Quantum Oscillator in the Thermostat as a Model in the Thermodynamics of Open Quantum Systems

TL;DR

This paper models an open quantum system using a quantum oscillator in a thermostat, demonstrating that thermal equilibrium states are correlated coherent states that saturate uncertainty relations, potentially unifying quantum mechanics and thermodynamics.

Contribution

It shows that thermal equilibrium states of a quantum oscillator in a thermostat are correlated coherent states, providing insights into unifying quantum mechanics with generalized thermodynamics.

Findings

Thermal equilibrium states are correlated coherent states.

SUR are saturated at any temperature.

Potential for a unified statistical theory of quantum mechanics and thermodynamics.

Abstract

The quantum oscillator in the thermostat is considered as the model of an open quantum system. Our analysis will be heavily founded on the use of the Schroedinger generalized uncertainties relations (SUR). Our first aim is to demonstrate that for the quantum oscillator the state of thermal equilibrium belongs to the correlated coherent states (CCS), which imply the saturation of SUR at any temperature. The obtained results open the perspective for the search of some statistical theory, which unifies the elements of quantum mechanics and GDT; this in turn will give the foundation for the modification of the standard thermodynamics.