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arXiv · 2508.04802

Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian

Yifei Liu·Anish Kulkarni·Shinsei Ryu
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Abstract

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.

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Yifei Liu, Anish Kulkarni, Shinsei Ryu. 2025-08-06. Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian. https://arxiv.org/abs/2508.04802

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