Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet

Ljubotina, Marko (author), Žnidarič, Marko (author), Prosen, Tomaž (author)

Equilibrium spatiotemporal correlation functions are central to understanding weak nonequilibrium physics. In certain local one-dimensional classical systems with three conservation laws they show universal features. Namely, fluctuations around ballistically propagating sound modes can be described by the celebrated Kardar-Parisi-Zhang (KPZ) universality class. Can such a universality class be found also in quantum systems? By unambiguously demonstrating that the KPZ scaling function describes magnetization dynamics in the SU(2) symmetric Heisenberg spin chain we show, for the first time, that this is so. We achieve that by introducing new theoretical and numerical tools, and make a puzzling observation that the conservation of energy does not seem to matter for the KPZ physics.

• Language: English
• Keywords: quantum statistical mechanics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2019
• Number of pages: Str. 210602-1-210602-6
• Numbering: Vol. 122, iss. 21
• PID: 20.500.12556/RUL-111523
• UDC: 536.93
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.122.210602
• COBISS.SI-ID: 3366756
• Publication date in RUL: 02.10.2019

Record is a part of a journal

• Title: Physical review letters
• Shortened title: Phys. rev. lett.
• Publisher: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Secondary language

• Language: Slovenian
• Keywords: kvantna statistična mehanika

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES