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

Abstract

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.

Keywords

neravnovesna statistična mehanika;nonequilibrium statistical mechanics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536
COBISS: 46993155 Link will open in a new window
ISSN: 2470-0045
Views: 278
Downloads: 373
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Other data

Secondary language: Slovenian
Secondary keywords: neravnovesna statistična mehanika;
Pages: str. 062107-1-062107-16
Volume: ǂVol. ǂ102
Issue: ǂiss. ǂ6
Chronology: 2020
DOI: 10.1103/PhysRevE.102.062107
ID: 12383621