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.
Original language | English |
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Article number | 033101 |
Journal | Journal of Statistical Mechanics: Theory and Experiment |
Volume | 2018 |
Issue number | 3 |
DOIs | |
State | Published - Mar 8 2018 |
Bibliographical note
Publisher Copyright:© 2018 IOP Publishing Ltd and SISSA Medialab srl.
Keywords
- conformal field theory
- entanglement in extended quantum systems
- quantum thermalization
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty