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Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems by Ye, Bingtian; Machado, Francisco; Kemp, Jack; Hutson, Ross B.; Yao, Norman Y. is a scholarly article available to read on EtoBox.

What is Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems about?

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.

Author

Ye, Bingtian; Machado, Francisco; Kemp, Jack; Hutson, Ross B.; Yao, Norman Y.

Published

2022

Language

EN