A random sampling method to test the weak Eigenstate Thermalization Hypothesis

@misc{chlanda2026random,
  title = {{A random sampling method to test the weak Eigenstate Thermalization Hypothesis}},
  author = {Nicolaus A. Chlanda and John Keim and Isabel Martinez-Robles and Sarah E. Spielman and Thomas J. Carroll and Michael W. Noel},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30070},
  eprint = {2610.30070},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30070},
}

TY  - UNPB
TI  - A random sampling method to test the weak Eigenstate Thermalization Hypothesis
AU  - Nicolaus A. Chlanda
AU  - John Keim
AU  - Isabel Martinez-Robles
AU  - Sarah E. Spielman
AU  - Thomas J. Carroll
AU  - Michael W. Noel
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30070
UR  - https://arxiv.org/abs/2610.30070
AB  - We introduce a random sampling method for testing the weak Eigenstate Thermalization Hypothesis (wETH) that is particularly useful for large, sparse Hamiltonians. We test the method on a well-studied Rydberg atom system that exhibits both two- and three-body dipole-dipole interactions. Our results show that our method allows for the study of system sizes significantly beyond the limits of exact diagonalization. We find that the fluctuations in eigenstate expectation values decay as the Hilbert space dimension D^−1/2, consistent with wETH and in agreement with previous numerical results.
ER  -