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PreprintarXiv licencearXiv

Exact subsystem dynamics in the deterministic Floquet-PXP model

  • Katja Klobas
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Abstract

The dynamics of local subsystems in a thermodynamically large quantum many-body system can be understood as effectively open as the system produces its own effective bath. The action of this bath can be characterised in terms of the so-called influence matrices. In generic situations, the complexity of these objects grows unfavourably with time, however, there exist solvable cases where influence matrices can be characterised exactly even in the presence of non-trivial interactions. Here we show that Rule 201, a deterministic version of the Floquet-PXP model, is one of these solvable instances. Indeed, it admits influence matrices given by a finite-dimensional matrix-product operator (MPO) that solves a finite set of algebraic conditions. We provide the solution, and characterise multi-time autocorrelation functions.

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Cite

BibTeXRIS
BibTeX
@misc{klobas2026exact,
  title = {{Exact subsystem dynamics in the deterministic Floquet-PXP model}},
  author = {Katja Klobas},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.27337},
  eprint = {2606.27337},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.27337},
}
RIS
TY  - UNPB
TI  - Exact subsystem dynamics in the deterministic Floquet-PXP model
AU  - Katja Klobas
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2606.27337
UR  - https://arxiv.org/abs/2606.27337
AB  - The dynamics of local subsystems in a thermodynamically large quantum many-body system can be understood as effectively open as the system produces its own effective bath. The action of this bath can be characterised in terms of the so-called influence matrices. In generic situations, the complexity of these objects grows unfavourably with time, however, there exist solvable cases where influence matrices can be characterised exactly even in the presence of non-trivial interactions. Here we show that Rule 201, a deterministic version of the Floquet-PXP model, is one of these solvable instances. Indeed, it admits influence matrices given by a finite-dimensional matrix-product operator (MPO) that solves a finite set of algebraic conditions. We provide the solution, and characterise multi-time autocorrelation functions.
ER  -