Spectral tensor networks for many-body localization

Understand

Subsystems of strongly disordered, interacting quantum systems can fail to thermalize because of the phenomenon of many-body localization (MBL).

• In this article, we explore a tensor network description of the eigenspectra of such systems.
• Specifically, we will argue that the presence of a complete set of local integrals of motion in MBL implies an efficient representation of the entire spectrum of energy eigenstates with a single tensor network, a \emph{spectral} tensor network.
• Our results are rigorous for a class of idealized systems related to MBL with integrals of motion of finite support.