Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Because of their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer in extended free fall. In this Letter we report on the realization of an asymmetric Mach-Zehnder interferometer operated with a Bose-Einstein condensate in microgravity. The resulting interference pattern is similar to the one in the far field of a double slit and shows a linear scaling with the time the wave packets expand. We employ delta-kick cooling in order to enhance the signal and extend our atom interferometer. Our experiments demonstrate the high potential of interferometers operated with quantum gases for probing the fundamental concepts of quantum mechanics and general relativity.

Space offers virtually unlimited free-fall in gravity. Bose-Einstein condensation (BEC) enables ineffable low kinetic energies corresponding to pico-or even femtokelvins. The combination of both features makes atom interferometers with unprecedented sensitivity for inertial forces possible and opens a new era for quantum gas experiments 1, 2 . On January 23, 2017, we created Bose-Einstein condensates in space on the sounding rocket mission MAIUS-1 and conducted 110 experiments central to matter-wave interferometry. In particular, we have explored laser cooling and trapping in the presence of large accelerations as experienced during launch, and have studied the evolution, manipulation and interferometry employing Bragg scattering of BECs during the six-minute space flight. In this letter, we focus on the phase transition and the collective dynamics of BECs, whose impact is magnified by the extended free-fall time. Our experiments demonstrate a high reproducibility of the manipulation of BECs on the atom chip reflecting the exquisite control features and the robustness of our experiment. These properties are crucial to novel protocols for creating quantum matter with designed collective excitations at the lowest kinetic energy scales close to femtokelvins 3 .Quantum systems, such as matter-waves in the presence of a gravitational field 4 , shine new light on our understanding of both, general relativity 5 and quantum mechanics. Since the sensitivity for measuring inertial forces with matter-wave interferometers is proportional to the square of the time the atoms spend in the interferometer 6 , an extended free-fall promises an enormous enhancement in performance 1, 7 . In this context, Bose-Einstein condensates 8, 9 herald a shift in paradigm because they allow us to perform interferometry over macroscopic timescales on the order of tens of seconds. In addition, the extreme coherence length of delta-kick collimated BECs 10-12 , equivalent to temperatures as low as pico-or even femtokelvins, is mandatory to combine precision with accuracy 1 .Despite the generation and manipulation of this state of matter being delicate, we have successfully demonstrated key methods of atom optics in microgravity on board a sounding rocket. Our experimental apparatus 13-15 depicted in Fig. 1 is equipped with a multilayer atom chip 16-18 and achieved an, even for terrestrial experiments, high BEC flux 19 . The latter made it possible to perform a large number of experiments during the space flight, exemplified here by images of the first man-made space BEC (Fig. 1e) and Bragg scattering of a BEC (Fig. 1f). Figure 2 summarises the experiments of the MAIUS-1 mission performed in space, as well as during the launch of the rocket. They are instrumental for NASA's Cold Atom Laboratory 2 (CAL) on the International Space Station (ISS) and for the NASA-DLR multi-user facility Bose-Einstein Condensate and Cold Atom Laboratory (BECCAL), which is presently in the planning phase 20 .In this letter, we report on BEC experiments with Rubidium-87 a...

In the field of cold quantum matter, control of the motional degrees of freedom of both neutral and charged gas-phase molecules has been achieved for a wide range of species 1-11 . However, cooling of the internal degrees of freedom remains challenging. Recently, transfer to the internal ground state by sophisticated optical techniques has been demonstrated for neutral alkali dimers created in single quantum states from ultracold atoms 12-15 . Here we demonstrate cooling of the rotational degree of freedom of heteronuclear diatomic molecules with a thermal distribution of internal states, using a simple, robust and general optical-pumping scheme with two low-power continuous-wave lasers. With trapped and translationally cooled hydrogen deuteride (HD + ) molecular ions as a model system, we achieve 78(4)% rovibrational ground-state population. The rotationally, vibrationally and translationally cold molecular ion ensemble is suitable for a number of applications, such as generation of long-lived coherences or frequency metrology of fundamental constants 16,17 .The study of cold molecular systems promises new insights and advances in many fields of physics and physical chemistry. As in atomic physics, the key to tapping the full potential of molecules is the ability to accurately control the external and internal degrees of freedom of the particles. The complex internal structure of molecules has however so far precluded direct application of many techniques developed for trapping and cooling of atoms, demanding modified or completely new approaches. Now, a large toolbox for trapping and cooling the motional degrees of freedom of both neutral and charged molecules is available 18 . Although general schemes for cooling the internal degrees of freedom of molecules have been proposed 19,20 , the most general method available at present is cryogenic buffer-gas cooling, which is efficient only for molecules in the vibrational ground state and limits the translational temperature to a few hundred millikelvin 7 . Coherent transfer to the rovibrational ground state 11-14 is most suitable when most of the molecules are initially in the same quantum state, as is the case for molecules produced by associating cold atoms.For heteronuclear molecular ensembles for which the population is distributed among many rotational levels in the v = 0 vibrational manifold, optical pumping has been proposed as an approach to rotational cooling 21,22 . We demonstrate here that a scheme using two laser fields driving a fundamental and an overtone vibrational electric dipole transition 21 yields a large ground-state population and briefly discuss the applicability of the scheme to various diatomic molecular species. Figure 1 shows the energy levels (without hyperfine structure) and electric dipole transitions of the HD + molecule relevant for the experiment. The initial internal-state distribution is given by a Boltzmann distribution reflecting thermal equilibrium with the T ∼ = 300 K blackbody radiation field emitted by the experimental Inst...

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