Characterizing entanglement by momentum jump in the frustrated Heisenberg ring at a quantum phase transition

Xiao Feng Qian, Tao Shi, Ying Li, Z. Song, C. P. Sun

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We study the pairwise concurrences, a measure of entanglement, of the ground states for the frustrated Heisenberg ring to explore the relation between entanglement and quantum phase transition associated with the momentum jump. The ground-state concurrences between any two sites are obtained analytically and numerically. It shows that the summation of all possible pairwise concurrences is an appropriate candidate to depict the phase transition. We also investigate the role that the momentum takes in the jump of concurrence at the critical points. We find that an abrupt momentum change results in the maximal concurrence difference of two degenerate ground states.

Original languageEnglish
Article number012333
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume72
Issue number1
DOIs
StatePublished - Jul 2005

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