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

E. K. Irish and K. Schwab
Phys. Rev. B 68, 155311 – Published 15 October 2003
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Abstract

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.

  • Received 14 January 2003

DOI:https://doi.org/10.1103/PhysRevB.68.155311

©2003 American Physical Society

Authors & Affiliations

E. K. Irish1,2 and K. Schwab2,*

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA
  • 2Laboratory for Physical Sciences, 8050 Greenmead Drive, College Park, Maryland 20740, USA

  • *URL: http://www.lps.umd.edu; Electronic address: schwab@ lps.umd.edu

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Vol. 68, Iss. 15 — 15 October 2003

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