Out-of-time-ordered correlator of quenched state in many-body localization

Abstract

We study an out-of-time-ordered correlator (OTOC) of a pure state in many-body localization (MBL). Recent researches related to the OTOC in MBL are focused on the thermal ensemble in high temperature. We compare the OTOC of the pure state with the thermal ensemble average to find the typical states that describe thermal ensemble well. Here, We consider pure states in quenched states which are randomly sampled under a certain constraint.