Thermalization of light's orbital angular momentum in nonlinear multimode waveguide systems

Abstract

We show that the orbital angular momentum (OAM) of a light field can be thermalized in a nonlinear cylindrical multimode optical waveguide. We find, that upon thermal equilibrium, the maximization of the optical entropy leads to a generalized Rayleigh-Jeans distribution that governs the power modal occupancies with respect to the discrete OAM charge numbers. This distribution is characterized by a temperature that is by nature different from that associated with the longitudinal electromagnetic momentum flow of the optical field. Counterintuitively and in contrast to previous results, we demonstrate that even under positive temperatures, the ground state of the fiber is not always the most populated in terms of power. Instead, because of OAM, the thermalization processes may favor higher order modes. A new equation of state is derived along with an extended Euler equation -- resulting from the extensivity of the entropy itself. By monitoring the nonlinear interaction between two multimoded optical wavefronts with opposite spins, we show that the exchange of angular momentum is dictated by the difference in OAM temperatures, in full accord with the second law of thermodynamics. The theoretical analysis presented here is corroborated by numerical simulations that take into account the complex nonlinear dynamics of hundreds of modes. Our results may pave the way towards high power optical sources with controllable orbital angular momenta, and at a more fundamental level, could shed light on the physics of other complex multimoded nonlinear bosonic systems that display additional conservation laws.

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Cited by in corpus (10)

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• Interplay of thermalization and strong disorder: Wave turbulence theory, numerical simulations, and experiments in multimode optical fibers
• Nature of Optical Thermodynamic Pressure Exerted in Highly Multimoded Nonlinear Systems
• Observation of Joule-Thomson photon-gas expansion
• Rayleigh-Jeans thermalization vs beam cleaning in multimode optical fibers
• Dalton's law of partial optical thermodynamic pressures in highly multimoded nonlinear photonic systems
• Spatio-temporal thermalization and adiabatic cooling of guided light waves
• Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
• Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures