One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

We propose a measure of quantum state complexity defined by minimizing the spread of the
wave function over all choices of basis. Our measure is controlled by the “survival amplitude” …

A bstract There are various definitions of the concept of complexity in Quantum Field Theory
as well as for finite quantum systems. For several of them there are conjectured holographic …

We construct an infinite family of microstates with geometric interiors for eternal black holes
in general relativity with a negative cosmological constant in any dimension. Wormholes in …

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 …

A bstract Chaos and complexity entail an entropic and computational obstruction to
describing a system, and thus are intrinsically difficult to characterize. In this paper, we …

The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …

The spectral form factor (SFF) captures universal spectral fluctuations as signatures of
quantum chaos, and has been instrumental in advancing multiple frontiers of physics …

The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …

A bstract We explore spread and spectral complexity in quantum systems that exhibit a
transition from integrability to chaos, namely the mixed-field Ising model and the next-to …