Dynamics of field observables in quantum channels

Abstract We consider the time evolution of the mean values of the quadrature operators’ observables and the dynamics of the mean photon number variance for an arbitrary quantum state in a single mode transmitted through an optical fiber channel. Utilizing the density matrix formalism and the quantum optics theory we derive expressions for the dynamics of mentioned field observables for such prominent quantum states as squeezed vacuum state, squeezed coherent state and superposition of coherent states.