A bstract We study the operator growth in open quantum systems with dephasing dissipation
terms, extending the Krylov complexity formalism of [1]. Our results are based on the study of …

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 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 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 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 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 …

A bstract A number of recent works have argued that quantum complexity, a well-known
concept in computer science that has re-emerged recently in the context of the physics of …

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 …

The Hungarian physicist Eugene Wigner introduced random matrix models in physics to
describe the energy spectra of atomic nuclei. As such, the main goal of random matrix theory …