%0 Journal Article
%T Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
%A L. Pezze'
%A A. Smerzi
%J Physics
%D 2007
%I arXiv
%R 10.1103/PhysRevLett.100.073601
%X We show that the phase sensitivity $\Delta \theta$ 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 $\Delta \theta \sim 1/N_T$, where $N_T$ is the average number of particles of the input states. We also show that the Cramer-Rao lower bound, $\Delta \theta \propto 1/ \sqrt{|\alpha|^2 e^{2r} + \sinh^2r}$, can be saturated for arbitrary values of the squeezing parameter $r$ and the amplitude of the coherent mode $|\alpha|$ by a Bayesian phase inference protocol.
%U http://arxiv.org/abs/0705.4631v1