Two-mode squeezed state of nanomechanical resonators |
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Authors: | Rui-qin Fan Hong-guang Yang Zhi-ming Bai |
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Institution: | 1. Department of Mathematics and Physics,Shijiazhuang Railway Institute,Shijiazhuang 050043,P.R.China 2. College of Science,Hebei University of Science and Technology,Shijiazhuang 050018,P.R.China |
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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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Keywords: | squeezed state two-mode mechanical resonator |
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