Classical chaotic trajectories in quantum field theory

TL;DR

This paper demonstrates that certain trajectories in quantum field theory behave like classical chaotic systems and explores the role of quantum noise and entanglement in this context.

Contribution

It reveals that trajectories in unitarily inequivalent representations can exhibit classical chaos and discusses quantum noise effects in these systems.

Findings

Trajectories can display classical chaotic properties.

Quantum noise influences system-environment interactions.

Entanglement affects the behavior of trajectories.

Abstract

Trajectories in the space of the unitarily inequivalent representations of the canonical commutation relations are shown to be classical trajectories. Under convenient conditions, they may exhibit properties typical of chaotic behavior in classical nonlinear dynamics. Quantum noise in fluctuating random force in the system--environment coupling and system--environment entanglement is also discussed.