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Quantum recurrence and dynamic localization are investigated in a class ofac-driven tight-binding Hamiltonians, the Krawtchouk quantum chain, which inthe undriven case provides a paradigmatic Hamiltonian model that realizesperfect quantum state transfer and mirror inversion. The equivalence betweenthe the ac-driven single-particle Krawtchouk Hamiltonian $\hat{H}(t)$ and thenon-interacting ac-driven bosonic junction Hamiltonian enables to determine ina closed form the quasi energy spectrum of $\hat{H}(t)$ and the conditions forexact wave packet reconstruction (dynamic localization). In particular, we showthat quantum recurrence, which is predicted by the general quantum recurrencetheorem, is {\it exact} for the Krawtchouk quantum chain in a dense range ofthe driving amplitude. Exact quantum recurrence provides perfect wave packetreconstruction at a frequency which is {\it fractional} than the drivingfrequency, a phenomenon that can be referred to as fractional dynamiclocalization.

Quantum recurrence and fractional dynamic localization in ac-driven perfect state transfer Hamiltonians