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篇目详细内容 |
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【篇名】 |
Optimal phase sensitivity of atomic Ramsey interferometers with coherent spin states |
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【刊名】 |
Frontiers of Physics |
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【刊名缩写】 |
Front. Phys |
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【ISSN】 |
2095-0462 |
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【EISSN】 |
2095-0470 |
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【DOI】 |
10.1007/s11467-011-0180-5 |
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【出版社】 |
Higher Education Press and Springer-Verlag Berlin
Heidelberg |
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【出版年】 |
2011 |
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【卷期】 |
6
卷3期 |
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【页码】 |
251-257
页,共
7
页 |
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【作者】 |
Guang-ri JIN;
Yong-chun LIU;
Li YOU;
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【关键词】 |
Ramsey interferometry; phase estimation; Bose–Einstein condensates; phase decay; one-axis twisting model |
【摘要】 |
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We present a detailed analysis of phase sensitivity for a nonlinear Ramsey interferometer, which utilize effective mean-field interaction of a two-component Bose–Einstein condensate in phase accumulation. For large enough particle number N and small phase shift , analytical results of the Ramsey signal and the phase sensitivity are derived for a product coherent state . When collisional dephasing is absent, we confirm that the optimal sensitivity scales as 2/N3/2 for polar angle of the initial state θ = π/4 or 3π/4. The best-sensitivity phase satisfies different transcendental equations, depending upon the initial state and the observable being measured after the phase accumulation. In the presence of the collisional dephasing, we show that the N？3/2-scaling rule of the sensitivity maintains with spin operators and measurements. A slightly better sensitivity is attainable for optimal coherent state with θ = π/6 or 5π/6. |
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