Cooling a nanomechanical resonator using feedback: toward quantum behavior

Asa Hopkins; Kurt A. Jacobs; Salman Habib; Keith Schwab

doi:10.1117/12.522091

2 April 2004 Cooling a nanomechanical resonator using feedback: toward quantum behavior

Asa Hopkins, Kurt A. Jacobs, Salman Habib, Keith Schwab

Proceedings Volume 5276, Device and Process Technologies for MEMS, Microelectronics, and Photonics III; (2004) https://doi.org/10.1117/12.522091
Event: Microelectronics, MEMS, and Nanotechnology, 2003, Perth, Australia

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.

Citation Download 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, (2 April 2004); https://doi.org/10.1117/12.522091

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