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Statistical mechanics of weakly nonlinear optical multimode gases
Optics Letters
|April 3, 2020
Summary
This study introduces a statistical framework for nonlinear optical systems. It provides a general method to describe systems with conserved quantities using statistical mechanics principles.
Area of Science:
- Statistical Mechanics
- Nonlinear Optics
- Quantum Optics
Background:
- Weakly nonlinear optical multimode systems with conserved quantities present complex behavior.
- Existing theoretical frameworks may lack generality or self-consistency for such systems.
Purpose of the Study:
- To develop a general and self-consistent theoretical framework for weakly nonlinear optical multimode systems.
- To apply principles of statistical mechanics to describe these systems.
- To derive fundamental thermodynamic relations for optical systems.
Main Methods:
- Utilizing notions from statistical mechanics.
- Maximizing Gibbs entropy at equilibrium to derive relations for the grand canonical ensemble.
- Developing a classical picture of statistical photo-mechanics.
Main Results:
- Analytical expressions for probability distribution.
- Analytical expressions for the grand partition function.
- Analytical expressions for relevant thermodynamic potentials.
Conclusions:
- The developed framework is general and self-consistent.
- Results universally apply to any weakly nonlinear multimode bosonic system.
- Provides a new perspective on the statistical description of optical systems.
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