  A non-standard quantum deformation of the two-photon algebra $h_6$ is
constructed, and its quantum universal R-matrix is given. Representations of
this new quantum algebra are studied on the Fock space and translated into
Fock-Bargmann realizations that provide a direct formalism for the definition
of deformed states of light. Finally, the isomorphism between $h_6$ and the
(1+1) Schr\"odinger algebra is used to introduce a new (non-standard) Hopf
algebra deformation of this latter symmetry algebra.
