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Physics > Optics
Title: Symmetry Breaking and Spatiotemporal Pattern Formation in Photonic Time Crystals
(Submitted on 25 Apr 2024)
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.
Submission history
From: Egor I. Kiselev [view email][v1] Thu, 25 Apr 2024 17:54:10 GMT (13689kb,D)
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