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A Self-Consistent Quantum Field Theory for Random Lasing
Version 1
: Received: 8 June 2019 / Approved: 10 June 2019 / Online: 10 June 2019 (11:29:11 CEST)
A peer-reviewed article of this Preprint also exists.
Lubatsch, A.; Frank, R. A Self-Consistent Quantum Field Theory for Random Lasing. Applied Sciences 2019, 9, 2477, doi:10.3390/app9122477. Lubatsch, A.; Frank, R. A Self-Consistent Quantum Field Theory for Random Lasing. Applied Sciences 2019, 9, 2477, doi:10.3390/app9122477.
Abstract
The spatial formation of coherent random laser modes in strongly scattering disordered random media is a central feature in the understanding of the physics of random lasers. We derive a quantum field theoretical method for random lasing in disordered samples of complex amplifying Mie resonators which is able to provide self-consistently and free of any fit parameter the full set of transport characteristics at and above the laser phase transition. The coherence length and the correlation volume respectively is derived as an experimentally measurable scale of the phase transition at the laser threshold. We find that the process of stimulated emission in extended disordered arrangements of active Mie resonators is ultimately connected to time-reversal symmetric multiple scattering in the sense of photonic transport while the diffusion coefficient is finite. A power law is found for the random laser mode diameters in stationary state with increasing pump intensity.
Keywords
multiple scattering; random laser; quantum field theory; Mie resonance; plasmonics; polaritonics; semiconductors; complex systems
Subject
Physical Sciences, Condensed Matter Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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