经典振子中的相位扩散与类兰姆移谱移
Phase Diffusion and Lamb-Shift-Like Spectrum Shift in Classical Oscillators
摘要：
自维持振荡器中产生振荡器谱线宽度的相位扩散本质上受非线性朗之万方程控制。在过去的40年里，该方程一直被线性近似处理，使得非线性的影响未知。在这里，我们解决了非线性朗之万方程使用微扰方法借用量子力学，并揭示了物理的非线性：较慢的相扩散（线宽变窄）和一个令人惊讶的振荡频率偏移，形式上对应于量子电动力学中的兰姆位移。
英文摘要：
The phase diffusion in a self-sustained oscillator, which produces oscillator's spectral linewidth, is inherently governed by a nonlinear Langevin equation. Over past 40 years, the equation has been treated with linear approximation, rendering the nonlinearity's effects unknown. Here we solve the nonlinear Langevin equation using the perturbation method borrowed from quantum mechanics, and reveal the physics of the nonlinearity: slower phase diffusion (linewidth narrowing) and a surprising oscillation frequency shift that formally corresponds to the Lamb shift in quantum electrodynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
