Gaussian state for the bouncing quantum cosmology
  We present results concerning propagation of the Gaussian state across the
cosmological quantum bounce. The reduced phase space quantization of loop
quantum cosmology is applied to the Friedman-Robertson-Walker universe with a
free massless scalar field. Evolution of quantum moments of the canonical
variables is investigated. The covariance turns out to be a monotonic function
so it may be used as an evolution parameter having quantum origin. We show that
for the Gaussian state the Universe is least quantum at the bounce. We propose
explanation of this counter-intuitive feature using the entropy of squeezing.
The obtained time dependence of entropy is in agreement with qualitative
predictions based on von Neumann entropy for mixed states. We show that, for
the considered Gaussian state, semiclassicality is preserved across the bounce,
so there is no cosmic forgetfulness.
