  As a demonstration of the spectrum-parity matching condition (SPMC) for
quantum state transfer, we investigate the propagation of single-magnon state
in the Heisenberg chain in the confined external tangent magnetic field
analytically and numerically. It shows that the initial Gaussian wave packet
can be retrieved at the counterpart location near-perfectly over a longer
distance if the dispersion relation of the system meets the SPMC approximately.
