Entanglement versus chaos in disordered spin chains

Details Entanglement versus chaos in disordered spin chains Entanglement versus chaos in disordered spin chains

2003-10-29

arxiv.org/abs/quant-ph/0310177v2

Phys. Rev. A 69, 042304 (2004)

Physics

Quantum Physics

7 pages, 4 figures, RevTex4, Published version

Scientific paper

10.1103/PhysRevA.69.042304

We use a Heisenberg spin-1/2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the delocalized/localized and in the chaotic/non-chaotic regimes. Our results indicate that chaos reduces entanglement and that entanglement decreases in the region of strong localization. In the transition region from a chaotic to a non-chaotic regime localization increases entanglement. We also show that entanglement is larger for strongly interacting qubits (nearest neighbors) than for weakly interacting qubits (next and next-next neighbors).

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