标题： 非线性光学中的量子相变类比在压缩增强的LMG模型中 显示英文标题

标题： Nonlinear optical analogues of quantum phase transitions in a squeezing-enhanced LMG model

摘要： 我们研究了在增强的广义Lipkin-Meshkov-Glick (LMG)模型中量子相变的非线性光学类比，重点关注具有四方对称性的光纤中的激发态量子相变。 我们的分析揭示了一种新的压缩效应，即使没有线性旋转变像项，也能在偏振动力学中诱导经典分岔。 通过将非线性偏振动力学映射到广义LMG模型，我们建立了光频分岔与量子临界现象之间的直接对应关系，发现了类似于Berry相的几何规范结构。 这些发现突显了光学系统中经典和量子行为之间的相互作用，提供了一个研究量子多体物理的多功能平台，适用于量子计量和模拟的应用。 显示英文摘要

摘要： We investigate nonlinear optical analogues of quantum phase transitions within a squeezing-enhanced generalized Lipkin-Meshkov-Glick (LMG) model, focusing on excited-state quantum phase transitions in optical fibers with tetragonal symmetry. Our analysis reveals a novel squeezing effect that induces classical bifurcations in polarization dynamics, even without a linear rotor-like term. By mapping the nonlinear polarization dynamics to the generalized LMG model, we establish a direct correspondence between optical bifurcations and quantum critical phenomena, uncovering geometric gauge structures akin to Berry-like phases. These findings highlight the interplay between classical and quantum behaviors in optical systems, offering a versatile platform for studying quantum many-body physics with applications in quantum metrology and simulation.