Quantum decoherence from entanglement during inflation

TL;DR

This paper investigates how primary entanglement influences quantum decoherence during inflation, revealing that entanglement significantly affects the system's quantum state and couples dynamical equations, impacting scalar quantum field theories in curved spacetime.

Contribution

It demonstrates the crucial role of primary entanglement in decoherence and shows that entanglement couples dynamical equations, challenging the assumption of independent interaction terms.

Findings

Primary entanglement significantly affects decoherence.

Entanglement couples dynamical equations in the system.

Independence of interaction terms is generally broken by entanglement.

Abstract

We study the primary entanglement effect on the decoherence of fields reduced density matrix which are in interaction with another fields or independent mode functions. We show that the primary entanglement has a significant role in decoherence of the system quantum state. We find that the existence of entanglement could couple dynamical equations coming from Schr\"{o}dinger equation. We show if one wants to see no effect of the entanglement parameter in decoherence then interaction terms in Hamiltonian can not be independent from each other. Generally, including the primary entanglement destroys the independence of the interaction terms. Our results could be generalized to every scalar quantum field theory with a well defined quantization in a given curved space time.