Quantum fluctuations in a laser soliton

In the framework of consistent quantum electrodynamics, derived is the Heisenberg-Langevin equation for spatial laser soliton. Discussed are in detail the canonical variables for the generation field and for a material two-level medium consisting of a medium that forms laser generation and saturated absorption medium. It is assumed that laser generation evolves in time much slower than the atomic medium. This makes it possible to apply adiabatic approximation and construct a closed equation for the amplitude of the laser field. When deriving the equation special attention is paid to the definition of Langevin sources that play a decisive role in the formation of quantum statistical features of solitons. In order to provide a procedure of observation of soliton quantum squeezing, synchronization of laser generation by an external weak electromagnetic beam is introduced.