Distinctive features in the quantum sub-dynamics of bipartite systems

TL;DR

This paper investigates the unique features of sub-dynamics in bipartite quantum systems, introducing a novel operator approach that reveals quasi-particle-like behavior and the effects of entanglement, exemplified through the Jaynes-Cummings model.

Contribution

It introduces a new method for analyzing sub-dynamics in bipartite quantum systems, highlighting quasi-particle-like features and the impact of entanglement.

Findings

Sub-dynamics exhibit quasi-particle-like properties.

Interaction and entanglement cause dressing of representations.

The approach is demonstrated using the Jaynes-Cummings model.

Abstract

Distinctive features in the sub-dynamics of an interacting bipartite system are explored. The sub-dynamic Heisenberg operators are introduced in a novel way leading to the quasi-particle-like concept in the respective subsystems. This formulation is illustrated using the known exact solutions of the generic (Jaynes - Cummings) model of interacting bipartite system of a spin 1/2 particle and a single mode electromagnetic field (more generally, boson field). The striking effects of interaction and entanglement are reflected in the dressing of the non-interacting number and spin representations, displaying quasi-particle-like properties. This development may be at the heart of the physics of back - action discussed in the recent literature.