论文标题
复杂值的sachdev-ye-kitaev模型中的量子隧道动力学淬火与凉爽浴
Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
论文作者
论文摘要
Sachdev-Ye-Kitaev（SYK）模型描述了零空间尺寸中的相互作用的费米子零模式，例如量子点，相互作用足够强，可以在红外彻底清除准粒子激发。在本文中，我们考虑了初始温度$ t $的复杂价值SYK模型，而化学势$μ$ $ $ $ $ $ cOPLE QUEPTION QUENCE与大型储层，在时间时$ t = 0 $。储层保持在零温度和电荷中立性。我们发现SYK量子点的放电过程的动力学揭示了SYK非Fermi液体（NFL）状态的独特特征。特别是，我们专注于淬火引起的隧道电流。我们表明，在Syk NFL状态下，在低温下以$ t $线性的$ T $对温度的贡献，而对于费米液体来说，它将其缩放为$ t^2 $。
The Sachdev-Ye-Kitaev (SYK) model describes interacting fermionic zero modes in zero spatial dimensions, e.g. quantum dot, with interactions strong enough to completely washout quasiparticle excitations in the infrared. In this paper, we consider the complex-valued SYK model at initial temperature $T$ and chemical potential $μ$ coupled to a large reservoir by a quench at time $t=0$. The reservoir is kept at zero temperature and charge neutrality. We find that the dynamics of the discharging process of the SYK quantum dot reveals a distinctive characteristic of the SYK non-Fermi liquid (nFl) state. In particular, we focus on the tunneling current induced by the quench. We show that the temperature dependent contribution to the current's half-life scales linearly in $T$ at low temperatures for the SYK nFl state, while for the Fermi liquid it scales as $T^2$.
