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For Bose-Einstein condensates in double wells, N-particle Rabi-likeoscillations often seem to be damped. Far from being a decoherence effect, theapparent damping can indicate the emergence of quantum superpositions in themany-particle quantum dynamics. However, in an experiment it would be difficultto distinguish the apparent damping from decoherence effects. The present papersuggests using controlled periodic shaking to quasi-instantaneously switch thesign of an effective Hamiltonian, thus implementing an `echo' technique whichdistinguishes quantum superpositions from statistical mixtures. The scheme forthe effective time-reversal is tested by numerically solving the time-dependentN-particle Schrodinger equation.

Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells