The paper studies quantum states of a Bloch particle in the presence of ext
ernal ac and de fields. Provided the period of the ac field and the Bloch p
eriod are commensurate, an effective scattering matrix is introduced, the c
omplex poles of which are the system quasienergy spectrum. The statistics o
f the resonance width and the Wigner delay time shows a close relation of t
he problem to random matrix theory of chaotic scattering.[S0031 -9007(99)08
408-2].