Energy measurements and preparation of canonical phase states of a nano-mechanical resonatorK. Jacobs1, 2, A. N. Jordan3 and E. K. Irish4
1 Department of Physics, University of Massachusetts at Boston - 100 Morrissey Blvd, Boston, MA 02125, USA
2 Quantum Science and Technologies Group, Hearne Institute for Theoretical Physics, Louisiana State University 202 Nicholson Hall, Tower Drive, Baton Rouge, LA 70803, USA
3 Department of Physics and Astronomy, University of Rochester - Rochester, NY 14627, USA
4 School of Mathematics and Physics, Queens University Belfast - Belfast, BT7 1NN, UK, EU
received 17 September 2007; accepted in final form 15 February 2008; published April 2008
published online 12 March 2008
We show that a continuous quantum non-demolition measurement of the energy of a nanomechanical resonator can be achieved by monitoring the resonator with a single-electron transistor, or a quantum point contact, via a Cooper-pair box. This technique can further be used to prepare highly entangled states of two resonators, such as canonical phase reference states, and so-called noon states.
85.85.+j - Micro- and nano-electromechanical systems (MEMS/NEMS) and devices.
85.35.Gv - Single electron devices.
03.65.Ta - Foundations of quantum mechanics; measurement theory.
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