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Quantum Entanglement of Localized Excited States at Finite Temperature

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http://link.springer.com/article/10.1007%2FJHEP01%282015%29102
Original languageEnglish
Article number102
JournalJournal of High Energy Physics
Volume2015
Early online date20 Jan 2015
DOIs
Publication statusPublished - Jan 2015

Abstract

In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature.
We consider excited states created by acting with local operators on thermal states and give both field theoretic and holographic calculations. In free field CFTs, we find that the growth of Renyi entanglement entropy at finite temperature is reduced compared to the zero temperature result by a small quantity proportional to the width of the localized excitations. On the other hand, infinite temperature CFTs with classical gravity duals, we find that the entanglement entropy approaches a characteristic value at late time. This behaviour does not occur at zero temperature. We also study the mutual information between the two CFTs in the thermofield double (TFD) formulation and give physical interpretations of our results.

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