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We study the dynamic structure factor of two coherent bright solitary wavesin attractive Bose- Einstein condensates confined in a harmonic trap. Wedemonstrate that the wave function of the two solitary waves with a fixedrelative phase shows interference in momentum space. The fringes are shifteddepending on the values of the phase. This momentum interference can beextracted from the dynamic structure factor of the system using stimulatedtwo-photon Bragg scattering. Thus our method provides a way to measure therelative phase directly.

Directly determining the relative phase of two coherent solitary waves in attractive Bose-Einstein condensates