NMR Quantum Simulation of Localization Effects Induced by Decoherence | Phys. Rev. Lett. 104, 230403 (2010)

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NMR Quantum Simulation of Localization Effects Induced by Decoherence

Gonzalo A. Álvarez* and Dieter Suter†

Fakultät Physik, Universität Dortmund, Otto-Hahn-Strasse 4, D-44221 Dortmund, Germany

Received 21 January 2010; published 9 June 2010

The loss of coherence in quantum mechanical superposition states limits the time for which quantum information remains useful. Similarly, it limits the distance over which quantum information can be transmitted. Here, we investigate in a nuclear spin-based quantum simulator, the localization of the size of spin clusters that are generated by a Hamiltonian driving the transmission of information, while a variable-strength perturbation counteracts the spreading. We find that the system reaches a dynamic equilibrium size, which decreases with the square of the perturbation strength.

© 2010 The American Physical Society

via Phys. Rev. Lett. 104, 230403 (2010): NMR Quantum Simulation of Localization Effects Induced by Decoherence.

(a) Time evolution of the cluster size. The black squares represent the unperturbed time evolution and the other symbols correspond to different perturbation strengths according to the legend. (b),(c) Distributions of the amplitudes of the multiple quantum coherences of the density matrix for unperturbed dynamics ((b), p=0) and a perturbed evolution ((c), p=0.108), respectively. The perturbed evolution in (c) shows localization at a cluster size Kloc=56 spins.
(a) Time evolution of the cluster size. The black squares represent the unperturbed time evolution and the other symbols correspond to different perturbation strengths according to the legend. (b),(c) Distributions of the amplitudes of the multiple quantum coherences of the density matrix for unperturbed dynamics ((b), p=0) and a perturbed evolution ((c), p=0.108), respectively. The perturbed evolution in (c) shows localization at a cluster size Kloc=56 spins.
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One thought on “NMR Quantum Simulation of Localization Effects Induced by Decoherence | Phys. Rev. Lett. 104, 230403 (2010)

    […] 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 […]

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