1 citations · 1 across the 5 of their papers we have counts for
5 papers
From phase space to Krylov space, one shell at a time
Nicolas De Ro, Adrián Sánchez-Garrido, Julian Sonner
In this work, we develop and study the classical Lanczos algorithm allowing us to define Krylov complexity using the symplectic structure of phase space: Poisson brackets take on t…
Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
Pratyusha Chowdhury, Felix M. Haehl, Adrián Sánchez-Garrido +1
We describe a holographic mechanism for black hole formation via the collision of two shock waves in three-dimensional anti-de Sitter spacetime. In the dual conformal field theory…
Krylov Complexity
Eliezer Rabinovici, Adrián Sánchez-Garrido, Ruth Shir +1
We introduce and review a new complexity measure, called `Krylov complexity', which takes its origins in the field of quantum-chaotic dynamics, serving as a canonical measure of op…
Operator K-complexity in DSSYK: Krylov complexity equals bulk length
Marco Ambrosini, Eliezer Rabinovici, Adrián Sánchez-Garrido +2
In this paper we study the notion of complexity under time evolution in chaotic quantum systems with holographic duals. Continuing on from our previous work, we turn our attention…
On Krylov Complexity
A. Sánchez-Garrido
This Thesis explores the notion of Krylov complexity as a probe of quantum chaos and as a candidate for holographic complexity. The first Part is devoted to presenting the fundamen…