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PreprintCC BY 4.0arXiv

Thermalization with Gaussian Quantum Cellular Automata

  • Roman Geiko
  • Jake Gerenraich
Open at sourcePDFDOICite

Abstract

We study the long-time dynamics of many-body bosonic lattice systems under translation-invariant Gaussian quantum cellular automata. We formulate two sets of conditions on GQCAs which separately guarantee thermalization of any state on the local Weyl algebra to the infinite temperature state, whenever the state is locally normal and has uniformly bounded particle density. Our main intermediate result is a quantum many-body generalization of the classic Riemann-Lebesgue lemma which is a bound on expectation values of local Weyl operators involving their support and the state's particle density.

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Cite

BibTeXRIS
BibTeX
@misc{geiko2026thermalization,
  title = {{Thermalization with Gaussian Quantum Cellular Automata}},
  author = {Roman Geiko and Jake Gerenraich},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2606.05542},
  eprint = {2606.05542},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.05542},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Thermalization with Gaussian Quantum Cellular Automata
AU  - Roman Geiko
AU  - Jake Gerenraich
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2606.05542
UR  - https://arxiv.org/abs/2606.05542
AB  - We study the long-time dynamics of many-body bosonic lattice systems under translation-invariant Gaussian quantum cellular automata. We formulate two sets of conditions on GQCAs which separately guarantee thermalization of any state on the local Weyl algebra to the infinite temperature state, whenever the state is locally normal and has uniformly bounded particle density. Our main intermediate result is a quantum many-body generalization of the classic Riemann-Lebesgue lemma which is a bound on expectation values of local Weyl operators involving their support and the state's particle density.
ER  -