论文标题
量子湍流和普朗克散发
Quantum turbulence and Planckian dissipation
论文作者
论文摘要
普朗克耗散的概念扩展到了超导体和费米子超流体的涡旋核心中Caroli-De Gennes-Matricon离散能级的系统。在此扩展中，Planck耗散发生在放松时间$τ$与量子Heisenberg Time $ T_H = \ HBAR/δe$相媲美时进行耗散，其中$δe$是Vortex Core中的内部距离（Minigap）。这种类型的普朗克耗散有两个重要的物理后果。首先，当轴向异常的效果变得重要时，它决定了该机制。能量水平的异常光谱沿Caroli-de Gennes-Matricon状态在超级普兰克地区（即$τ<\ hbar/δe$时）变得很重要。其次，Planck耗散以$τ<\ hbar/δe$和$τ> \ hbar/ΔE$的涡流湍流状态将超氟液体的层流分开。
The notion of the Planckian dissipation is extended to the system of the Caroli-de Gennes-Matricon discrete energy levels in the vortex core of superconductors and fermionic superfluids. In this extension, the Planck dissipation takes place when the relaxation time $τ$ is comparable with the quantum Heisenberg time $t_H=\hbar/ΔE$, where $ΔE$ is the interlevel distance in the vortex core (the minigap). This type of Planck dissipation has two important physical consequences. First, it determines the regime, when the effect of the axial anomaly becomes important. The anomalous spectral flow of the energy levels along the chiral branch of the Caroli-de Gennes-Matricon states becomes important in the super-Planckian region, i.e. when $τ<\hbar/ΔE$. Second, the Planck dissipation separates the laminar flow of the superfluid liquid at $τ<\hbar/ΔE$ and the vortex turbulence regime at $τ>\hbar/ΔE$.
