Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems
Abstract
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, in this letter, 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.
- Authors:
-
[1];
[2];
[3];
[4];
[5]
- Univ. of California, Berkeley, CA (United States); Harvard Univ., Cambridge, MA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
- Univ. of California, Berkeley, CA (United States)
- National Inst. of Standards and Technology (NIST), Boulder, CO (United States); Univ. of Colorado, Boulder, CO (United States)
- Univ. of California, Berkeley, CA (United States); Harvard Univ., Cambridge, MA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- US Army Research Office (ARO); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1963837
- Alternate Identifier(s):
- OSTI ID: 1901454
- Grant/Contract Number:
- AC02-05CH11231; SC0019241; W911NF2110262; KA2401032; FA9550-21-1-0069; desc0019380
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 129; Journal Issue: 23; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; nonequilibrium statistical mechanics; quantum statistical mechanics; quantum transport; atomic systems; lattice models in statistical physics; density matrix methods; integrable systems; Kardar-Parisi-Zhang equation; matrix product states
Citation Formats
Ye, Bingtian, Machado, Francisco, Kemp, Jack, Hutson, Ross B., and Yao, Norman Y. Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems. United States: N. p., 2022.
Web. doi:10.1103/physrevlett.129.230602.
Ye, Bingtian, Machado, Francisco, Kemp, Jack, Hutson, Ross B., & Yao, Norman Y. Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems. United States. https://doi.org/10.1103/physrevlett.129.230602
Ye, Bingtian, Machado, Francisco, Kemp, Jack, Hutson, Ross B., and Yao, Norman Y. Wed .
"Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems". United States. https://doi.org/10.1103/physrevlett.129.230602. https://www.osti.gov/servlets/purl/1963837.
@article{osti_1963837,
title = {Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems},
author = {Ye, Bingtian and Machado, Francisco and Kemp, Jack and Hutson, Ross B. and Yao, Norman Y.},
abstractNote = {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, in this letter, 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.},
doi = {10.1103/physrevlett.129.230602},
journal = {Physical Review Letters},
number = 23,
volume = 129,
place = {United States},
year = {Wed Nov 30 00:00:00 EST 2022},
month = {Wed Nov 30 00:00:00 EST 2022}
}
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