  Spectrum of boson fields and two-point correlators are analyzed in quantum
crossbars (QCB, a superlattice formed by two crossed interacting arrays of
quantum wires), with short range inter-wire interaction. It is shown that the
standard bosonization procedure is valid, and the system behaves as a sliding
Luttinger liquid in the infrared limit, but the high frequency spectral and
correlation characteristics have either 1D or 2D nature depending on the
direction of the wave vector in the 2D Brillouin zone. As a result, the
crossover from 1D to 2D regime may be experimentally observed. Plasmon
propagation in arbitrary direction is possible. Periodic energy transfer
between arrays ("Rabi oscillations") is predicted.
