Quantum Degrees of Freedom, Quantum Integrability and Entanglment Generators

TL;DR

This paper explores how quantum dynamical systems generate entanglement through internal dynamics, establishing that non-integrability is a key factor, supported by various illustrative examples.

Contribution

It introduces a connection between quantum integrability and generalized entanglement using the dynamical algebra framework, highlighting the role of non-integrability.

Findings

Non-integrable quantum systems generate entanglement via internal dynamics.

Quantum integrability prevents the generation of generalized entanglement.

Examples demonstrate the theoretical relation between integrability and entanglement.

Abstract

Dynamical algebra notion of quantum degrees of freedom is utilized to study the relation between quantum dynamical integrability and generalized entanglement. It is argued that a quantum dynamical system generates generalized entanglement by internal dynamics if and only if it is quantum non-integrable. Several examples are used to illustrate the relation.