纳米力学共振腔的双模压缩态研究  

Two-Mode Squeezed State of Nanomechanical Resonators

作　　者：范瑞琴[1] 羊红光[2] 白志明[2] 

机构地区：[1]石家庄铁道学院数理系,石家庄050043 [2]河北科技大学理学院,石家庄050018

出　　处：《应用数学和力学》2009年第9期1085-1090,共6页Applied Mathematics and Mechanics

基　　金：河北省自然科学基金资助项目(A200600029);河北省科技攻关资助项目(06547003D-1)

摘　　要：引入了一个方便的控制和测量纳米力学共振腔(NAMRs)的模型.在旋波近似下引入产生、湮灭算符,得到dc-SQUID的自由Hamilton量和dc-SQUID与两个纳米力学共振腔之间的相互作用Hamilton量.在Heisenberg表象下,把dc-SQUID的模看作一个经典场,采用共同坐标算符和动量算符发现两个纳米力学共振腔的双模会产生压缩态.A flexible model for the control and measurement of NAMRs was introduced. 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 were obtained. The mode of the dc- SQUID as a classical flied can be treated. In the Heisenberg picture, the generation of two-mode squeezed states of two nanomechanical resonators is shown by their collective coordinate and momenturn operators.

关 键 词：力学共振腔 双模 压缩态 

分 类 号：O413.1[理学—理论物理]