Abstract
The question of the critical velocities of superfluid motion in a homogeneous, slightly nonideal two-component Bose gas with point interactions between particles is examined on the basis of the Landau criterion. It is shown that in the motion of the components with different velocities, the velocity of each component is not necessarily less than the minimal phase velocity of the elementary excitations in the nonmoving condensate. The Landau criterion leads to a joint condition on the values of the velocities of the components and the angle between them. It is found that the maximum value of the critical velocity of a given component can be achieved when the other component is at rest or when the components move in mutually perpendicular directions. The results are generalized to the case of a long-range interaction between particles and also for an inhomogeneous two-component Bose gas confined in a cylindrical harmonic potential. It is shown that in these cases the behavior of the critical velocities is qualitatively similar to that in a homogeneous two-component system with point interactions.
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