Identifying many-body localization transitions in a random-field Heisenberg chain via quantum nonlocality

Abstract

Characterizing the many-body localization (MBL) transition and revealing its inherent mechanisms from the ergodic phase to the localized phase is an increasing interest issue. In this paper, we use quantum nonlocality, the hierarchy of multipartite correlations, to identify the MBL transition in an XXZ spin chain with random on-site magnetic fields. We use the shift-invert exact diagonalization method to explore the properties of two-qubit nonlocality and multipartite nonlocality in the many-body localized system. We then use their first derivatives to estimate the critical disorder strength, which is found to be range in hc/J∈[3,4]. Correspondingly, two quantities and their first derivatives, the energy level statistics and the half-chain entanglement entropy that are promising for the study of the MBL transition, are also investigated and as comparisons to quantum nonlocality.