Squeezed coherent states as thermal-like ones (on the problem of incorporating thermodynamics into quantum theory)

TL;DR

This paper explores how to incorporate thermodynamics into quantum theory using stochastic environmental influences, revealing that squeezed coherent states cannot consistently describe quantum-thermal effects at equilibrium.

Contribution

It introduces a novel approach to include stochastic thermodynamics in quantum theory via Bogoliubov vacua, analyzing the applicability of quantum states to thermal effects.

Findings

Squeezed coherent states are unsuitable for describing quantum-thermal equilibrium effects.

The approach models the environment's influence using arbitrary Bogoliubov vacua.

Quantum and thermal fluctuations can be analyzed simultaneously within this framework.

Abstract

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.