Thermalization dynamics in photonic lattices of different geometries

Fuente: arXiv
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Hauptverfasser: Yang, Guowen, Bongiovanni, Domenico, Song, Daohong, Morandotti, Roberto, Chen, Zhigang, Efremidis, Nikolaos K.
Format: Preprint
Veröffentlicht: 2024
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author Yang, Guowen
Bongiovanni, Domenico
Song, Daohong
Morandotti, Roberto
Chen, Zhigang
Efremidis, Nikolaos K.
author_facet Yang, Guowen
Bongiovanni, Domenico
Song, Daohong
Morandotti, Roberto
Chen, Zhigang
Efremidis, Nikolaos K.
contents The statistical mechanical behavior of weakly nonlinear multimoded optical settings is attracting increased interest during the last few years. The main purpose of this work is to numerically investigate the main factors that affect the thermalization process in photonic lattices. In particular, we find that lattices with identically selected properties (such as temperature, coupling coefficient, lattice size, and excitation conditions) can exhibit very different thermalization dynamics and thus thermalization distances. Our investigation is focused on two different two-dimensional lattices: the honeycomb lattice and the triangular lattice. Our numerical results show that, independently of the excitation conditions, the honeycomb lattice always thermalizes faster than the triangular lattice. We mainly explain this behavior to the quasilinear spectrum that promotes wave-mixing in the honeycomb lattice in comparison to the power-like spectrum of the triangular lattice. In addition, we investigate the combined effects of temperature as well as the sign and magnitude of the nonlinearity. Switching either the sign of the Kerr nonlinear coefficient or the sign of the temperature can lead to significant differences in the thermalization dynamics, a phenomenon that can be physically explained in terms of wave instabilities. Larger absolute values of the temperature |T| result in more uniform distributions for the power occupation numbers and faster thermalization speeds. Finally, as expected, increasing the magnitude of the nonlinearity results in accelerated thermalization. Our findings provide valuable insights into optical thermalization in discrete systems where experimental realization may bring about new possibilities for light manipulation and applications.
format Preprint
id arxiv_https___arxiv_org_abs_2406_05356
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Thermalization dynamics in photonic lattices of different geometries
Yang, Guowen
Bongiovanni, Domenico
Song, Daohong
Morandotti, Roberto
Chen, Zhigang
Efremidis, Nikolaos K.
Optics
The statistical mechanical behavior of weakly nonlinear multimoded optical settings is attracting increased interest during the last few years. The main purpose of this work is to numerically investigate the main factors that affect the thermalization process in photonic lattices. In particular, we find that lattices with identically selected properties (such as temperature, coupling coefficient, lattice size, and excitation conditions) can exhibit very different thermalization dynamics and thus thermalization distances. Our investigation is focused on two different two-dimensional lattices: the honeycomb lattice and the triangular lattice. Our numerical results show that, independently of the excitation conditions, the honeycomb lattice always thermalizes faster than the triangular lattice. We mainly explain this behavior to the quasilinear spectrum that promotes wave-mixing in the honeycomb lattice in comparison to the power-like spectrum of the triangular lattice. In addition, we investigate the combined effects of temperature as well as the sign and magnitude of the nonlinearity. Switching either the sign of the Kerr nonlinear coefficient or the sign of the temperature can lead to significant differences in the thermalization dynamics, a phenomenon that can be physically explained in terms of wave instabilities. Larger absolute values of the temperature |T| result in more uniform distributions for the power occupation numbers and faster thermalization speeds. Finally, as expected, increasing the magnitude of the nonlinearity results in accelerated thermalization. Our findings provide valuable insights into optical thermalization in discrete systems where experimental realization may bring about new possibilities for light manipulation and applications.
title Thermalization dynamics in photonic lattices of different geometries
topic Optics
url https://arxiv.org/abs/2406.05356