Logarithmic entanglement lightcone in many-body localized systems

Article

关键词: QUANTUM;    THERMALIZATION;    PROPAGATION;    DIFFUSION;    ABSENCE;   

DOI  :  10.1103/PhysRevB.95.024202

来源: SCIE

【 摘 要 】

We theoretically study the response of a many-body localized system to a local quench from a quantum information perspective. We find that the local quench triggers entanglement growth throughout the whole system, giving rise to a logarithmic lightcone. This saturates the modified Lieb-Robinson bound for quantum information propagation in many-body localized systems previously conjectured based on the existence of local integrals of motion. In addition, near the localization-delocalization transition, we find that the final states after the local quench exhibit volume-law entanglement. We also show that the local quench induces a deterministic orthogonality catastrophe for highly excited eigenstates, where the typical wave-function overlap between the pre- and postquench eigenstates decays exponentially with the system size.

【 授权许可】

Free