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Evolution of Entanglement Entropy in Orbifold CFTs

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arxiv 1701.03110 v3 pith:JCXSC5W5 submitted 2017-01-11 hep-th cond-mat.stat-mech

Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords orbifoldentropyrenyicyclicentanglementevolutionfindlogarithm
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abstract

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its compactification radius is rational, the second Renyi entropy approaches a universal constant equal to the logarithm of the quantum dimension of the twist operator. On the other hand, in the non-rational case, we find a new scaling law for the Renyi entropies given by the double logarithm of time $\log\log t$ for the cyclic orbifold CFT.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement Entropy after Double-Excitation as Interaction Measure

    hep-th 2019-08 conditional novelty 6.0 of 10

    For double local operator excitations in pure 2D CFTs, the late-time entanglement entropy equals the sum of two single-quench results plus a negative c/6 log((l_B - l_A)/(t - l_A)) interaction term.

  2. Thermal Pseudo-Entropy

    hep-th 2024-11 conditional novelty 5.0 of 10

    Thermal pseudo-entropy is the analytic continuation S(β+it) of thermal entropy, equals the pseudo-entropy of a Thermofield Double transition matrix, and its averaged real part tracks the spectral form factor.

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