Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model

Xiaoguang Wang*, Haibin Li, Bambi Hu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

20 Citations (Scopus)


We study the mode entanglement in the one-dimensional Frenkel-Kontorova model, and found that quantum entanglement is distinct before and after the transition by breaking of analyticity. We show that the more extended the electron is, the more entangled the corresponding state. Finally, a quantitative relation is given between the average square of the concurrence quantifying the degree of entanglement and the participation ratio characterizing the degree of localization.

Original languageEnglish
Article number054303
Number of pages4
JournalPhysical Review A
Issue number5
Publication statusPublished - 12 May 2004

Scopus Subject Areas

  • Atomic and Molecular Physics, and Optics


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