[2404.16809] Symmetry Breaking and Spatiotemporal Pattern Formation in Photonic Time Crystals
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Physics > Optics

arXiv:2404.16809 (physics)
[Submitted on 25 Apr 2024]

Title:Symmetry Breaking and Spatiotemporal Pattern Formation in Photonic Time Crystals

Authors:Egor I. Kiselev, Yiming Pan
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Abstract:In this work, we explore the dynamics of time varying photonic media with an optical Kerr nonlinearity and an associated phase transition. The interplay between a periodically modulated permittivity and the nonlinearity induces a continuous transition of electromagnetic waves to a state with broken spatial and time translation symmetries. This transition gives rise to a lattice-like wave pattern, in many ways similar to a spatial crystallization in solids. Symmetry breaking triggers the emergence of soft, Goldstone-like modes, which propagate as deformations of the lattice structure, as well as massive Higgs-like modes - spatially uniform oscillations of the field amplitude. We extend the analysis of the non-equlibrium symmetry breaking to 2+1 dimensional time varying media and discuss pattern formation as well as the connection to discrete time crystals.
Subjects: Optics (physics.optics); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2404.16809 [physics.optics]
  (or arXiv:2404.16809v1 [physics.optics] for this version)
  https://doi.org/10.48550/arXiv.2404.16809

Submission history

From: Egor I. Kiselev [view email]
[v1] Thu, 25 Apr 2024 17:54:10 UTC (13,689 KB)
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