Pozsgay Balázs
MTA-BME Quantum Dynamics and Correlations Research Group, Department of Theoretical Physics, Budapest University of Technology and Economics, 1521 Budapest, Hungary.
Phys Rev Lett. 2020 Aug 14;125(7):070602. doi: 10.1103/PhysRevLett.125.070602.
Generalized hydrodynamics is a recent theory that describes the large scale transport properties of one dimensional integrable models. At the heart of this theory lies an exact quantum-classical correspondence, which states that the flows of the conserved quantities are essentially quasiclassical even in the interacting quantum many body models. We provide the algebraic background to this observation, by embedding the current operators of the integrable spin chains into the canonical framework of Yang-Baxter integrability. Our construction can be applied in a large variety of models including the XXZ spin chains, the Hubbard model, and even in models lacking particle conservation such as the XYZ chain. Regarding the XXZ chain we present a simplified proof of the recent exact results for the current mean values, and explain how their quasiclassical nature emerges from the exact computations.
广义流体动力学是一种描述一维可积模型大规模输运性质的新理论。该理论的核心是一种精确的量子 - 经典对应关系，即即使在相互作用的量子多体模型中，守恒量的流本质上也是准经典的。我们通过将可积自旋链的流算符嵌入到杨 - 巴克斯特可积性的规范框架中，为这一观察结果提供代数背景。我们的构造可应用于多种模型，包括XXZ自旋链、哈伯德模型，甚至是缺乏粒子守恒的模型，如XYZ链。关于XXZ链，我们给出了近期电流平均值精确结果的简化证明，并解释了它们的准经典性质是如何从精确计算中显现出来的。
