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

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

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.

• Jezik: Angleški jezik
• Ključne besede: quantum statistical mechanics
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2019
• Št. strani: Str. 210601-1-210601-6
• Številčenje: Vol. 123, iss. 21
• PID: 20.500.12556/RUL-113026
• UDK: 536.93
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.123.210601
• COBISS.SI-ID: 3389028
• Datum objave v RUL: 29.11.2019

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna statistična mehanika

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika