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arXiv 0704.0960quant-ph
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纳米机械谐振腔压缩态的产生

Generating Squeezed States of Nanomechanical Resonator

Wen Yi Huo, Gui Lu Long

摘要:

提出了一种在由纳米机械谐振器(NMR)、超导库珀对盒(CPB)和超导传输线谐振器(STLR)组成的固态电路中产生压缩态的方案。NMR和STLR之间的非线性相互作用可以通过将CPB的外部偏置通量设置为特定值来实现。通过对组合系统的总哈密顿量进行Fr $\rm\ddot o$ hlich变换,导出了NMR和STLR之间的相互作用哈密顿量。只要将CPB保持在基态,我们就得到了标准的参量下转换哈密顿量。CPB扮演着“非线性介质”的角色,NMR的压缩态可以很容易地以类似于量子光学中三波混频的方式产生。这就是固态电路中的三波混频。

英文摘要:

We propose a scheme for generating squeezed states in solid state circuits consisting of a nanomechanical resonator (NMR), a superconducting Cooper-pair box (CPB) and a superconducting transmission line resonator (STLR). The nonlinear interaction between the NMR and the STLR can be implemented by setting the external biased flux of the CPB at certain values. The interaction Hamiltonian between the NMR and the STLR is derived by performing Fr$\rm\ddot o$hlich transformation on the total Hamiltonian of the combined system. Just by adiabatically keeping the CPB at the ground state, we get the standard parametric down-conversion Hamiltonian. The CPB plays the role of ``nonlinear media", and the squeezed states of the NMR can be easily generated in a manner similar to the three-wave mixing in quantum optics. This is the three-wave mixing in a solid-state circuit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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