Abstract
In this paper, we introduce a flexible model for the control and measurement of NAMRs (nanomechanical resonators). We obtain the free Hamiltonian of the dc-SQUID (direct current superconducting quantum interference device) and the interaction Hamiltonian between these two NAMRs and the dc-SQUID by introducing the annihilation and creation operators under the rotating wave approximation. We can treat the mode of the dc-SQUID as a classical field. In the Heisenberg picture, the generation of two-mode squeezed states of two nanomechanical resonators is shown by their collective coordinate and momentum operators.
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Communicated by Xing-ming GUO
Project supported by the Natural Science Foundation of Hebei Province (No. A2006000299) and Key Program of Science and Technolgy of Hebei Province (No. 06547003D-1)
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Fan, Rq., Yang, Hg. & Bai, Zm. Two-mode squeezed state of nanomechanical resonators. Appl. Math. Mech.-Engl. Ed. 30, 1161–1167 (2009). https://doi.org/10.1007/s10483-009-0910-y
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DOI: https://doi.org/10.1007/s10483-009-0910-y