Decoherence and the Branching of Chaos-less Classical Trajectory

TL;DR

This paper investigates the classicality of nuclei, revealing that decoherence requires both trajectory intersections and branching, with interactions causing sufficient trajectory branchings for decoherence.

Contribution

It introduces a new rule for decoherence showing that trajectory branching, not just intersection, is essential in non-chaotic models.

Findings

Decoherence involves trajectory intersection and branching.

Interactions must induce enough trajectory branchings.

Branching is necessary for classicality in non-chaotic systems.

Abstract

This study was started to know mysterious classicality of nuclei. This time, I found a new rule for decoherence. I used a model without chaos. As a result, it was shown that not only the intersection of classical trajectories but also branching of classical trajectories are needed for decoherence. In other words, it was shown that interactions between a main system and environments have to make enough branchings of classical trajectories of the main system for decoherence.