Exact solution of the Floquet-PXP cellular automaton

Wilkinson, Joseph W. P. (avtor), Klobas, Katja (avtor), Prosen, Tomaž (avtor), Garrahan, Juan P. (avtor)

We study the dynamics of a bulk deterministic Floquet model, the Rule 201 synchronous one-dimensional reversible cellular automaton (RCA201). The system corresponds to a deterministic, reversible, and discrete version of the PXP model, whereby a site flips only if both its nearest neighbors are unexcited. We show that the RCA201 (Floquet-PXP) model exhibits ballistic propagation of interacting quasiparticles—or solitons—corresponding to the domain walls between nontrivial threefold vacuum states. Starting from the quasiparticle picture, we find the exact matrix product state form of the nonequilibrium stationary state for a range of boundary conditions, including both periodic and stochastic. We discuss further implications of the integrability of the model.

• Jezik: Angleški jezik
• Ključne besede: nonequilibrium statistical mechanics
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 062107-1-062107-16
• Številčenje: Vol. 102, iss. 6
• PID: 20.500.12556/RUL-124297
• UDK: 536
• ISSN pri članku: 2470-0045
• DOI: 10.1103/PhysRevE.102.062107
• COBISS.SI-ID: 46993155
• Datum objave v RUL: 14.01.2021

WILKINSON, Joseph W. P., KLOBAS, Katja, PROSEN, Tomaž in GARRAHAN, Juan P., 2020, Exact solution of the Floquet-PXP cellular automaton. Physical review [na spletu]. 2020. Vol. 102, no. 6, p. 062107-1- 062107–16. [Dostopano 4 april 2025]. DOI 10.1103/PhysRevE.102.062107. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=124297

Gradivo je del revije

• Naslov: Physical review
• Skrajšan naslov: Phys. rev., E
• Založnik: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: neravnovesna 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