We propose a multi-qubit Bose–Einstein-condensate (BEC) trap as a platform for studies of quantum statistical phenomena in many-body interacting systems. In particular, it could facilitate testing atomic boson sampling of the excited-state occupations and its quantum advantage over classical computing in a full, controllable and clear way. Contrary to a linear interferometer enabling Gaussian boson sampling of non-interacting non-equilibrium photons, the BEC trap platform pertains to an interacting equilibrium many-body system of atoms. We discuss a basic model and the main features of such a multi-qubit BEC trap.

We suggest a new platform for examination of quantum statistical phenomena in many-body interacting systems – a multi-qubit Bose-Einstein-condensate (BEC) trap. Ideally, it is suitable for demonstrating manifestations of quantum supremacy of such systems through atomic boson sampling of excited-state occupations. This is wholly different than the linear-interferometer platform which uses Gaussian boson sampling of non-interacting non-equilibrium photons rather than interacting atoms in equilibrium. We present a basic model of the multi-qubit BEC trap and illustrate its essential properties by means of numerical simulations.