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Coherently manipulating flying qubits in a quantum wire with a magnetic impurity
e study the effect of a magnetic impurity with spin-half on a single
propagating electron in a one-dimensional model system via the tight-binding
approach. Due to the spin-dependent interaction, the scattering channel for the
flying qubit is split, and its transmission spectrum is obtained. It is found
that, the spin orientation of the impurity plays the role as a spin state
filter for a flying qubit.Comment: 6 pages, 5 figure
On the essential spectrum of complete non-compact manifolds
In this paper, we prove that the essential spectra of the Laplacian on
functions are on a non-compact complete Riemannian manifold with
non-negative Ricci curvature at infinity. The similar method applies to
gradient shrinking Ricci soliton, which is similar to non-compact manifold with
non-negative Ricci curvature in many ways.Comment: Minor modification
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