论文标题
Floquet和当地汉密尔顿淬火动力学的晶格上的鹰辐射
Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics
论文作者
论文摘要
我们构建了两个展示霍金对创建的免费费米恩晶格模型。具体而言，我们考虑了d = 1+1的无质量的dirac fermion的最简单情况，可以用均匀真空状态的淬灭，并具有与非均匀的汉密尔顿式的淬火，以相反的chirality接口。对于我们的这两个模型，我们都会发现，晶格离散化引起的其他模式起着至关重要的作用，因为它们为霍金辐射提供了散装的水库：霍金对从费米海中深处的费米子出来，从有效的黑洞地平线上散发出来。我们的第一个模型将局部跳跃动力学与一个晶格站点上的翻译结合在一起，我们发现所得的浮动动力学实现了因果地平线，费米子从地平线外部的区域散射。对于我们的第二个模型，它依靠纯粹的当地跳跃汉密尔顿人，我们发现费米子从内部散布。在这两种情况下，对于鹰式温度，直到晶格间距为止，我们从数值上发现所得的鹰派频谱与费米 - 迪拉克量子量子场理论预测完全吻合。
We construct two free fermion lattice models exhibiting Hawking pair creation. Specifically, we consider the simplest case of a d=1+1 massless Dirac fermion, for which the Hawking effect can be understood in terms of a quench of the uniform vacuum state with a non-uniform Hamiltonian that interfaces modes with opposite chirality. For both our models we find that additional modes arising from the lattice discretization play a crucial role, as they provide the bulk reservoir for the Hawking radiation: the Hawking pairs emerge from fermions deep inside the Fermi sea scattering off the effective black hole horizon. Our first model combines local hopping dynamics with a translation over one lattice site, and we find the resulting Floquet dynamics to realize a causal horizon, with fermions scattering from the region outside the horizon. For our second model, which relies on a purely local hopping Hamiltonian, we find the fermions to scatter from the inside. In both cases, for Hawking temperatures up to the inverse lattice spacing we numerically find the resulting Hawking spectrum to be in perfect agreement with the Fermi-Dirac quantum field theory prediction.
