Dynamically contracted algebra of observables for dissipative quantum systems

TL;DR

The paper introduces a method to analyze dissipative quantum systems using a time-dependent product that leads to a contracted algebra, revealing irreversible effects on quantum features over time.

Contribution

It proposes a novel approach employing a time-dependent algebra contraction to study the long-term behavior of dissipative quantum systems.

Findings

Algebra contraction captures dissipative effects on quantum observables

Irreversible changes in quantum features due to dissipation

Method provides new insights into quantum dynamics under dissipation

Abstract

A method is discussed to analyze the dynamics of a dissipative quantum system. The method hinges upon the definition of an alternative (time-dependent) product among the observables of the system. In the long time limit this yields a contracted algebra. This contraction irreversibly affects some of the quantum features of the dissipative system.