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Eigenstate Thermalization Hypothesis in Conformal Field Theory

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arxiv 1610.00302 v1 pith:JZTIZUZ6 submitted 2016-10-02 hep-th cond-mat.stat-mechcond-mat.str-elquant-ph

Eigenstate Thermalization Hypothesis in Conformal Field Theory

classification hep-th cond-mat.stat-mechcond-mat.str-elquant-ph
keywords energyfiniteconformaldensityeigenstateeigenstatesfieldhypothesis
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the eigenstate thermalization hypothesis (ETH) in d+1 dimensional conformal field theories by studying reduced density matrices in energy eigenstates. We show that if local probes of high energy 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.

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Cited by 9 Pith papers

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