Optimal Gaussian squeezed states for atom-interferometry in the presence of phase diffusion
نویسندگان
چکیده
We optimize the signal-to-noise ratio of a Mach-Zehnder atom interferometer with Gaussian squeezed input states, in the presence interactions. For weak interactions, our results coincide with Phys. Rev. Lett. 100, 250406 (2008), with optimal initial number-variance σo ∝ N and optimal signal-to-noise ratio so ∝ N for total atom number N . As the interaction strength u increases past unity, phase-diffusion becomes dominant, leading to a transition in the optimal squeezing from initial number-squeezing to initial phase-squeezing with σo ∝ √ uN and so ∝ √
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