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 analyze time evolution of spread complexity (SC) in an isolated interacting quantum
many-body system when it is subjected to a sudden quench. Characteristics features of the …

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 …

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 …

A bstract Using spread complexity and spread entropy, we study non-unitary quantum
dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the …

A bstract Quantifying complexity in quantum systems has witnessed a surge of interest in
recent years, with Krylov-based measures such as Krylov complexity (CK) and Spread …

We show that the characteristic function of the probability distribution associated with the
change of an observable in a two-point measurement protocol with a perturbation can be …