# Decoherence of nonrelativistic bosonic quantum fields

## TL;DR

This paper introduces a Markovian master equation that causes quantum fields to gradually become classical, preserving certain classical dynamics while suppressing quantum superpositions, and characterizes this process analytically and numerically.

## Contribution

It presents a novel master equation framework for the decoherence of bosonic quantum fields, bridging quantum and classical descriptions.

## Key findings

- Decoherence suppresses quantum superpositions of field configurations.
- Semiclassical dynamics are governed by a linear Boltzmann equation.
- Classicalization occurs gradually and can be characterized analytically and numerically.

## Abstract

We present a generic Markovian master equation inducing the gradual classicalization of a bosonic quantum field. It leads to the decoherence of quantum superpositions of field configurations, while leaving the Ehrenfest equations for both the field and the mode-variables invariant. We characterize the classicalization analytically and numerically, and show that the semiclassical field dynamics is described by a linear Boltzmann equation in the functional phase space of field configurations.