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

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

2003-08-22

arxiv.org/abs/quant-ph/0308118v1

Phys. Rev. A 69, 054303 (2004)

Physics

Quantum Physics

4 pages, 4 figures. V1

Scientific paper

10.1103/PhysRevA.69.054303

We study the mode entanglement in the one-dimensional Frenkel-Kontorova model, and found that behaviors of quantum entanglement are 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.

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