Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems,Physical Review Letters

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Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-30 , DOI: 10.1103/physrevlett.129.230602
Bingtian Ye _{1,

2} , Francisco Machado _{1,

3} , Jack Kemp ₁ , Ross B Hutson _{4,

5} , Norman Y Yao _{1,

2,

3}

Affiliation

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.

中文翻译：

可积量子系统中的通用 Kardar-Parisi-Zhang 动力学

尽管自旋的 Bethe ansatz 解

1个 / 2个

海森堡模型可以追溯到近一个世纪，其高温传输动力学的反常性质直到最近才被发现。事实上，数值和实验观察表明，该范式模型中的自旋输运属于 Kardar-Parisi-Zhang (KPZ) 普遍性类别。这激发了一个明显更强的猜想，即 KPZ 动力学实际上出现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来证实这一猜想。此外，我们观察到 KPZ 传输更为通用，出现在超对称和周期性驱动模型中。受最近在实现