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Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement

A. Iorio·G. Lambiase·G. Vitiello
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Abstract

A suitable deformation of the Hopf algebra of the creation and annihilation operators for a complex scalar field, initially quantized in Minkowski space--time, induces the canonical quantization of the same field in a generic gravitational background. The deformation parameter q turns out to be related to the gravitational field. The entanglement of the quantum vacuum appears to be robust against interaction with the environment.

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A. Iorio, G. Lambiase, G. Vitiello. 2002-07-30. Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement. https://arxiv.org/abs/quant-ph/0207173

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