Symbolic Quantum-Trajectory Method for Multichannel Dicke Superradiance

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.

arXiv:2511.02390 [quant-ph]

(or arXiv:2511.02390v4 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2511.02390 Focus to learn more arXiv-issued DOI via DataCite

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