Eigenstate thermalization hypothesis in conformal field theory

Eigenstate thermalization hypothesis in conformal field theory
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共形场论中的本征态热化假说

DOI:
10.1088/1742-5468/aab020
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发表时间:
2016
期刊:
Journal of Statistical Mechanics: Theory and Experiment
影响因子:
--
通讯作者:
Hong Liu
Hong Liu
中科院分区:
--
文献类型:
--
作者:
Nima Lashkari;A. Dymarsky;Hong Liu

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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.