The seminal work by Sadi Carnot in the early nineteenth century provided the blueprint of a
reversible heat engine and the celebrated second law of thermodynamics eventually …

We develop a geometric approach to operator growth and Krylov complexity in many-body
quantum systems governed by symmetries. We start by showing a direct link between a …

A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …

A bstract The concepts of operator size and computational complexity play important roles in
the study of quantum chaos and holographic duality because they help characterize the …

A bstract We investigate and characterize the dynamics of operator growth in irrational two-
dimensional conformal field theories. By employing the oscillator realization of the Virasoro …

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 …

We investigate the delocalization of operators in nonchaotic quantum systems whose
interactions are encoded in an underlying graph or network. In particular, we study how fast …

Quantum dynamics is of fundamental interest and has implications in quantum information
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …

In this work we probe the operator growth for systems with Lie symmetry using tools from
quantum information. Namely, we investigate the Krylov complexity, entanglement …

We study a sparse Sachdev-Ye-Kitaev (SYK) model with N Majoranas where only∼ k N
independent matrix elements are nonzero. We identify a minimum k≳ 1 for quantum chaos …