Capacity of entanglement in local operators
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Publication:1981424
DOI10.1007/JHEP07(2021)019zbMATH Open1468.81019arXiv2106.00228MaRDI QIDQ1981424
Author name not available (Why is that?)
Publication date: 3 September 2021
Published in: (Search for Journal in Brave)
Abstract: We study the time evolution of the excess value of capacity of entanglement between a locally excited state and ground state in free, massless fermionic theory and free Yang-Mills theory in four spacetime dimensions. Capacity has non-trivial time evolution and is sensitive to the partial entanglement structure, and shows a universal peak at early times. We define a quantity, the normalized "Page time", which measures the timescale when capacity reaches its peak. This quantity turns out to be a characteristic property of the inserted operator. This firmly establishes capacity as a valuable measure of entanglement structure of an operator, especially at early times similar in spirit to the Renyi entropies at late times. Interestingly, the time evolution of capacity closely resembles its evolution in microcanonical and canonical ensemble of the replica wormhole model in the context of the black hole information paradox.
Full work available at URL: https://arxiv.org/abs/2106.00228
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