Non-Markovian interaction of many fields

TL;DR

This paper investigates how multiple quantum fields in coherent states interact under non-Markovian dissipation, providing an algebraic solution and explaining the preservation of coherence.

Contribution

It offers a novel algebraic solution for multi-field interactions in non-Markovian environments, elucidating coherence preservation.

Findings

Coherent states remain coherent under non-Markovian dissipation.

Two-field interactions serve as fundamental building blocks.

Algebraic solutions are derived for the interaction system.

Abstract

We study the interaction between several fields initially in coherent states. The solution allows us to explain why coherent states remain coherent states when subject to non-Markovian dissipation. We first study the interaction between two fields and show that this is the building block of the total interaction. We give a completely algebraic solution of this system.