Kibble-Zurek scaling from linear response theory
| dc.contributor.author | Nazé, Pierre | |
| dc.contributor.author | Bonança, Marcus V. S. | |
| dc.contributor.author | Deffner, Sebastian | |
| dc.date.accessioned | 2022-05-10T16:04:27Z | |
| dc.date.available | 2022-05-10T16:04:27Z | |
| dc.date.issued | 2022-05-10 | |
| dc.description.abstract | While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that capture the properties of thermodynamic phase transitions also apply in the quantum case. Concerning the crossing of thermodynamic critical points and describing its non-equilibrium dynamics, the Kibble-Zurek mechanism and linear response theory have been demonstrated to be among the very successful approaches. In the present work, we show that these two approaches are consistent also in the description of quantum phase transitions, and that linear response theory can even inform arguments of the Kibble-Zurek mechanism. In particular, we show that the relaxation time provided by linear response theory gives a rigorous argument for why to identify the "gap" as a relaxation rate, and we verify that the excess work computed from linear response theory exhibits Kibble-Zurek scaling. | en_US |
| dc.description.sponsorship | This work was financially supported by FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) (Brazil) (Grant No. 2018/06365-4, No. 2018/21285-7, and No. 2020/02170-4) and by CNPq (Conselho Nacional de Desenvolvimento Científico e Pesquisa) (Brazil) (Grant No. 141018/2017-8). S.D. acknowledges support from the U.S. National Science Foundation under Grant No. DMR-2010127. | en_US |
| dc.description.uri | https://www.mdpi.com/1099-4300/24/5/666 | en_US |
| dc.format.extent | 14 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/m2wstr-cgyn | |
| dc.identifier.citation | Nazé, Pierre, Marcus V. S. Bonança, and Sebastian Deffner. 2022. "Kibble–Zurek Scaling from Linear Response Theory" Entropy 24, no. 5: 666. https://doi.org/10.3390/e24050666 | |
| dc.identifier.uri | https://doi.org/10.3390/e24050666 | |
| dc.identifier.uri | http://hdl.handle.net/11603/24677 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | MDPI | |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en_US |
| dc.rights | Attribution 4.0 International (CC BY 4.0) | * |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
| dc.title | Kibble-Zurek scaling from linear response theory | en_US |
| dc.type | Text | en_US |
| dcterms.creator | https://orcid.org/0000-0003-0504-6932 | en_US |