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Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
ID Rosenberg, E. (Author), ID Prosen, Tomaž (Author), et al.

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Abstract
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 This link opens in a new window
UDC:530.145
ISSN on article:0036-8075
DOI:10.1126/science.adi7877 This link opens in a new window
COBISS.SI-ID:191659011 This link opens in a new window
Publication date in RUL:08.04.2024
Views:428
Downloads:125
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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 This link opens in a new window

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

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