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快速生成计量相关的福克态混合态

Fast Generation of Metrologically Relevant Fock State Mixtures

Gonzalo Reina Rivero, Marcel Morillas-Rozas, Alberto López-García, Javier Cerrillo

arXiv 2607.24318首次发表:更新:

AI 中文总结

针对超越标准量子极限的位移计量,提出快速激光脉冲序列生成捕获离子运动的非热福克态混合态。利用极化子框架确定共振工作点,通过两次校准抑制残余不忠实度,数值模拟显示改进可保持制备误差并恢复费舍尔信息。

AI 中文摘要

我们提出了一种快速激光脉冲序列,用于生成捕获离子运动的非热福克态混合态,目标是超越标准量子极限的位移计量。利用离子 - 激光相互作用的极化子框架描述,我们确定了一个共振工作点——零失谐和与陷阱频率匹配的拉比频率,在该点选择性布居俘获在强驱动下仍能存在,实现了超越先前协议弱驱动极限的制备速度,且无需基态冷却。我们将大兰姆 - 迪克参数$\eta$下的残余不忠实度追溯到一个单一的相干过程,即旋转波近似中忽略的反向旋转蓝边带项,并表明通过两次常规校准可抑制它:脉冲持续时间的百分比级重新聚焦和小的补偿布洛赫 - 西格特失谐。完整序列的数值模拟表明,这种改进使制备误差在$\eta\approx0.5$时保持在或低于$10\%$水平,并恢复了未校正协议在强耦合时丢失的位移传感费舍尔信息,相对于标称序列最多可恢复9 dB。

英文摘要

We propose a fast laser pulse sequence for the generation of non-thermal Fock state mixtures of the motion of a trapped ion, targeted at displacement metrology beyond the standard quantum limit. Using a polaron-frame description of the ion-laser interaction, we identify a resonant operating point-zero detuning and a Rabi frequency matching the trap frequency-at which selective population trapping survives strong driving, enabling preparation speeds beyond the weak-driving limit of previous protocols without requiring ground-state cooling. We trace the residual infidelity at large Lamb-Dicke parameter $η$ to a single coherent process, the counter-rotating blue-sideband term neglected in the rotating-wave approximation, and show that it is suppressed by two routine calibrations: a percent-level refocusing of the pulse duration and a small compensating Bloch-Siegert detuning. Numerical simulations of the full sequence show that this refinement keeps the preparation error at or below the $10\%$ level up to $η\approx0.5$ and restores the displacement-sensing Fisher information that the uncorrected protocol loses at strong coupling, recovering up to 9 dB relative to the nominal sequence.

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