Matrix element distributions exhibit non-analytic dependence on ensemble fluctuation scale, exposing multiscale structure in eigenstate thermalization within an integrable field theory.
(6), enable us to derive an explicit analytic formula for the asymptotic behavior of the matrix elements as a function of distance
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Multiscale Structure of Eigenstate Thermalization
Matrix element distributions exhibit non-analytic dependence on ensemble fluctuation scale, exposing multiscale structure in eigenstate thermalization within an integrable field theory.