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Probing thermality beyond the diagonal
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We investigate the off-diagonal sector of eigenstate thermalization using both local and non-local probes in 2-dimensional conformal field theories. A novel analysis of the asymptotics of OPE coefficients via the modular bootstrap is performed to extract the behaviour of the off-diagonal matrix elements. We also probe this sector using semi-classical heavy-light Virasoro blocks. The results demonstrate signatures of thermality and confirms the entropic suppression of the off-diagonal elements as necessitated by the eigenstate thermalization hypothesis.
Forward citations
Cited by 3 Pith papers
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Universality of the microcanonical entropy at large spin
For any twist interval at or above (c-1)/12, the large-spin operator density matches the vacuum-block prediction with relative error vanishing faster than any power, using a twist window that may shrink as J^{-1/4+epsilon}.
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Universality in the OPE Coefficients of Holographic 2d CFTs
Universal averaged OPE coefficient asymptotics in large-central-charge 2D CFTs extend to Δ>c/6 only under specific sparseness conditions; the C^2_HLL formula requires the stricter ρ(Δ)≲e^{πΔ}, which permutation orbifo...
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Modern Approach to 2D Conformal Field Theory
A review-style lecture note collection presenting modern bootstrap methods for irrational 2D CFTs, with no new research results.
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