Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology

Understand

A quantum quench is the simplest protocol to investigate nonequilibrium many-body quantum dynamics.

• Previous studies on the entanglement properties of quenched quantum many-body systems mainly focus on the growth of entanglement entropy.
• Several rigorous results and phenomenological guiding principles have been established, such as the no-faster-than-linear entanglement growth generated by generic local Hamiltonians and the peculiar logarithmic growth for many-body localized systems.
• However, little is known about the dynamical behavior of the full entanglement spectrum, which is a refined character closely related to the topological nature of the wave function.