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

TL;DR

This paper explores how nonlinear optical systems can mimic quantum phase transitions, revealing new squeezing effects and bifurcations that connect classical optical phenomena with quantum critical behavior.

Contribution

It introduces a novel squeezing-induced bifurcation mechanism in optical fibers modeled by a generalized LMG framework, linking classical optical dynamics to quantum phase transitions.

Findings

Discovery of a squeezing effect causing classical bifurcations

Establishment of a correspondence between optical bifurcations and quantum critical points

Identification of geometric gauge structures similar to Berry phases

Abstract

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.