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

TL;DR

This paper explores a bosonic SYK model with dissipation, revealing complex phase structures, symmetry breaking, and steady states influenced by environmental coupling, advancing understanding of open quantum many-body systems.

Contribution

It introduces a bosonic SYK-Lindbladian model analyzed via large-N techniques, uncovering new phases and the role of dissipation in stabilizing or destabilizing states.

Findings

Discovered symmetry-breaking phases influenced by dissipation

Identified multiple metastable states and phase transitions

Showed dissipation can stabilize certain steady states

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.