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