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We analytically study the effects of periodically alternating magnetic fieldson the dynamics of a tight-binding ring. It is shown that an arbitrary quantumstate can be frozen coherently at will by the very frequent square-wave fieldas well as the monochromatic-wave field when the corresponding optimalamplitudes are taken. Numerical simulations show that the average fidelitydepends on not only the system parameters, but also the features of the quantumstate. Moreover, taking the initial zero-momentum Gaussian wave packets asexamples, we show the dependence of the threshold frequency on the width of thepacket for the given average fidelities. These observations provide a means toperform the quantum state engineering.

Dynamics of a tight-binding ring threaded by time-periodic magnetic flux