Scaling of geometric quantum discord close to a topological phase transition.

Abstract:

:Quantum phase transition is one of the most interesting aspects in quantum many-body systems. Recently, geometric quantum discord has been introduced to signature the critical behavior of various quantum systems. However, it is well-known that topological quantum phase transition can not be described by the conventional Landau's symmetry breaking theory, and thus it is unknown that whether previous study can be applicable in this case. Here, we study the topological quantum phase transition in Kitaev's 1D p-wave spinless quantum wire model in terms of its ground state geometric quantum discord. The derivative of geometric quantum discord is nonanalytic at the critical point, in both zero temperature and finite temperature cases. The scaling behavior and the universality are verified numerically. Therefore, our results clearly show that all the key ingredients of the topological phase transition can be captured by the nearest neighbor and long-range geometric quantum discord.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Shan CJ,Cheng WW,Liu JB,Cheng YS,Liu TK

doi

10.1038/srep04473

subject

Has Abstract

pub_date

2014-03-26 00:00:00

pages

4473

issn

2045-2322

pii

srep04473

journal_volume

4

pub_type

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