Third-Harmonic Down-Conversion Kerr Systems and Connectivity Phase Transitions
| When |
Nov 06, 2026
from 10:30 to 11:30 |
|---|---|
| Where | M7.101 |
| Contact Name | Pierre Delplace |
| Attendees |
Danh-Phuong Nguyen |
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Vendredi 6 Novembre 2026
Title: Third-Harmonic Down-Conversion Kerr Systems and Connectivity Phase Transitions
Danh-Phuong Nguyen ( University of Konstanz, Germany)
Abstract: Bosonic Kerr nonlinear systems driven by parametric pumping exhibit a rich variety of nonequilibrium steady states (NESSs). Recent work [Villa et al., Science Advances 11(33), eadt9311] introduced a graph topological index that classifies the variety of phases that manifest in these out-of-equilibrium systems. The index is based on the number of NESSs, their chirality, and the connectivity between them. In this talk, I introduce this topological invariant by studying a third-harmonic down-conversion process, which supports a richer phase structure than the conventional second-harmonic case. In the presence of noise, we investigate how changes in the connectivity of NESSs can be observed by the jump probability, exhibiting quantized values in the low-noise limit. Our results apply to a broad class of systems that can be described by Bose–Hubbard driven-dissipative Liouvillians.