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Entropy, purity and optical hysteresis in markovian optical modes
Optics Express
|March 17, 2021
Summary
Researchers synthesized novel optical modes using random Bessel beams structured by Markov chains. This approach models thermodynamic equilibrium, offering insights into optical system stability and coherence properties.
Area of Science:
- Optics and Photonics
- Quantum Optics
- Statistical Physics
Background:
- Partially coherent optical processes are crucial in understanding light-matter interactions.
- Thermodynamic equilibrium and system stability are fundamental concepts in physics.
- Bessel beams offer unique properties for optical field manipulation.
Purpose of the Study:
- To synthesize novel optical modes with random axial structures.
- To model thermodynamic equilibrium and optical system stability using Markov chains.
- To investigate the coherence and interference properties of these synthesized optical fields.
Main Methods:
- Synthesis of optical modes using a random tandem array of integer-order Bessel beams.
- Employing Markov-chain type fluctuations for array structure and random vectors for amplitude.
- Utilizing matrix representation for stochastic processes to incorporate entropy and purity calculations.
Main Results:
- Demonstrated the synthesis of optical fields for Markov-chain type Ehrenfest, modeling thermodynamic equilibrium.
- Established a link between optical system evolution, stability, and partially coherent processes.
- Showcased how coherence degree is distributed within the random vector components.
- Investigated interference between Markovian modes and identified indistinguishability in stable configurations.
Conclusions:
- The developed method provides a novel approach to synthesizing complex optical fields.
- The framework allows for the analysis of entropy and purity in optical systems.
- Stable configurations of Markovian modes exhibit non-conservative behavior and hysteresis, relevant for optical system dynamics.
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