We investigate a bosonic variant of the Sachdev-Ye-Kitaev (SYK) model coupled to a Lindbladian environment, focusing on the interplay between quantum many-body dynamics and dissipation. Using the Schwinger-Keldysh path integral formalism in the large-N limit, we uncover a rich phase structure, including symmetry breaking and phase transitions. Our results suggest that the dissipation can partially tame the instability of the inverted potential, leading to novel steady-state phases. We also identify regimes with multiple competing saddle points and discuss potential implications for the landscape of metastable states.
@article{arxiv.2508.04802,
title = {Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian},
author = {Yifei Liu and Anish Kulkarni and Shinsei Ryu},
journal= {arXiv preprint arXiv:2508.04802},
year = {2025}
}