Quantum entanglement of localized excited states at finite temperature

By Paweł Caputa, J. Simón, A. Štikonas, T. Takayanagi. Journal of High Energy Physics, 2014

161 citations recorded by the source corpus.

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, in finite 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5503ab3ca7b90a827256b591ca0e053049b3a92c

Citations in the corpus

• Virasoro conformal blocks and thermality from classical background fields (2015, unknown): “See [54] for a review and [31, 37] for a relevant recent application using the Virasoro blocks.”