Momentum deficit in quantum glasses

Using the concept of tunneling two-level systems, we explain the reduction of rotational inertia of disordered solid He-4 observed in the torsional oscillator experiments. The key point is a peculiar quantum phenomenon of momentum deficit for two-level systems in moving solids. We show that an unusual state that is essentially different from both normal and superfluid solid states can be realized in quantum glasses. This state is characterized by reduced rotational inertia in oscillator experiments, by the absence of a superflow, and by the normal behavior in steady rotation.