Excited-state fidelity as a signal for the many-body localization transition in a disordered Ising chain.

Abstract:

:In this work, we use exact matrix diagonalization to explore the many-body localization (MBL) transitions in quantum Ising chains with disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields. It is demonstrated that the fidelity can be used to characterize the interaction-driven MBL transition in this closed spin system in a manner that is consistent with previous analytical and numerical results. We compute the fidelity for high-energy many-body eigenstates, namely, the excited-state fidelity. It is demonstrated that disordered nearest-neighbour couplings, disordered next-nearest-neighbour couplings and disordered external fields each have different effects on the MBL transition. Furthermore, we investigate the MBL transition of a quantum Ising chain with both disordered nearest-neighbour couplings and disordered next-nearest-neighbour couplings to see how these two types of disordered couplings drive the occurrence of the MBL transition.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Hu T,Xue K,Li X,Zhang Y,Ren H

doi

10.1038/s41598-017-00660-4

subject

Has Abstract

pub_date

2017-04-03 00:00:00

pages

577

issue

1

issn

2045-2322

pii

10.1038/s41598-017-00660-4

journal_volume

7

pub_type

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