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

Journal Article · Sat May 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.054303· OSTI ID:20643693

Xiaoguang, Wang ^[1]; Haibin, Li ^[1]; Bambi, Hu ^[1]

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1. Department of Physics and Center for Nonlinear Studies, Hong Kong Baptist University, Hong Kong (China)

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.

• OSTI ID: 20643693
• Journal Information: Physical Review. A, Vol. 69, Issue 5; Other Information: DOI: 10.1103/PhysRevA.69.054303; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
ELECTRONS
ENERGY LEVELS
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS