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arXiv 0705.4631quant-phcond-mat.other
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相干光和压缩真空光在Heisenberg极限下的Mach-Zehnder干涉

Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light

L. Pezze', A. Smerzi

摘要:

我们证明了在一个输入端为相干态,另一个输入端为压缩真空的马赫-曾德尔干涉仪的相位灵敏度$Δθ$与相移的真实值无关,并且可以达到海森堡极限$Δθ\sim 1/N_T$,其中$N_T$是输入态的平均粒子数.我们还表明,Cramer-Rao下限,$Δθ\propto 1/ \sqrt{|α|^2 e^{2r} + \sinh^2r}$,可以饱和的任意值的压缩参数$r$和振幅的相干模式$|α|$的贝叶斯相位推断协议。

英文摘要:

We show that the phase sensitivity $Δθ$ of a Mach-Zehnder interferometer fed by a coherent state in one input port and squeezed-vacuum in the other one is i) independent from the true value of the phase shift and ii) can reach the Heisenberg limit $Δθ\sim 1/N_T$, where $N_T$ is the average number of particles of the input states. We also show that the Cramer-Rao lower bound, $Δθ\propto 1/ \sqrt{|α|^2 e^{2r} + \sinh^2r}$, can be saturated for arbitrary values of the squeezing parameter $r$ and the amplitude of the coherent mode $|α|$ by a Bayesian phase inference protocol.

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