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

Fuente: arXiv
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Main Author: Kam, Chon-Fai
Format: Preprint
Published: 2025
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author Kam, Chon-Fai
author_facet Kam, Chon-Fai
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18618
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear optical analogues of quantum phase transitions in a squeezing-enhanced LMG model
Kam, Chon-Fai
Quantum Physics
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.
title Nonlinear optical analogues of quantum phase transitions in a squeezing-enhanced LMG model
topic Quantum Physics
url https://arxiv.org/abs/2505.18618