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 sums of exponentials 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 -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.
Cite
@article{arxiv.2511.02390,
title = {Symbolic Quantum-Trajectory Method for Multichannel Dicke Superradiance},
author = {Raphael Holzinger and Nico S. Bassler and Julian Lyne and Susanne F. Yelin and Claudiu Genes},
journal= {arXiv preprint arXiv:2511.02390},
year = {2026}
}