Optimal Gaussian squeezed states for atom-interferometry in the presence of phase diffusion
| Autor: | Tikhonenkov, Igor, Moore, Michael G., Vardi, Amichay |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 82, 043624 (2010) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.82.043624 |
| Popis: | 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. {\bf 100}, 250406 (2008), with optimal initial number-variance $\sigma_o\propto N^{1/3}$ and optimal signal-to-noise ratio $s_o\propto N^{2/3}$ 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 {\it phase}-squeezing with $\sigma_o\propto\sqrt{uN}$ and $s_o\propto\sqrt{N/u}$ shot-noise scaling. The initial phase-squeezing translates into hold-time number-squeezing, which is less sensitive to interactions than coherent states and improves $s_o$ by a factor of $\sqrt{u}$. Comment: 8 pages, 6 figures |
| Databáze: | arXiv |
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