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Atom interferometers are an exquisite measurement tool for inertial forces. However, they are commonly limited to one single sensitive axis, allowing high-precision multi-dimensional sensing only through subsequent or postcorrected measurements. Here, we introduce a novel 2D-array-arrangement of Bose-Einstein Condensates (BEC) initialized utilizing time-averaged optical potentials for simultaneous multi-axis inertial sensing. Deploying a 3 x 3 BEC array covering 1.6 mm^2, we perform measurements of angular velocity and acceleration of a rotating reference mirror, as well as a linear acceleration, e.g., induced by gravity, gradients, and higher order derivatives. We anticipate increased sensitivity of our method in interferometers with large scale factors in long-baseline or satellite atom interferometry. Our work paves the way for simple high-precision multi-axis inertial sensing and we envision further applications, e.g., for three-dimensional wave front characterization.

The sensitivity of atom interferometers depends on their ability to realize long pulse separation times and prevent loss of contrast by limiting the expansion of the atomic ensemble within the interferometer beam through matter-wave collimation. Here we investigate the impact of atomic interactions on collimation by applying a lensing protocol to a $^{39}$K Bose-Einstein condensate at different scattering lengths. Tailoring interactions, we measure energies corresponding to $340 \pm 12$ pK in one direction. Our results are supported by an accurate simulation, which allows us to extrapolate a 2D ballistic expansion energy of $438 \pm 77$ pK. Based on our findings we propose an advanced scenario, which enables 3D expansion energies below $16$ pK by implementing an additional pulsed delta-kick. Our results pave the way to realize ensembles with more than $1\times10^5$ atoms and 3D energies in the two-digit pK range in typical dipole trap setups without the need for micro-gravity or long baseline environments.

Atom interferometers allow determining inertial effects to high accuracy. Quantum-projection noise as well as systematic effects impose demands on large atomic flux as well as ultra-low expansion rates. Here we report on a high-flux source of ultra-cold atoms with free expansion rates near the Heisenberg limit directly upon release from the trap. Our results are achieved in a time-averaged optical dipole trap and enabled through dynamic tuning of the atomic scattering length across two orders of magnitude interaction strength via magnetic Feshbach resonances. We demonstrate BECs with more than $6\times 10^{4}$ particles after evaporative cooling for $170$ ms and their subsequent release with a minimal expansion energy of $4.5$ nK in one direction. Based on our results we estimate the performance of an atom interferometer and compare our source system to a high performance chip-trap, as readily available for ultra-precise measurements in micro-gravity environments.

Ultracold potassium is an interesting candidate for quantum technology applications and fundamental research as it allows controlling intra-atomic interactions via low-field magnetic Feshbach resonances. However, the realization of high-flux sources of Bose-Einstein condensates remains challenging due to the necessity of optical trapping to use magnetic fields as free parameter. We investigate the production of all-optical $^{39}$K Bose-Einstein condensates with different scattering lengths using a Feshbach resonance near $33$ G. By tuning the scattering length in a range between $75\, a_0$ and $300\, a_0$ we demonstrate a trade off between evaporation speed and final atom number and decrease our evaporation time by a factor of $5$ while approximately doubling the evaporation flux. To this end, we are able to produce fully condensed ensembles with $5.8\times10^4$ atoms within $850$ ms evaporation time at a scattering length of $232\, a_0$ and $1.6\times10^5$ atoms within $3.9$ s at $158\, a_0$, respectively. We deploy a numerical model to analyse the flux and atom number scaling with respect to scattering length, identify current limitations and simulate the optimal performance of our setup. Based on our findings we describe routes towards high-flux sources of ultra-cold potassium for inertial sensing.