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The density fluctuations that we observe in the universe today are thought tooriginate from quantum fluctuations produced during a phase of the earlyuniverse called inflation. By evolving a wavefunction describing two coupledFourier modes of a scalar field forward through an inflationary epoch, wedemonstrate that non-linear effects can result in a generation of entanglemententropy between modes with different momenta in a scalar field during theinflationary period when just one of the modes is observed. Through thismechanism, the field would experience decoherence and appear more like aclassical distribution today; however the mechanism is not sufficientlyefficient to explain classicality. We find that the amount of entanglemententropy generated scales roughly as a power law S \propto \lambda^{1.75}, where\lambda is the coupling coefficient of the non-linear potential term. We alsoinvestigate how the entanglement entropy scales with the duration of inflationand compare various entanglement measures from the literature with the vonNeumann entropy. This demonstration explicitly follows particle creation andinteractions between modes; consequently, the mechanism contributing to thegeneration of the von Neumann entropy can be easily seen.

Characterizing Entanglement Entropy Produced by Non-Linear Scalar Interactions During Inflation