Eigenstate thermalization hypothesis in conformal field theory
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1610.00302.pdf
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786.81 KB
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Author(s)
Lashkari, Nima
Dymarsky, Anatoly
Liu, Hong
Date Issued
March 2018
Journal
Journal of Statistical Mechanics: Theory and Experiment
Publisher
IOP Publishing
Citation
Lashkari, Nima et al. “Eigenstate Thermalization Hypothesis in Conformal Field Theory.” Journal of Statistical Mechanics: Theory and Experiment 2018, 3 (March 2018): 033101 © 2018 IOP Publishing Ltd and SISSA Medialab srl
Version
Original manuscript
Abstract
We investigate the eigenstate thermalization hypothesis (ETH) in d + 1 dimensional conformal field theories by studying the reduced density matrices in energy eigenstates. We show that if the local probes of the finitely excited primary eigenstates satisfy ETH, then any finite energy observable with support on a subsystem of finite size satisfies ETH. In two dimensions, we discover that if ETH holds locally, the finite size reduced density matrix of states created by heavy primary operators is well-approximated by a projection to the Virasoro identity block.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1088/1742-5468/aab020
