Exact correlation functions for dual-unitary lattice models in 1 + 1 dimensions

Bertini, Bruno (author), Kos, Pavel (author), Prosen, Tomaž (author)

We consider a class of quantum lattice models in 1 + 1 dimensions represented as local quantum circuits that enjoy a particular dual-unitarity property. In essence, this property ensures that both the evolution in time and that in space are given in terms of unitary transfer matrices. We show that for this class of circuits, generically nonintegrable, one can compute explicitly all dynamical correlations of local observables. Our result is exact, nonpertubative, and holds for any dimension d of the local Hilbert space. In the minimal case of qubits (d=2) we also present a classification of all dual-unitary circuits which allows us to single out a number of distinct classes for the behavior of the dynamical correlations. We find noninteracting classes, where all correlations are preserved, the ergodic and mixing one, where all correlations decay, and, interestingly, also classes that are both interacting and nonergodic.

• Language: English
• Keywords: quantum statistical mechanics
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2019
• Number of pages: Str. 210601-1-210601-6
• Numbering: Vol. 123, iss. 21
• PID: 20.500.12556/RUL-113026
• UDC: 536.93
• ISSN on article: 0031-9007
• DOI: 10.1103/PhysRevLett.123.210601
• COBISS.SI-ID: 3389028
• Publication date in RUL: 29.11.2019

BERTINI, Bruno, KOS, Pavel and PROSEN, Tomaž, 2019, Exact correlation functions for dual-unitary lattice models in 1 + 1 dimensions. Physical review letters [online]. 2019. Vol. 123, no. 21, p. 210601-1-210601–6. [Accessed 23 April 2025]. DOI 10.1103/PhysRevLett.123.210601. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=113026

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

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0402
• Name: Matematična fizika