English

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

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0207173,
  title  = {Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement},
  author = {A. Iorio and G. Lambiase and G. Vitiello},
  journal= {arXiv preprint arXiv:quant-ph/0207173},
  year   = {2007}
}

Comments

4 pages, to appear in Proceedings of the XXIV International Colloquium on Group Theoretical Methods in Physics, Paris, 14-21 July 2002