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Exact solution of the Floquet-PXP cellular automaton | | Joseph W. P. Wilkinson
; Katja Klobas
; Tomaž Prosen
; Juan P. Garrahan
; | | Date: |
11 Jun 2020 | | 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 neighbours are unexcited.
We show that the RCA201/Floquet-PXP model exhibits ballistic propagation of
interacting quasiparticles - or solitons - corresponding to the domain walls
between non-trivial three-fold vacuum states. Starting from the quasiparticle
picture, we find the exact matrix product state form of the non-equilibrium
stationary state for a range of boundary conditions, including both periodic
and stochastic. We discuss further implications of the integrability of the
model. | | Source: | arXiv, 2006.6556 | | Services: | Forum | Review | PDF | Favorites | |
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