  In our paper [1], we proposed an original approach to the incorporation of
stochastic thermodynamics into quantum theory. It is based on the concept of
consistent inclusion of the holistic stochastic environmental influence modeled
by arbitrary Bogoliubov vacua. In our study, we implement a possibility of
describing the states of the system "an object + arbitrary vacuum" based on the
wave function. The fact that the quantum language is required becomes
especially appreciable in the cases where thermal and quantum fluctuations
occur simultaneously. This allows analyzing different types of quantum states
and estimating the degree of their applicability to the description of thermal
effects. The main result of our study reduces to the fact that squeezed
coherent state (SCS) cannot be used to consistently explain quantum-thermal
effects under conditions of object equilibrium with the stochastic environment
at any temperatures.
