论文标题
可集成量子系统中的通用kardar-parisi-zhang动力学
Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
论文作者
论文摘要
尽管Spin-1/2 Heisenberg模型的Bethe Ansatz解决方案可以追溯到近一个世纪以来，但其高温运输动力学的异常本质才被发现。实际上，数值和实验性观察结果表明，该范式模型中的自旋转运落入Kardar-Parisi-Zhang（KPZ）通用性类别中。这启发了显着强烈的猜想，即KPZ动力学实际上发生在所有具有非亚洲对称性的综合自旋链中。在这里，我们提供了证实这一猜想的广泛数值证据。此外，我们观察到KPZ传输更加通用，在超对称和定期驱动的模型中产生。在基于碱 - 地球的光学晶格实验中SU（N） - 对称自旋模型实现的最新进展的推动下，我们提出和分析了一项方案，以直接研究此类系统中的KPZ缩放函数。
Although the Bethe ansatz solution of the spin-1/2 Heisenberg model dates back nearly a century, the anomalous nature of its high-temperature transport dynamics has only recently been uncovered. Indeed, numerical and experimental observations have demonstrated that spin transport in this paradigmatic model falls into the Kardar-Parisi-Zhang (KPZ) universality class. This has inspired the significantly stronger conjecture that KPZ dynamics, in fact, occur in all integrable spin chains with non-Abelian symmetry. Here, we provide extensive numerical evidence affirming this conjecture. Moreover, we observe that KPZ transport is even more generic, arising in both supersymmetric and periodically-driven models. Motivated by recent advances in the realization of SU(N)-symmetric spin models in alkaline-earth-based optical lattice experiments, we propose and analyze a protocol to directly investigate the KPZ scaling function in such systems.
