Mathematical and Theoretical Physics Seminar: "Eigenstate thermalization hypothesis in two-dimensional large central charge CFT"
(sign-up)Jia-ju Zhang, University of Milano-Bicocca
Physics and Mathematics
By the eigenstate thermalization hypothesis (ETH), a highly excited energy eigenstate behaves like the thermal state. We investigate the eigenstate thermalization hypothesis in two-dimensional large central charge CFT and compare the excited state of a primary operator with the canonical ensemble thermal state. To distinguish the excited state and thermal state, we calculate the short interval expansions of the entanglement entropy, relative entropy, Jensen-Shannon divergence, and Schatten 2-norm. We include only contributions from the vacuum conformal family and find that ETH is satisfied in the leading order of central charge and is violated at the next-to-leading order. We also discuss briefly ETH in two-dimensional large central charge CFT for the microcanonical ensemble and generalized Gibbs ensemble thermal states.
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