KEK Theory seminar(Dr. Masahiro Nozaki )

CategoryTheory Seminar
Start2019/02/19(火)11:00
End2019/02/19(火)12:00
VenueKenkyu-Honkan 3F, Room 322
TitleSignature of quantum chaos in operator entanglement in 2d CFTs
SpeakerDr. Masahiro Nozaki ( RIKEN )
Language英語/English
Contactnshiba@post.kek.jp
Website
Cafetelia利用予定なし/0

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.

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