路径积分与非线性光镊
Path integrals and nonlinear optical tweezers
摘要：
我们利用路径积分计算了在非线性光镊作用下，在过阻尼和欠阻尼两种情况下，粒子的关联函数的微扰修正。在这两种情况下，它被发现，以领先的阶非线性表现为系统的特征频率的变化。数值模拟的结果进行了比较。目前的计算，使一个直接的实验方法来访问的非线性光学陷阱参数，通过分析位置数据，类似于标准的谐波镊子。
英文摘要：
We use path integrals to calculate perturbative corrections to the correlation function of a particle under the action of nonlinear optical tweezers, both in the overdamped and underdamped regimes. In both cases, it is found that to leading order nonlinearities manifest as shifts in the characteristic frequency of the system. The results are compared to numerical simulations. The present calculations enable a direct experimental method to access the nonlinear optical trap parameters by analyzing position data, similarly to standard harmonic tweezers.
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