Operator Complexity beyond Scrambling

16.04.2020 13:45 – 15:00

I discuss aspects of quantum complexity and its holographic counterpart, applied to operator growth in chaotic systems. At time scales longer than the scrambling time, the size of the operator ceases to be a good characterization of its complexity growth. I will show that a new notion of operator complexity, called Krylov-complexity, satisfies the expected linear growth at long times as a result of the ETH hypothesis in chaotic systems. Second, I will explain how the momentum/complexity correspondence in holographic systems can be reconciled with the linear growth at late times, using the properties of extremal-volume surfaces in the interior of a black hole.


Bâtiment: Ecole de Physique

Zoom meeting

Organisé par

Département de physique théorique


José Barbón, Instituto de Física Teórica, Madrid

entrée libre


Catégorie: Séminaire

Mots clés: dpt, cordes

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