论文标题
带电SYK模型的不同阶段的热化
Thermalization in different phases of charged SYK model
论文作者
论文摘要
我们研究了两个不同阶段的带电SYK模型的热化。我们表明，高度混乱的液相和稀释液相热化。出乎意料的是，稀释气态即时热能。我们认为，这种现象之所以出现，是因为此阶段的系统仅由密度非常低的长寿命的准粒子组成。液态呈指数快速热量。我们还表明，随机质量变形（q = 2个术语）的附加引入会减慢热化，但系统呈指数速度热量。尽管添加了大Q = 2 SYK相互作用频谱统计来遵守Poisson统计，但仍观察到这一点。一个有趣的新观察结果是，有效温度在液态的热化过程中是非单调的。它在相对较长的时间内有一个颠簸，然后才能达到最终值。具有非零化学势，有效温度在沉降到最终值之前会明显振荡。
We study thermalization of charged SYK model in two different phases. We show that both the highly chaotic liquid phase and the dilute gas phase thermalize. Surprisingly the dilute gas state thermalizes instantaneously. We argue that this phenomenon arises because the system in this phase consists of only long-lived quasi-particles at very low density. The liquid state thermalizes exponentially fast. We also show that the additional introduction of random mass deformation (q=2 SYK term) slows down thermalization but the system thermalizes exponentially fast. This is observed despite the fact that the addition of large q=2 SYK interaction forces spectral statistics to obey Poisson statistics. An interesting new observation is that the effective temperature is non-monotonic during thermalization in the liquid state. It has a bump at relatively long time before settling down to the final value. With non-zero chemical potential, the effective temperature oscillates noticeably before settling down to the final value.
