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Many-body localization transition through pairwise correlations | | Jaime L. C. da C. Filho
; Andreia Saguia
; Lea F. Santos
; Marcelo S. Sarandy
; | | Date: |
4 May 2017 | | Abstract: | We investigate the phenomenon of spatial many-body localization (MBL) through
pairwise correlation measures based on one and two-point correlation functions.
The system considered is the Heisenberg spin-1/2 chain with exchange
interaction $J$ and random onsite disorder of strength $h$. As a representative
pairwise correlation measure obtained from one-point functions only, we use
global entanglement. Through its finite size scaling analysis, we locate the
MBL critical point at $h_{c}/J = 3.8$. As for measures involving two-point
functions, we analyze pairwise geometric classical, quantum, and total
correlations. Similarly to what happens for continuous quantum phase
transitions, it is the derivatives of these two-point correlation measures that
identify the MBL critical point, which is found to be in the range $h_{c}/J in
left[3,4
ight]$. Our approach relies on very simple measures that do not
require access to multipartite entanglement or large portions of the system. | | Source: | arXiv, 1705.1957 | | Services: | Forum | Review | PDF | Favorites | |
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