4.4 Article

Quantum simulations of localization effects with dipolar interactions

Journal

ANNALEN DER PHYSIK
Volume 525, Issue 10-11, Pages 833-844

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201300096

Keywords

spin dynamics; dipolar interaction; decoherence; localization; disorder; NMR; long range interactions; quantum information processing

Funding

  1. DFG [Su 192/24-1]
  2. Alexander von Humboldt Foundation
  3. European Commission [PIEF-GA-2012-328605]

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Quantum information processing often uses systems with dipolar interactions. Here a nuclear spin-based quantum simulator is used to study the spreading of information in such a dipolar-coupled system. While the information spreads with no apparent limits in the case of ideal dipolar couplings, additional perturbations limit the spreading, leading to localization. In previous work [Phys. Rev. Lett. 104, 230403 (2010)], it was found that the system size reaches a dynamic equilibrium that decreases with the square of the perturbation strength. This work examines the impact of a disordered Hamiltonian with dipolar 1/r3 interactions. It shows that the expansion of the cluster of spins freezes in the presence of large disorder, reminiscent of Anderson localization of non-interacting waves in a disordered potential.

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