Signature of quantum chaos in operator entanglement in 2d CFTs
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Publication:5131509
DOI10.1088/1742-5468/AB3A29zbMATH Open1456.81392arXiv1812.00013OpenAlexW3101301963WikidataQ112153967 ScholiaQ112153967MaRDI QIDQ5131509
Author name not available (Why is that?)
Publication date: 8 November 2020
Published in: (Search for Journal in Brave)
Abstract: We study operator entanglement measures of the unitary evolution operators of (1+1)-dimensional conformal field theories (CFTs), aiming to uncover their scrambling and chaotic behaviors. In particular, we compute the bi-partite and tri-partite mutual information for various configurations of input and output subsystems, and as a function of time. We contrast three different CFTs: the free fermion theory, compactified free boson theory at various radii, and CFTs with holographic dual. We find that the bi-partite mutual information exhibits distinct behaviors for these different CFTs, reflecting the different information scrambling capabilities of these unitary operators; while a quasi-particle picture can describe well the case the free fermion and free boson CFTs, it completely fails for the case of holographic CFTs. Similarly, the tri-partite mutual information also distinguishes the unitary evolution operators of different CFTs. In particular, its late-time behaviors, when the output subsystems are semi-infinite, are quite distinct for these theories. We speculate that for holographic theories the late-time saturation value of the tri-partite mutual information takes the largest possible negative value and saturates the lower bound among quantum field theories.
Full work available at URL: https://arxiv.org/abs/1812.00013
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