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.
|Number of pages||4|
|Journal||Physical Review A|
|Publication status||Published - 12 May 2004|
Scopus Subject Areas
- Atomic and Molecular Physics, and Optics