Directed Transport of Atoms in a Hamiltonian Quantum Ratchet

We demonstrate the operation of a quantum ratchet in the absence of dissipative processes within the observation time (Hamiltonian regime). An atomic rubidium Bose-Einstein condensate is exposed to a sawtooth-like optical lattice potential, whose amplitude is periodically modulated in time. The ratchet transport arises from broken spatiotemporal symmetries of the driven potential, resulting in a desymmetrisation of transporting Eigenstates (Floquet states). The measured atomic current oscillates around a non-zero stationary value at longer observation times, shows resonances at positions determined by the photon recoil and depends on the initial phase of the drive, providing different lines of evidence for the full quantum character of the ratchet transport. The results provide a proof of principle demonstration of a quantum motor.