顺序寻址俘获离子ZZ相互作用的边界相位控制
Boundary-Phase Control of Sequentially Addressed Trapped-Ion ZZ Interactions
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中文总结 AI 辅助
研究顺序寻址俘获离子ZZ相互作用的边界相位控制，通过复振幅近共振描述、匹配包络相位和对比度控制、波形合成及简化自旋映射等方法，给出条件拉姆齐协议对比度预测，比较顺序控制与同时控制，提供可实验测试的控制资源。
中文摘要 AI 辅助
运动介导的俘获离子门通常对两个目标离子施加同步的状态依赖力。本文考虑互补设置，即一个寻址通道在目标之间交替，使它们的力窗口不重叠。在复振幅近共振描述中，每个窗口生成一个位移向量，不同离子上向量的有序辛积产生ZZ相位。通过实验交替寻址协议，设计匹配包络相位和对比度控制，区分边界相位响应与暗间隙中的闭合误差和残余力。波形合成抑制差分运动，简化自旋映射考虑多种因素。条件拉姆齐协议预测连续和重置对比度，顺序控制与独立校准同时控制有不同的归一化平方力作用。窗口间力正交参考为顺序俘获离子相互作用提供可实验测试的控制资源。
英文摘要
Motion-mediated trapped-ion interactions commonly coordinate state-dependent forces on both target ions. Sequential optical access reduces the number of concurrent target channels but makes the relative phase between disjoint force windows a control variable. We derive a complex near-resonant description in which each window generates a displacement vector and ordered symplectic products between vectors on different ions produce the ZZ phase. Only relative boundary phases affect this area; a common phase shift is a gauge transformation. Building on the experimental precedent for alternating single-ion addressing, we develop matched-envelope phase and contrast controls that isolate this boundary-phase dependence without target-window overlap or hidden force in the dark gaps. The analysis separates phase generation from differential closure, projector-common motion, deterministic local-Z phases, spectator coupling, and control-parameter transfer. A conditional-Ramsey sequence gives continuous and reset contrasts of 0.998 and 0.996, with a reset-induced phase separation of 0.581 rad modulo $π/2$. In the representative comparison, sequential control uses fewer concurrent target channels but greater normalized force action than independently calibrated simultaneous control. All results are model-level estimates within the stated Lamb-Dicke, rotating-wave, and apparatus-input limits.
