Many-body localization in a disordered quantum Ising chain

Understand

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions.

• Despite strong evidence for the existence of a many-body localization transition a reliable extraction of the critical disorder strength is difficult due to a large drift with system size in the studied quantities.
• In this work we explore two entanglement properties that are promising for the study of the manybody localization transition: the variance of the half-chain entanglement entropy of exact eigenstates and the long time change in entanglement after a local quench from an exact eigenstate.
• We investigate these quantities in a disordered quantum Ising chain and use them to estimate the critical disorder strength and its energy dependence.