  We consider the compact case of one-dimensional quantum Zakharov system, as
an initial-value problem with periodic boundary conditions. We apply the
Bourgain norm method to show low regularity local well-posedness for a certain
class of Sobolev exponents that are sharp up to the boundary, under the
condition that Schr\"odinger Sobolev regularity is non-negative. Using the
conservation law and energy method, we show global well-posedness for
sufficiently regular initial data, without any smallness assumption. Lastly we
show the semi-classical limit as $\epsilon \to 0$ on a compact time interval,
whereas the quantum perturbation proves to be singular on an infinite time
interval.
