197 citations · 719 across the 15 of their papers we have counts for
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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…
A bulk manifestation of Krylov complexity
E. Rabinovici, A. Sánchez-Garrido, R. Shir +1
There are various definitions of the concept of complexity in Quantum Field Theory as well as for finite quantum systems. For several of them there are conjectured holographic bulk…
Krylov complexity from integrability to chaos
E. Rabinovici, A. Sánchez-Garrido, R. Shir +1
We apply a notion of quantum complexity, called "Krylov complexity", to study the evolution of systems from integrability to chaos. For this purpose we investigate the integrable X…
Krylov Localization and suppression of complexity
E. Rabinovici, A. Sánchez-Garrido, R. Shir +1
Quantum complexity, suitably defined, has been suggested as an important probe of late-time dynamics of black holes, particularly in the context of AdS/CFT. A notion of quantum com…
Numerator Seagull and Extended Symmetries of Feynman Integrals
Barak Kol, Amit Schiller, Ruth Shir
The Symmetries of Feynman Integrals (SFI) method is extended for the first time to incorporate an irreducible numerator. This is done in the context of the so-called vacuum and pro…
Operator complexity: a journey to the edge of Krylov space
E. Rabinovici, A. Sánchez-Garrido, R. Shir +1
Heisenberg time evolution under a chaotic many-body Hamiltonian transforms an initially simple operator into an increasingly complex one, as it spreads over Hilbert space. Kryl…
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…
The vacuum seagull: evaluating a 3-loop Feynman diagram with 3 mass scales
Philipp Burda, Barak Kol, Ruth Shir
We study a 3-loop 5-propagator Feynman Integral, which we call the vacuum seagull, with arbitrary masses and spacetime dimension using the Symmetries of Feynman Integrals method. I…
1-loop Color structures and sunny diagrams
Barak Kol, Ruth Shir
Recently the space of tree level color structures for gluon scattering was determined in arXiv:1403.6837 together with its transformation properties under permutations. Here we gen…
Perturbative gauge theory and 2+2=4
Barak Kol, Ruth Shir
The group of permutations on four elements has an irreducible representation corresponding to the partition 4=2+2. This representation appears in several different mathematic…
Color structures and permutations
Barak Kol, Ruth Shir
Color structures for tree level scattering amplitudes in gauge theory are studied in order to determine the symmetry properties of the color-ordered sub-amplitudes. We mathematical…
Classical 3-loop 2-body diagrams
Barak Kol, Ruth Shir
As part of the study of the two-body problem in Einstein's gravity, the fourth post-Newtonian order (4PN) of the two-body effective action is being computed presently by both effec…