Quantum Correlations in Two-Particle Anderson Localization
arXiv:1003.3657 · doi:10.1103/PhysRevLett.105.163905
Abstract
We predict the quantum correlations between non-interacting particles evolving simultaneously in a disordered medium. While the particle density follows the single-particle dynamics and exhibits Anderson localization, the two-particle correlation develops unique features that depend on the quantum statistics of the particles and their initial separation. On short time scales, the localization of one particle becomes dependent on whether the other particle is localized or not. On long time scales, the localized particles show oscillatory correlations within the localization length. These effects can be observed in Anderson localization of non-classical light and ultra-cold atoms.
4 pages, 4 figures, comments welcome
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- Counting Statistics of Many-Particle Quantum Walks
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- A measure of tripartite entanglement in bosonic and fermionic systems
- Entanglement and Thouless times from coincidence measurements across disordered media
- Angular-resolved photon-coincidence measurements in a multiple-scattering medium
- Anderson Localization with Second Quantized Fields: Quantum Statistical Aspects