Probing the entanglement of operator growth

Understand

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 negativity, von Neumann entropy and capacity of entanglement for systems with SU(1,1) and SU(2) symmetry.
• Our main tools are two-mode coherent states, whose properties allow us to study the operator growth and its entanglement structure for any system in a discrete series representation of the groups under consideration.
• Our results verify that the quantities of interest exhibit certain universal features in agreement with the universal operator growth hypothesis.