  The macroscopic quantum states of the dilute bosonic ensemble in helical
laser trap at the temperatures about $10^{-6}\bf {K}$ are considered in the
framework of the Gross-Pitaevskii equation. The helical interference pattern is
composed of the two counter propagating Laguerre-Gaussian optical vortices with
opposite orbital angular momenta $\ell \hbar$ and this pattern is driven in
rotation via angular Doppler effect. Macroscopic observables including linear
momentum and angular momentum of the atomic cloud are evaluated explicitly. It
is shown that rotation of reference frame is transformed into translational
motion of the twisted matter wave. The speed of translation equals the group
velocity of twisted wavetrain $V_z= \Omega\ell/ k$ and alternates with a sign
of the frame angular velocity $\Omega$ and helical pattern handedness $\ell$.
We address detection of this effect using currently accessible laboratory
equipment with emphasis on the difference between quantum and classical fluids.
