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arXiv · 2511.02390

Symbolic Quantum-Trajectory Method for Multichannel Dicke Superradiance

Raphael Holzinger·Nico S. Bassler·Julian Lyne·Susanne F. Yelin·Claudiu Genes
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Abstract

We solve Dicke superradiance with two or more competing collective decay channels of tunable rates using a symbolic quantum-trajectory construction. The method yields closed time-domain populations and observables as finite combinations of exponential terms for arbitrary numbers of emitters and arbitrary decay rates. For two channels, the behavior of the stationary ground-state distribution resembles a first-order phase transition at the point where the channel-rate ratio is equal to unity. For balanced $d$-channel decay, we obtain scaling laws for the superradiant peak time and intensity. These results unify and extend single-channel Dicke dynamics to multilevel emitters and provide a compact tool for cavity and waveguide experiments, where permutation-symmetric reservoirs engineer multiple collective decay paths.

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Raphael Holzinger, Nico S. Bassler, Julian Lyne, Susanne F. Yelin, Claudiu Genes. 2025-11-04. Symbolic Quantum-Trajectory Method for Multichannel Dicke Superradiance. https://arxiv.org/abs/2511.02390

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