标题： 不对称福科摆动力学与利普金-梅斯科夫-格利克量子相变及其他量子现象的类比 显示英文标题

标题： Asymmetric Foucault pendulum dynamics with analogies to the Lipkin-Meshkov-Glick quantum phase transitions and other quantum phenomena

摘要： 斯托克斯参数形式被应用于展示非对称傅科摆的运动与光学和原子物理中已知的几种现象之间的类比。 摆的椭圆轨道的非线性诱导进动被证明对应于用于原子系统自旋压缩的扭转变换。 非线性占主导地位的区域与科里奥利力或摆的不对称性占主导地位的区域之间的转换对应于利普金-梅斯科夫-格利克模型中的量子相变。 具有高度各向异性阻尼的傅科摆可以模拟光学芝诺效应，其中一系列偏振滤光片会抑制光在光学活性介质中的偏振旋转。 显示英文摘要

摘要： Stokes parameter formalism is applied to show the analogies between the motion of an asymmetric Foucault pendulum and several phenomena known from optics and atomic physics. Nonlinearity-induced precession of elliptical orbits of the pendulum is shown to correspond to twisting transformations used for spin squeezing of atomic systems. Transitions between regimes of predominant nonlinearity and regimes where the Coriolis force or the asymmetry of the pendulum are dominant correspond to quantum phase transitions in the Lipkin-Meshkov-Glick model. A Foucault pendulum with highly anisotropic damping can emulate an optical Zeno effect where a sequence of polarizing filters inhibits polarization rotation of light in an optically active medium.