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arXiv 1206.2265quant-ph
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非线性干涉仪的最佳测量精度

Optimal measurement precision of a nonlinear interferometer

Juha Javanainen, Han Chen

摘要:

本文研究了用一个含有玻色子的双阱作为干涉仪测量阱两侧原子的能量差时所能达到的最佳测量精度。我们引入了与时间无关的微扰理论作为分析和数值计算的主要工具。来自原子-原子相互作用的非线性将不会间接地允许干涉仪超过海森堡极限,但是在许多操作机制中,尽管增加了原子的隧穿和原子-原子相互作用,测量精度的海森堡极限标度仍然保持不变,通常甚至具有最佳前因子。

英文摘要:

We study the best attainable measurement precision when a double-well trap with bosons inside acts as an interferometer to measure the energy difference of the atoms on the two sides of the trap. We introduce time independent perturbation theory as the main tool in both analytical arguments and numerical computations. Nonlinearity from atom-atom interactions will not indirectly allow the interferometer to beat the Heisenberg limit, but in many regimes of the operation the Heisenberg limit scaling of measurement precision is preserved in spite of added tunneling of the atoms and atom-atom interactions, often even with the optimal prefactor.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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