Rotation-mediated bosonic Josephson junctions in position and momentum spaces

In ultracold atoms, bosons tunneling in a double-well potential can produce a typical Josephson junction in real space. A major advancement in quantum matter and simulations is anticipated by the recently found momentum-space Josephson junction effect, which elucidates the supercurrent flow between spin-orbit coupled Bose-Einstein condensates at two distinct independent momentum states. For the first time, our study unveils specific protocols to engineer momentum-space Josephson dynamics for scalar bosons (or a single-component condensate) in a rotating frame through modulation of the geometry of a double-well trapping potential and rotation frequencies. In this setup, rotation simultaneously results in effective double wells both in position and in momentum spaces, and the dynamics of the corresponding Josephson junctions is hosted in these double wells. Consequently, it is observed that the rotation generates momentum-space Josephson dynamics of the condensate along the transverse direction and position-space Josephson dynamics along the longitudinal direction; these effects are particularly noticeable for high rotation frequencies. Additionally, the rotation-induced momentum-space effects are highly significant in both the mean-field and many-body dynamics. Our protocols offer a framework for investigating momentum-space Josephson effects for single-component condensate in both theoretical and experimental contexts, as well as their significant applications in quantum mechanical devices.