Far-from-equilibrium universality in the two-dimensional Heisenberg model
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Joaquin F Rodriguez-Nieva
- Asier Pineiro Orioli
- Jamir Marino
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000854977600003&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1073/pnas.2122599119
- eISSN
- 1091-6490
- Externe Identifier
- Clarivate Analytics Document Solution ID: 4O8XQ
- PubMed Identifier: 35787047
- ISSN
- 0027-8424
- Ausgabe der Veröffentlichung
- 28
- Zeitschrift
- PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Schlüsselwörter
- universality
- spin dynamics
- self-similarity
- nonequilibrium
- Artikelnummer
- ARTN e2122599119
- Datum der Veröffentlichung
- 2022
- Status
- Published
- Titel
- Far-from-equilibrium universality in the two-dimensional Heisenberg model
- Sub types
- Article
- Ausgabe der Zeitschrift
- 119
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Abstract
- <jats:p>We characterize the universal far-from-equilibrium dynamics of the two-dimensional quantum Heisenberg magnet isolated from its environment. For a broad range of initial conditions, we find a long-lived universal prethermal regime characterized by self-similar behavior of spin–spin correlations. We analytically derive the spatial–temporal scaling exponents and find excellent agreement with numerics using phase space methods. The scaling exponents are insensitive to the choice of initial conditions, which include coherent and incoherent spin states with values of total magnetization and energy in a wide range. Compared to previously studied self-similar dynamics in nonequilibrium O(<jats:italic>n</jats:italic>) field theories and Bose gases, we find qualitatively distinct scaling behavior originating from the presence of spin modes that remain gapless at long times and are protected by the global SU(2) symmetry. Our predictions, which suggest a distinct nonequilibrium universality class from Bose gases and O(<jats:italic>n</jats:italic>) theories, are readily testable in ultracold atoms simulators of Heisenberg magnets.</jats:p>
- Autoren
- Joaquin F Rodriguez-Nieva
- Asier Piñeiro Orioli
- Jamir Marino
- DOI
- 10.1073/pnas.2122599119
- eISSN
- 1091-6490
- ISSN
- 0027-8424
- Ausgabe der Veröffentlichung
- 28
- Zeitschrift
- Proceedings of the National Academy of Sciences
- Sprache
- en
- Online publication date
- 2022
- Datum der Veröffentlichung
- 2022
- Status
- Published
- Herausgeber
- Proceedings of the National Academy of Sciences
- Herausgeber URL
- http://dx.doi.org/10.1073/pnas.2122599119
- Datum der Datenerfassung
- 2023
- Titel
- Far-from-equilibrium universality in the two-dimensional Heisenberg model
- Ausgabe der Zeitschrift
- 119
Datenquelle: Crossref
- Abstract
- We characterize the universal far-from-equilibrium dynamics of the two-dimensional quantum Heisenberg magnet isolated from its environment. For a broad range of initial conditions, we find a long-lived universal prethermal regime characterized by self-similar behavior of spin-spin correlations. We analytically derive the spatial-temporal scaling exponents and find excellent agreement with numerics using phase space methods. The scaling exponents are insensitive to the choice of initial conditions, which include coherent and incoherent spin states with values of total magnetization and energy in a wide range. Compared to previously studied self-similar dynamics in nonequilibrium O(<i>n</i>) field theories and Bose gases, we find qualitatively distinct scaling behavior originating from the presence of spin modes that remain gapless at long times and are protected by the global SU(2) symmetry. Our predictions, which suggest a distinct nonequilibrium universality class from Bose gases and O(<i>n</i>) theories, are readily testable in ultracold atoms simulators of Heisenberg magnets.
- Addresses
- Department of Physics, Stanford University, Stanford, CA 94305.
- Autoren
- Joaquin F Rodriguez-Nieva
- Asier Piñeiro Orioli
- Jamir Marino
- DOI
- 10.1073/pnas.2122599119
- eISSN
- 1091-6490
- Externe Identifier
- PubMed Identifier: 35787047
- PubMed Central ID: PMC9282433
- Funding acknowledgements
- National Science Foundation: NSF PHY-1748958
- National Science Foundation (NSF): NSF PHY-1748958
- Gordon and Betty Moore Foundation: GBMF4302
- Gordon and Betty Moore Foundation: GBMF8686
- Gordon and Betty Moore Foundation (GBMF): GBMF4302
- Gordon and Betty Moore Foundation (GBMF): GBMF8686
- Open access
- true
- ISSN
- 0027-8424
- Ausgabe der Veröffentlichung
- 28
- Zeitschrift
- Proceedings of the National Academy of Sciences of the United States of America
- Sprache
- eng
- Medium
- Print-Electronic
- Online publication date
- 2022
- Open access status
- Open Access
- Paginierung
- e2122599119
- Datum der Veröffentlichung
- 2022
- Status
- Published
- Publisher licence
- CC BY-NC-ND
- Datum der Datenerfassung
- 2022
- Titel
- Far-from-equilibrium universality in the two-dimensional Heisenberg model.
- Sub types
- research-article
- Journal Article
- Ausgabe der Zeitschrift
- 119
Files
https://europepmc.org/articles/PMC9282433?pdf=render
Datenquelle: Europe PubMed Central
- Abstract
- We characterize the universal far-from-equilibrium dynamics of the two-dimensional quantum Heisenberg magnet isolated from its environment. For a broad range of initial conditions, we find a long-lived universal prethermal regime characterized by self-similar behavior of spin-spin correlations. We analytically derive the spatial-temporal scaling exponents and find excellent agreement with numerics using phase space methods. The scaling exponents are insensitive to the choice of initial conditions, which include coherent and incoherent spin states with values of total magnetization and energy in a wide range. Compared to previously studied self-similar dynamics in nonequilibrium O(n) field theories and Bose gases, we find qualitatively distinct scaling behavior originating from the presence of spin modes that remain gapless at long times and are protected by the global SU(2) symmetry. Our predictions, which suggest a distinct nonequilibrium universality class from Bose gases and O(n) theories, are readily testable in ultracold atoms simulators of Heisenberg magnets.
- Autoren
- Joaquin F Rodriguez-Nieva
- Asier Piñeiro Orioli
- Jamir Marino
- Autoren-URL
- https://www.ncbi.nlm.nih.gov/pubmed/35787047
- DOI
- 10.1073/pnas.2122599119
- eISSN
- 1091-6490
- Externe Identifier
- PubMed Central ID: PMC9282433
- Funding acknowledgements
- Gordon and Betty Moore Foundation (GBMF): GBMF4302
- Gordon and Betty Moore Foundation (GBMF): GBMF8686
- National Science Foundation (NSF): NSF PHY-1748958
- Ausgabe der Veröffentlichung
- 28
- Zeitschrift
- Proc Natl Acad Sci U S A
- Schlüsselwörter
- nonequilibrium
- self-similarity
- spin dynamics
- universality
- Sprache
- eng
- Country
- United States
- Paginierung
- e2122599119
- Datum der Veröffentlichung
- 2022
- Status
- Published
- Titel
- Far-from-equilibrium universality in the two-dimensional Heisenberg model.
- Sub types
- Journal Article
- Ausgabe der Zeitschrift
- 119
Datenquelle: PubMed
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