Topological Superradiant Universality Classes in Cavity-Mediated Spin Chains
Abstract
Superradiant phase transitions are fundamental phenomena in light-matter coupled systems. Here, we uncover a novel class of superradiant criticality that is topologically distinct from previously known superradiant transitions. Using cavity-mediated cluster-Ising chains as an illustrative example, we numerically demonstrate that the critical line separating the superradiant phase from the cavity topological phase hosts robust symmetry-protected edge degeneracies, a feature absent in conventional superradiant transitions. Remarkably, although its local bulk critical properties are indistinguishable from those of the previously identified topologically trivial superradiant transition, the two criticalities cannot be smoothly connected without breaking the protecting symmetries or passing through a multicritical point. We further show that such topological superradiant criticality is generic, also occurring in cavity-mediated ℤn cluster-qudit chains, as supported by complementary lattice simulations.
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BibTeX
@misc{liu2026topological,
title = {{Topological Superradiant Universality Classes in Cavity-Mediated Spin Chains}},
author = {Yunhao Liu and Sheng Yang and Mingyuan Chen and Xue-Jia Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11495},
eprint = {2610.11495},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11495},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Topological Superradiant Universality Classes in Cavity-Mediated Spin Chains
AU - Yunhao Liu
AU - Sheng Yang
AU - Mingyuan Chen
AU - Xue-Jia Yu
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.11495
UR - https://arxiv.org/abs/2610.11495
AB - Superradiant phase transitions are fundamental phenomena in light-matter coupled systems. Here, we uncover a novel class of superradiant criticality that is topologically distinct from previously known superradiant transitions. Using cavity-mediated cluster-Ising chains as an illustrative example, we numerically demonstrate that the critical line separating the superradiant phase from the cavity topological phase hosts robust symmetry-protected edge degeneracies, a feature absent in conventional superradiant transitions. Remarkably, although its local bulk critical properties are indistinguishable from those of the previously identified topologically trivial superradiant transition, the two criticalities cannot be smoothly connected without breaking the protecting symmetries or passing through a multicritical point. We further show that such topological superradiant criticality is generic, also occurring in cavity-mediated ℤ_n^ cluster-qudit chains, as supported by complementary lattice simulations.
ER -