4 papers
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 The Evolution Of Operator Complexity Beyond Scrambling
J. L. F. Barbon, E. Rabinovici, R. Shir +1
We study operator complexity on various time scales with emphasis on those much larger than the scrambling period. We use, for systems with a large but finite number of degrees of…
The propagator seagull: general evaluation of a two loop diagram
Barak Kol, Ruth Shir
We study a two loop diagram of propagator type with general parameters through the Symmetries of Feynman Integrals (SFI) method. We present the SFI group and equation system, the g…