Finite-size scaling analysis of eigenstate thermalization
Yichen Huang
TL;DR
This paper derives an analytical formula for how eigenstate expectation value fluctuations scale with system size under the eigenstate thermalization hypothesis, comparing results with previous studies.
Contribution
It provides a new analytical approach to finite-size scaling of eigenstate fluctuations and compares it with prior numerical results.
Findings
Derived an analytical formula for finite-size scaling of fluctuations
Validated the formula by comparison with previous numerical studies
Enhanced understanding of eigenstate thermalization in finite systems
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.
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