可积量子系统中的普适Kardar-Parisi-Zhang动力学
Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
摘要：
虽然自旋为1/2的海森堡模型的贝特解可以追溯到近一个世纪前，但其高温输运动力学的反常性质直到最近才被发现。事实上，数值和实验观察已经证明，这个范式模型中的自旋输运属于Kardar-Parisi-Zhang（KPZ）普适类。这激发了一个明显更强的猜想，即KPZ动力学实际上发生在所有具有非阿贝尔对称性的可积自旋链中。在这里，我们提供了大量的数值证据证实这一猜想。此外，我们观察到，KPZ运输是更通用的，产生在超对称和非对称驱动的模型。基于在碱土金属光晶格实验中实现SU（N）对称自旋模型的最新进展，我们提出并分析了一种直接研究这类系统中KPZ标度函数的方案.
英文摘要：
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.
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