Statistical mechanics of weakly nonlinear optical multimode gases

Abstract

By utilizing notions from statistical mechanics, we develop a general and self-consistent theoretical framework capable of describing any weakly nonlinear optical multimode system involving conserved quantities. We derive the fundamental relations that govern the grand canonical ensemble through maximization of the Gibbs entropy at equilibrium. In this classical picture of statistical photo-mechanics, we obtain analytical expressions for the probability distribution, the grand partition function, and the relevant thermodynamic potentials. Our results universally apply to any other weakly nonlinear multimode bosonic system.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 17, 2020
Source ID
10.1364/ol.387863

Entities

People

  • Demetrios N. Christodoulides
  • F. O. Wu
  • K. G. Makris
  • Pawel S. Jung

Organizations

  • European Commission
  • Ministry of Science and Higher Education
  • National Science Foundation
  • Office of Naval Research

Tags

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.