  A phase-space formulation of non-stationary nonlinear dynamics including both
Hamiltonian (e.g., quantum-cosmological) and dissipative (e.g., dissipative
laser) systems reveals an unexpected affinity between seemly different branches
of physics such as nonlinear dynamics far from equilibrium, statistical
mechanics, thermodynamics, and quantum physics. One of the key insights is a
clear distinction between the "vacuum" and "squeezed" states of a
non-stationary system. For a dissipative system, the "squeezed state" (or the
coherent "concentrate") mimics vacuum one and can be very attractable in
praxis, in particular, for energy harvesting at the ultrashort time scales in a
laser or "material laser" physics including quantum computing. The promising
advantage of the phase-space formulation of the dissipative soliton dynamics is
the possibility of direct calculation of statistical (including quantum)
properties of coherent, partially-coherent, and non-coherent dissipative
structure without numerically consuming statistic harvesting.
