玻色型Sachdev-Ye-Kitaev Lindbladian中的耗散动力学与对称性破缺
Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian
AI总结：
本文研究玻色型SYK模型与Lindbladian环境耦合下的耗散动力学，利用Schwinger-Keldysh路径积分揭示对称性破缺与相变，发现耗散可抑制倒置势不稳定性并产生新稳态相。
AI中文摘要：
我们研究了与Lindbladian环境耦合的Sachdev-Ye-Kitaev（SYK）模型的玻色子变体，重点关注量子多体动力学与耗散之间的相互作用。利用大N极限下的Schwinger-Keldysh路径积分形式，我们揭示了丰富的相结构，包括对称性破缺和相变。我们的结果表明，耗散可以部分抑制倒置势的不稳定性，从而产生新的稳态相。我们还识别了具有多个竞争鞍点的区域，并讨论了其对亚稳态景观的潜在影响。
英文摘要：
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.
