A bstract Inspired by the universal operator growth hypothesis, we extend the formalism of
Krylov construction in dissipative open quantum systems connected to a Markovian bath …

A bstract In semi-classical systems, the exponential growth of the out-of-time-order correlator
(OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it …

Krylov complexity is a measure of operator complexity that exhibits universal behavior and
bounds a large class of other measures. In this paper, we generalize Krylov complexity from …

Scar states are special many-body eigenstates that weakly violate the eigenstate
thermalization hypothesis (ETH). Using the explicit formalism of the Lanczos algorithm …

A bstract We study a notion of operator growth known as Krylov complexity in free and
interacting massive scalar quantum field theories in d-dimensions at finite temperature. We …

A bstract We study Krylov complexity in various models of quantum field theory: free massive
bosons and fermions on flat space and on spheres, holographic models, and lattice models …

Krylov complexity measures operator growth with respect to a basis, which is adapted to the
Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm …

A bstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …

A bstract We study the spectral properties of two classes of random matrix models: non-
Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian noise. We …

Scar eigenstates in a many-body system refers to a small subset of non-thermal finite energy
density eigenstates embedded into an otherwise thermal spectrum. This novel non-thermal …