  The wave properties of solitons in a two-component Bose-Einstein condensates
with attractive interactions or repulsive interactions are investigated in
detail. We demonstrate that dark solitons in one of component admit
interference and tunneling behaviour, in sharp contrast to the scalar dark
solitons and vector dark solitons. The analytic analysis of interference
properties shows that spatial interference pattern is determined by the
relative velocity of solitons, while temporal interference pattern depends on
the velocities and widths of two solitons, differing from the interference
properties of scalar bright solitons. Especially, for attractive interactions
system, we show that interference effects can induce some short-time density
humps (whose densities are higher than background density) during the collision
process of dark solitons. Moreover, the maximum hump value is remarkably
sensitive to the variation of the solitons' parameters. For repulsive
interactions system, the temporal-spatial interference periods have lower
limits. Numerical simulations results suggest that interference patterns for
dark-bright solitons are more robust against noises than bright-dark solitons.
These explicit interference properties can be used to measure the velocities
and widths of solitons. It is expected that these interference behaviour can be
observed experimentally and could be used to design matter wave soliton
interferometry in vector systems.
