论文标题
临界费米表面的最大量子混乱
Maximal quantum chaos of the critical Fermi surface
论文作者
论文摘要
我们通过计算其超时相关函数，研究了非体液态液态的多体量子混乱。使用最近提出的大型$ n $理论，用于关键费米表面，以及GU和Kitaev的梯子身份，我们表明，混乱的Lyapunov指数的最大值为$2πk_bt/\ hbar $，其中$ t $是绝对温度。我们还研究了一个现象学模型，在该模型中，当恢复准粒子时，混乱指数变得小于最大值。
We investigate the many-body quantum chaos of non-Fermi liquid states with Fermi surfaces in two spatial dimensions by computing their out-of-time-order correlation functions. Using a recently proposed large $N$ theory for the critical Fermi surface, and the ladder identity of Gu and Kitaev, we show that the chaos Lyapunov exponent takes the maximal value of $2 πk_B T/\hbar$, where $T$ is the absolute temperature. We also examine a phenomenological model in which the chaos exponent becomes smaller than the maximal value precisely when quasiparticles are restored.
