Figure 1

(a) Schematic of a moving-guide interferometer. The two horizontal blue bars represent the position of the moving guide at times $t=0$, $T$ (top) and $t=T/2$ (bottom), with the center-of-mass position of a guided atomic wave packet at the three times marked. The optical fields ${\mathbf{E}}^a$ and ${\mathbf{E}}^b$ are pulsed [see (b)]. The atom follows the thick solid curve to interfere at time $t=T$. (b) The $x\mathrm{\text{−}}t$ recoil diagram for the four-pulse scheme. At time $t=T$ the atomic fringe is probed via a Bragg-scattering from ${\mathbf{E}}^a$ to ${\mathbf{E}}^b$. The figure 8 interfering loop marked with thick solid lines corresponds to that in (a). Another loop marked with dashed lines is referred to as a trapezoid loop.Reuse & Permissions

Figure 2

Schematic of the moving-guide interferometry setup in this work. (a) is a zoom-in of (b) at the standing wave zone. (b) and (c) show the arrangement of the permalloy foils and the current-carrying wires. A density plot of the simulated magnetic guiding potential is included in (b) and (c).Reuse & Permissions

Figure 3

Four-pulse interferometry readout in a stationary guide. The four-pulse data (black) is decomposed into the solid and the dashed curves that correspond to the contributions from the figure 8 and trapezoid loops in Fig. 1, respectively. (a) Interferometry amplitude (b) Interferometry phase with an inset plot around 50 ms. The phases in (b) have been unwrapped. The error bars give the phase noise due to mirror vibrations.Reuse & Permissions

Figure 4

Top: Absorption images of the guided atomic sample following the moving guide in 50 ms. The graphs are expanded along the ${\mathbf{e}}_y$ direction for clarity. A cosine curve is added as a guide for the readers’ eyes. Bottom: Interferometer signals for the case of stationary (black) and moving (red/gray) guides. In (c), (d) the error bars indicate the standard phase deviation due to mirror vibrations. Notice the scale difference between Fig. 3b and (c) here.Reuse & Permissions