We investigate the Zeno dynamics of quantum chirps. More specifically, we analyze the Zeno dynamics of a chirped solitary wave solution of the non-dimensional nonlinear Schrodinger equation (NLSE) with a gain/loss term. We show that the motion of the quantum chirp can be inhibited by frequent measurements in the observation domain. In order to assess the effect of Zeno dynamics on the quantum chirp imaging resolution, we analyze and compare its point spread functions (PSF) under free evolution and under Zeno dynamics. Additionally, we investigate the effect of observation frequency on the quantum chirp profile as well as on its probability of lingering in the observation domain. Our results can be immediately used to investigate the signal properties of quantum chirps and their possible jamming properties by Zeno dynamics in quantum radar technology. Additionally, many potential applications in atomic physics and optics including nonlinear phenomena and chirps can be investigated using the approach presented in our paper.

中文翻译：

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量子啁啾的芝诺动力学

我们研究了量子啁啾的芝诺动力学。更具体地说，我们分析了具有增益/损耗项的无量纲非线性薛定谔方程 (NLSE) 的啁啾孤立波解的芝诺动力学。我们表明，可以通过观察域中的频繁测量来抑制量子啁啾的运动。为了评估芝诺动力学对量子啁啾成像分辨率的影响，我们分析和比较了自由演化和芝诺动力学下的点扩散函数（PSF）。此外，我们研究了观察频率对量子啁啾轮廓及其在观察域中逗留的概率的影响。我们的结果可以立即用于通过量子雷达技术中的芝诺动力学研究量子啁啾的信号特性及其可能的干扰特性。此外，可以使用我们论文中提出的方法研究原子物理和光学中的许多潜在应用，包括非线性现象和啁啾。