This dataset contains mean field observables of a one-dimensional topological gauge theory, the chiral BF theory, in a ring geometry, together with those of a spin-orbit-coupled Bose-Einstein condensate which realizes the quantum simulation of the latter theory. The available data consist of both ground state and time-evolved expectation values corresponding to the results presented in the associated publication.

This dataset presents data on a supersolid phase of matter. The supersolid arises from synthetic spin-orbit coupling coupling of ultracold potassium atoms. The data was obtained from absorption imaging, where absorption of photons is measured with an electron multiplying CCD camera and using a high-numerical-aperture objective.Two different kinds of measurements were performed:1. In-situ images, where the absorption imaging is performed with the atomic cloud in the optical trap and2. Time-of-flights images, measuring the momentum distribution of the cloud by mapping the momentum distribution to density via a time-of-flight expansion.The in-situ images are characterized by a modulated Gaussian with a certain width, spatial modulation phase and modulation period,whereas the time-of-flight images are characterized by the positions of four separate momentum clouds.

This dataset presents data obtained from detecting fluorescence of single atoms trapped in a two-dimensional deep optical lattice. The data was obtained by measuring scattered photons with a high-numerical-aperture objective and imaged on an electron multiplying CCD camera. The data set includes the point spread functionof our imaging system, the number of photons scattered per atom, the position of the atoms and the losses,as well as the size of the cloud and the total value of the fluorescence of all the atoms. The analysis of this data allowed us to characterize the performance of our imaging system and the distribution of the atoms in the optical lattice.