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 …

We demonstrate a relation between Nielsen's approach toward circuit complexity and Krylov
complexity through a particular construction of quantum state space geometry. We start by …

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 …

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 …

A bstract We study Krylov complexity of a one-dimensional Bosonic system, the celebrated
Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a …

A bstract The IP matrix model is a simple large N quantum mechanical model made up of an
adjoint harmonic oscillator plus a fundamental harmonic oscillator. It is a model introduced …

We present a framework for investigating wave function spreading in PT-symmetric quantum
systems using spread complexity and spread entropy. We consider a tight-binding chain …

Krylov complexity is an important dynamical quantity with relevance to the study of operator
growth and quantum chaos and has recently been much studied for various time …

We investigate various aspects of the Lanczos coefficients in a family of free Lifshitz scalar
theories, characterized by their integer dynamical exponent, at finite temperature. In this non …