摘要: We extend our earlier work on probing a gravitational cat state (gravcat)---see, arXiv:1504.03103 ---to the quantum superposition of two gravcats in an exemplary model and Bose-Einstein condensates (BEC). In addition to its basic theoretical values physics macroscopic phenomena this investigation can provide some support experimental proposals for measuring gravity-induced entanglement nature perturbative gravity. first part we consider states generated by double-well potentials. Approximated as two-level systems, pair is characterized Rabi oscillations, energy eigenstates. second turn (non-relativistic) field theory description derive Gross-Pitaevsky equation formed BECs. Using mathematical analogy rotors, explore properties two-gravcat system BECs, physical consequences observational possibilities. Finally discuss results comparison predictions alternative theories, explain their implications.