Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

Rosenberg, E. (author), Prosen, Tomaž (author)

Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the one-dimensional Heisenberg model were conjectured as to belong to the Kardar-Parisi-Zhang (KPZ) universality class based on the scaling of the infinite-temperature spin-spin correlation function. In a chain of 46 superconducting qubits, we studied the probability distribution of the magnetization transferred across the chain’s center, $P(\mathscr{M})$. The first two moments of $P(\mathscr{M})$ show superdiffusive behavior, a hallmark of KPZ universality. However, the third and fourth moments ruled out the KPZ conjecture and allow for evaluating other theories. Our results highlight the importance of studying higher moments in determining dynamic universality classes and provide insights into universal behavior in quantum systems.

• Language: English
• Keywords: quantum physics, transport phenomena, Heisenberg spin chains, statistical mechanics, magnetization
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication version: Author Accepted Manuscript
• Publication date: 04.04.2024
• Year: 2024
• Number of pages: Str. 48–53
• Numbering: Vol. 384, no. 6691
• PID: 20.500.12556/RUL-155596
• UDC: 530.145
• ISSN on article: 0036-8075
• DOI: 10.1126/science.adi7877
• COBISS.SI-ID: 191659011
• Publication date in RUL: 08.04.2024

Record is a part of a journal

• Title: Science
• Shortened title: Science
• Publisher: American Association for the Advancement of Science
• ISSN: 0036-8075
• COBISS.SI-ID: 2908687

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: kvantna fizika, transportni pojavi, Heisenbergove spinske verige, statistična mehanika, magnetizacija

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0402-2019
• Name: Matematična fizika