We present a detailed theoretical and experimental analysis of Engineered Swift Equilibration (ESE) protocols applied to two hydrodynamically coupled colloids in optical traps. The second particle disturbs slightly (10% at most) the response to an ESE compression applied to a single particle. This effect is quantitatively explained by a model of hydrodynamic coupling. Then we design a coupled ESE protocol for the two particles, allowing the perfect control of one target particle while the second is enslaved to the first. The calibration errors and the limitations of the model are finally discussed in detail.

中文翻译：

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工程快速平衡布朗粒子：流体动力耦合的结果

我们提出了工程化的快速平衡（ESE）协议的详细理论和实验分析，该协议适用于光阱中的两个水动力耦合胶体。第二个粒子对施加到单个粒子的ESE压缩的响应有轻微的干扰（最多10％）。通过流体动力耦合模型可以定量地解释这种影响。然后，我们为两个粒子设计了一个耦合的ESE协议，可以完美控制一个目标粒子，而第二个粒子则被奴役到第一个。最后详细讨论了校准误差和模型的局限性。