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We analyze the performance of quantum ratchets by considering the dynamics ofan initially localized wave packet loaded into a flashing periodic potential.The directed center-of-mass motion can be initiated by the uniform modulationof the potential height, provided that the modulation protocol breaks allrelevant time- and spatial reflection symmetries. A poor performance of quantumratchet transport is characterized by a slow net motion and a fast diffusivespreading of the wave packet, while the desirable optimal performance is thecontrary. By invoking a quantum analog of the classical P\'eclet number, namelythe quotient of the group velocity and the dispersion of the propagating wavepacket, we calibrate the transport properties of flashing quantum ratchets anddiscuss the mechanisms that yield low-dispersive directed transport.

Quantum ratchet transport with minimal dispersion rate