4 citations · 4 across the 5 of their papers we have counts for
6 papers
Cardy random matrix theory
Marco Ambrosini, Alexandre Belin, Jan de Boer +1
We construct and study a ``Cardy random matrix model'': a random matrix theory whose only input, in a maximal-ignorance prescription, is the constraint of -modular inva…
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…
Quantum chaos and the holographic principle
Alexander Altland, Julian Sonner
Recent years have witnessed tremendous progress in developing a fine-grained low-dimensional holographic correspondence, specifically the construction of quantum mechanical boundar…
Holography of K-complexity: Switchbacks and Shockwaves
Marco Ambrosini, Eliezer Rabinovici, Julian Sonner
In this paper we study Krylov complexity in the presence of single and multiple operators in the DSSYK model, where we can use the analytical techniques coming from chord diagramma…
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…