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

• URL: http://arxiv.org/abs/2505.18618v1
• Date: Sat, 24 May 2025 09:55:44 GMT
• Title: Nonlinear optical analogues of quantum phase transitions in a squeezing-enhanced LMG model
• Authors: Chon-Fai Kam,
• Abstract summary: We study excited-state quantum phase transitions in optical fibers with tetragonal symmetry.<n>Our analysis reveals a novel squeezing effect that induces classical bifurcations in polarization dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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