English

Finite-size scaling analysis of eigenstate thermalization

Statistical Mechanics 2022-01-31 v3

Abstract

We study the fluctuations of eigenstate expectation values in a microcanonical ensemble. Assuming the eigenstate thermalization hypothesis, an analytical formula for the finite-size scaling of the fluctuations is derived. The same problem was studied by Beugeling et al. [Phys. Rev. E 89, 042112 (2014)]. We compare our results with theirs.

Keywords

Cite

@article{arxiv.2103.01539,
  title  = {Finite-size scaling analysis of eigenstate thermalization},
  author = {Yichen Huang},
  journal= {arXiv preprint arXiv:2103.01539},
  year   = {2022}
}

Comments

v3: published version

R2 v1 2026-06-23T23:39:01.780Z