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Published October 15, 2003 | Published + Submitted
Journal Article Open

Quantum measurement of a coupled nanomechanical resonator–Cooper-pair box system


We show two effects as a result of considering the second-order correction to the spectrum of a nanomechanical resonator electrostatically coupled to a Cooper-pair box. The spectrum of the Cooper-pair box is modified in a way which depends on the Fock state of the resonator. Similarly, the frequency of the resonator becomes dependent upon the state of the Cooper-pair box. We consider whether these frequency shifts could be utilized to prepare the nanomechanical resonator in a Fock state, to perform a quantum non-demolition measurement of the resonator Fock state, and to distinguish the phase states of the Cooper-pair box.

Additional Information

© 2003 The American Physical Society. Received 14 January 2003; revised manuscript received 18 June 2003; published 15 October 2003. We would like to acknowledge helpful conversations with Miles Blencowe, Andrew Armour, Nicholas Bigelow, Michael Wulf, Ivar Martin, Carlos Sanchez, Xuedong Hu, Sankar Das Sarma, Andrew Skinner, and Arthur Vandelay. This work was supported by the National Security Agency. E.K.I. acknowledges support from the National Physical Sciences Consortium.

Attached Files

Published - PhysRevB.68.155311.pdf

Submitted - 0301252.pdf


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August 19, 2023
October 18, 2023