From perfect to fractal transmission in spin chains

Details From perfect to fractal transmission in spin chains From perfect to fractal transmission in spin chains

2005-02-23

arxiv.org/abs/quant-ph/0502148v2

Phys. Rev. A 72, 012323 (2005)

Physics

Quantum Physics

8 pages, 10 figures, published version

Scientific paper

10.1103/PhysRevA.72.012323

Perfect state transfer is possible in modulated spin chains, imperfections however are likely to corrupt the state transfer. We study the robustness of this quantum communication protocol in the presence of disorder both in the exchange couplings between the spins and in the local magnetic field. The degradation of the fidelity can be suitably expressed, as a function of the level of imperfection and the length of the chain, in a scaling form. In addition the time signal of fidelity becomes fractal. We further characterize the state transfer by analyzing the spectral properties of the Hamiltonian of the spin chain.

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