A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …

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 …

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 …

A bstract We use Krylov complexity to study operator growth in the q-body dissipative
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …

A bstract Continuing the previous initiatives [1, 2], we pursue the exploration of operator
growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort …

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 …

A bstract We compute the Krylov Complexity of a light operator\(\mathcal {O}\) L in an
eigenstate of a 2d CFT at large central charge c. The eigenstate corresponds to a primary …

We relate the probability distribution of the work done on a statistical system under a sudden
quench to the Lanczos coefficients corresponding to evolution under the postquench …

We present a general framework in which both Krylov state and operator complexities can
be put on the same footing. In our formalism, the Krylov complexity is defined in terms of the …