Universality of light thermalization in multimoded nonlinear optical systems
Qi Zhonga, Fan O. Wua, Absar U. Hassana, Ramy El‐Ganainyb c d✉, Demetrios N. Christodoulidese f g✉
- aCREOL, College of Optics and Photonics, University of Central Florida, Orlando, FL, 32816, USA
- bDepartment of Physics, Michigan Technological University, Houghton, MI, 49931, USA. ganainy@mtu.edu
- cHenes Center for Quantum Phenomena, Michigan Technological University, Houghton, MI, 49931, USA. ganainy@mtu.edu
- dDepartment of Physics, Michigan Technological University, Houghton, MI, 49931, USA
- eCREOL, College of Optics and Photonics, University of Central Florida, Orlando, FL, 32816, USA. demetri@creol.ucf.edu
- fMing Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, 90089, USA. demetri@creol.ucf.edu
- gMing Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, 90089, USA
- ✉Corresponding author
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Abstract
Recent experimental studies in heavily multimoded nonlinear optical systems have demonstrated that the optical power evolves towards a Rayleigh–Jeans (RJ) equilibrium state. To interpret these results, the notion of wave turbulence founded on four-wave mixing models has been invoked. Quite recently, a different paradigm for dealing with this class of problems has emerged based on thermodynamic principles. In this formalism, the RJ distribution arises solely because of ergodicity. This suggests that the RJ distribution has a more general origin than was earlier thought. Here, we verify this universality hypothesis by investigating various nonlinear light-matter coupling effects in physically accessible multimode platforms. In all cases, we find that the system evolves towards a RJ equilibrium—even when the wave-mixing paradigm completely fails. These observations, not only support a thermodynamic/probabilistic interpretation of these results, but also provide the foundations to expand this thermodynamic formalism along other major disciplines in physics. The origin of the Rayleigh–Jeans distribution associated with light thermalization in optical thermodynamic multimode nonlinear settings is discussed. Here the authors show that due to entropy maximization, this process is universal and is independent of the intricacies of the nonlinearities involved.