Fig. 2: Principle of Floquet acceleration.
From: Optimal Floquet state engineering for large scale atom interferometers
a The time variation of the optical lattice consists of a periodic series of π pulses of duration τ and amplitude Ω, illustrated here with tanh pulses. b The resonance condition in the laboratory frame is adjusted for each pulse, resulting in a stepwise evolution of the lattice frequency. c In the accelerated frame, the lattice frequency ωa shows a periodic sawtooth shape, resulting in τ-periodic driving of the lattice. OC-1 and OC-2 represent the optimal Floquet state preparation pulses. d Stack of experimental images showing accelerated atoms at different steps of the acceleration sequence for NF = 20. The images are taken after a time-of-flight showing the momentum distributions of the input state \(\left\vert {p}_{0}\right\rangle\), the output state is \(\left\vert {p}_{0}\right\rangle\) in the accelerated frame (\(\left\vert {p}_{0}-2{N}_{F}\hslash k\right\rangle\) in the free fall frame) and the prepared Floquet state \(\left\vert {w}_{0}\right\rangle\) during the periodic acceleration sequence. e, f Calculated Population and phase decompositions of the transported Floquet state in the momentum states basis for a 5.3 μs square pulse. g Corresponding phase space Husimi representation of the Floquet state (see Supplementary Material).
