Two-mode squeezed state of nanomechanical resonators

作     者：范瑞琴 羊红光 白志明 

作者机构：Department of Mathematics and Physics Shijiazhuang Railway Institute College of Science Hebei University of Science and Technology 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2009年第30卷第9期

页      面：1161-1167页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Natural Science Foundation of Hebei Province (No. A2006000299) KeyProgram of Science and Technolgy of Hebei Province (No. 06547003D-1) 

主　　题：squeezed state two-mode mechanical resonator 

摘      要：In this paper, we introduce a flexible model for the control and measurement of NAMRs （nanomechanical resonators）. We obtain the free Hamiltonian of the dcSQUID （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.