Entanglement and thermodynamic entropy in a clean many-body-localized system

Understand

Whether or not the thermodynamic entropy is equal to the entanglement entropy of an eigenstate, is of fundamental interest, and is closely related to the `Eigenstate thermalization hypothesis (ETH)'.

• However, this has never been exploited as a diagnostic tool in many-body localized systems.
• In this work, we perform this diagnostic test on a clean interacting system (subjected to a static electric field) that exhibits three distinct phases: integrable, non-integrable ergodic and non-integrable many-body-localized (MBL).
• We find that in the non-integrable ergodic phase, the equivalence between the thermodynamic entropy and the entanglement entropy of individual eigenstates, holds.