Measurement-induced entanglement dynamics in many-body localizable systems

In this work we explore the interplay of two types of entanglement transition: the many-body localization (MBL) transition, where eigenstates go from volume law to area law, and measurement-induced transitions, where recent work has demonstrated that the late-time entanglement entropy of random circuits can collapse from volume to area law above a finite critical measurement rate [1-3]. Whereas previous studies have focused mainly on random quantum circuits, here we focus on Hamiltonian dynamics. Many-body localizable systems exhibit at least two phases with distinct dynamical properties: the thermal and the localized phases. In this work, we investigate the effect of measurements on the entanglement dynamics of these phases.

[1] Y. Li et al., PRB 98 205136 (2018)
[2] S. Choi et al., arXiv:1903.05124 (2019)
[3] A. Chan et al., PRB 99 224307 (2019)