论文标题
随机场理论中量子混乱的发作
Onset of Quantum Chaos in Random Field Theories
论文作者
论文摘要
我们研究了与时空无关的疾病的量子Lyapunov指数$λ_l$。我们首先为$ n $型号的$ n $型号的两点功能提供了自洽方程，该产品在大$ n $上均与疾病相结合，从而概括了类似Syk的模型中出现的方程式。然后，我们研究疾病耦合是完全边缘变形的理论家族，使我们能够遵循$λ_l$从弱耦合到强耦合。我们发现有趣的行为，包括不连续的过渡到混乱，模仿古典KAM理论。
We study the quantum Lyapunov exponent $λ_L$ in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of $N$ models coupled by disorder at large $N$, generalizing the equations appearing in SYK-like models. We then study families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow $λ_L$ from weak to strong coupling. We find interesting behaviors, including a discontinuous transition into chaos, mimicking classical KAM theory.
