Rapid thermalization of spin chain commuting Hamiltonians
| dc.contributor.author | Bardet, Ivan | |
| dc.contributor.author | Capel, Angela | |
| dc.contributor.author | Gao, Li | |
| dc.contributor.author | Lucia, Angelo | |
| dc.contributor.author | Pérez García, David | |
| dc.contributor.author | Rouzé, Cambyse | |
| dc.date.accessioned | 2023-06-22T10:57:17Z | |
| dc.date.available | 2023-06-22T10:57:17Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. From a physical point of view, our result rigorously establishes the absence of dissipative phase transitions for Davies evolutions over translation-invariant spin chains. The result has also implications in the understanding of Symmetry Protected Topological phases for open quantum systems. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Instituto de Ciencias Matemáticas (ICMAT) | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.sponsorship | Unión Europea. Horizonte 2020 | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN) | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.sponsorship | ANR (Agence Nationale de la Recherche) | |
| dc.description.status | unpub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/74310 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/71934 | |
| dc.language.iso | eng | |
| dc.relation.projectID | GAPS (648913) | |
| dc.relation.projectID | (RYC2019-026475-I / AEI / 10.13039/501100011033) | |
| dc.relation.projectID | MTM2017-88385-P | |
| dc.relation.projectID | QUITEMAD-CM (P2018/TCS-4342) | |
| dc.relation.projectID | ESQuisses (ANR-20-CE47-0014-01) | |
| dc.relation.projectID | Fundación BBVA | |
| dc.rights | Atribución 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/es/ | |
| dc.subject.cdu | 51-73 | |
| dc.subject.cdu | 530.145 | |
| dc.subject.cdu | 531.19 | |
| dc.subject.keyword | Quantum Physics | |
| dc.subject.keyword | Statistical Mechanics | |
| dc.subject.keyword | Mathematical Physics | |
| dc.subject.ucm | Física matemática | |
| dc.title | Rapid thermalization of spin chain commuting Hamiltonians | |
| dc.type | journal article | |
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