发表机构
Perimeter Institute for Theoretical Physics; University of Maryland, College Park（Perimeter Institute for Theoretical Physics; 马里兰大学帕克分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过引导中心理论量子化，揭示量子霍尔类比霍金辐射实为类比安鲁辐射，其源于非对易平面上半平面电子的运动学约束。
AI 中文摘要
我们重新研究量子霍尔类比霍金辐射：占据半平面的电子费米海在四极电势作用下，会产生手性边缘模式的类比霍金辐射。我们表明，该现象可通过经典引导中心理论的量子化精确描述，其中电子的回旋运动被粗粒化，仅分辨漂移运动。量子动力学发生在非对易平面上，这要求半平面内局域的电子需沿边缘方向处处得到支撑。量子态的这一运动学约束直接导致辐射产生，该辐射沿边缘远离原点向两个方向传播。相对于实验室时间，该辐射为热辐射，实验室时间（差一常数因子）等于手性边缘模式传播的类比闵可夫斯基时空中的快度角，因此它实际对应类比安鲁辐射。
英文摘要
We revisit the quantum Hall analog of Hawking radiation in which a Fermi sea of electrons occupying half of a plane, subjected to a quadrupolar electric potential, gives rise to analog Hawking radiation of chiral edge modes. We show that the phenomenon is accurately captured by quantization of the classical guiding center theory, where the gyroscopic motion of the electrons is coarse grained and only the drift motion is resolved. The quantum dynamics takes place on a non-commutative plane, which requires an electron localized in the half-plane to be supported everywhere along the edge direction. This kinematical constraint on the quantum state leads directly to the radiation, which propagates in both directions away from the origin along the edge. The radiation is thermal with respect to laboratory time, which is equal (up to a constant factor) to the boost angle in the analog Minkowski spacetime in which the chiral edge modes propagate, so in fact it corresponds to analog Unruh radiation.
Comments18 pages, 1 figure; contribution to Festschrift for Gerard 't Hooft
Journal refInternational Journal of Modern Physics A 2026 41:26
