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PreprintCC BY 4.0HAL

Thermalization-induced self-polarization of temporally incoherent light: A nonequilibrium wave turbulence kinetic approach

Abstract

Conservative nonlinear waves generally undergo an irreversible process of thermalization toward the Rayleigh--Jeans (RJ) equilibrium state. Light thermalization has recently been experimentally investigated in the two-dimensional transverse spatial dynamics of multimode waveguides. Here, we consider the one-dimensional temporal dynamics of incoherent light propagating in a weakly birefringent single-mode fiber. We show that light thermalization is responsible for a self-polarization of the incoherent wave during its propagation. Within the framework of wave turbulence theory, we show that this phenomenon originates from a nonequilibrium process of adiabatic cooling: polarization fluctuations are continuously transferred toward the high-frequency tails of a local RJ equilibrium state, whose effective temperature decreases during propagation, thereby increasing the degree of light polarization. Moreover, in the absence of a high-frequency cut-off that would regularize the ultraviolet catastrophe in the temporal domain, the optical wave exhibits an ever-increasing degree of polarization, ultimately approaching unity. These results show that it is thermodynamically advantageous for the optical field to evolve toward a polarized state, which provides new insight into spontaneous self-organization phenomena in conservative Hamiltonian systems operating far from thermodynamic equilibrium.

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BibTeX
@misc{zanaglia2026thermalizationinduced,
  title = {{Thermalization-induced self-polarization of temporally incoherent light: A nonequilibrium wave turbulence kinetic approach}},
  author = {L. Zanaglia and J. Garnier and M. Ferraro and T. Torres and C. Michel and V. Doya and G. Millot and S. Wabnitz and I. Carusotto and Antonio Picozzi},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23061},
  eprint = {2610.23061},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05806235v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermalization-induced self-polarization of temporally incoherent light: A nonequilibrium wave turbulence kinetic approach
AU  - L. Zanaglia
AU  - J. Garnier
AU  - M. Ferraro
AU  - T. Torres
AU  - C. Michel
AU  - V. Doya
AU  - G. Millot
AU  - S. Wabnitz
AU  - I. Carusotto
AU  - Antonio Picozzi
PY  - 2026
DA  - 2026/10/16
PB  - HAL
DO  - 10.48550/arxiv.2610.23061
UR  - https://hal.science/hal-05806235v1
AB  - Conservative nonlinear waves generally undergo an irreversible process of thermalization toward the Rayleigh--Jeans (RJ) equilibrium state. Light thermalization has recently been experimentally investigated in the two-dimensional transverse spatial dynamics of multimode waveguides. Here, we consider the one-dimensional temporal dynamics of incoherent light propagating in a weakly birefringent single-mode fiber. We show that light thermalization is responsible for a self-polarization of the incoherent wave during its propagation. Within the framework of wave turbulence theory, we show that this phenomenon originates from a nonequilibrium process of adiabatic cooling: polarization fluctuations are continuously transferred toward the high-frequency tails of a local RJ equilibrium state, whose effective temperature decreases during propagation, thereby increasing the degree of light polarization. Moreover, in the absence of a high-frequency cut-off that would regularize the ultraviolet catastrophe in the temporal domain, the optical wave exhibits an ever-increasing degree of polarization, ultimately approaching unity. These results show that it is thermodynamically advantageous for the optical field to evolve toward a polarized state, which provides new insight into spontaneous self-organization phenomena in conservative Hamiltonian systems operating far from thermodynamic equilibrium.
ER  -