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理论分析了单电子自旋与碳纳米管机械谐振器之间的耦合对系统动力学行为的影响.用一个主方程,通过半经典的方法具体研究了系统在有量子位-谐振器耦合和没有耦合时平均声子占有数随频率失谐的变化情况、在不同耦合强度时对比了系统在旋波近似和非旋波近似下平均声子占有数随频率失谐的变化情况.在有耦合的情况下,平均声子占有数在共振时,产生了一个分裂,而且在分裂峰值的附近出现了双稳态.通过对碳纳米管谐振器平均声子占有数的分析发现,旋波近似和非旋波近似在耦合强度较弱的情况下能够很好地吻合.当系统进入超强耦合时,旋波近似不再有效,此时非旋波项变得不可忽略.

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