Realizing limit cycles in dissipative bosonic systems
Abstract
We propose a general mechanism for generating limit cycle (LC) oscillations by coupling a linear bosonic mode to a dissipative nonlinear bosonic mode. By analyzing the stability matrix, we show that LCs arise due to a supercritical Hopf bifurcation. We find that the existence of LCs is independent of the sign of the effective nonlinear interaction. The LC phase can be classified as a continuous time crystal (CTC), if it emerges in a many-body system. The bosonic model can be realised in three-level systems interacting with a quantised light mode as realised in atom-cavity systems. Using such a platform, we experimentally observe LCs for the first time in an atom-cavity system with attractive optical pump lattice, thereby confirming our theoretical predictions.
Cite
@article{arxiv.2401.05332,
title = {Realizing limit cycles in dissipative bosonic systems},
author = {Jim Skulte and Phatthamon Kongkhambut and Hans Keßler and Andreas Hemmerich and Ludwig Mathey and Jayson G. Cosme},
journal= {arXiv preprint arXiv:2401.05332},
year = {2024}
}