Journal article
Exact solution of the Floquet-PXP cellular automaton
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 477.8KB, Terms of use)
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- Publisher copy:
- 10.1103/physreve.102.062107
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review E More from this journal
- Volume:
- 102
- Issue:
- 6-1
- Article number:
- 62107
- Place of publication:
- United States
- Publication date:
- 2020-12-03
- Acceptance date:
- 2020-10-30
- DOI:
- EISSN:
-
2470-0053
- ISSN:
-
2470-0045
- Pmid:
-
33466043
- Language:
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English
- Keywords:
- Pubs id:
-
1159782
- Local pid:
-
pubs:1159782
- Deposit date:
-
2021-11-19
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2020
- Rights statement:
- © 2020 American Physical Society
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from American Physical Review at: https://doi.org/10.1103/PhysRevE.102.062107
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