Sciences & technologie. A, sciences exactes
Volume 0, Numéro 40, Pages 65-69
2014-12-31

Pure State Entanglement Entropy In Noncommutative 2d De Sitter Space Time

Authors : Ghiti M. F . Aissaoui H .

Abstract

Using the general modified field equation, a general noncommutative Klein-Gordon equation up to the second order of the noncommutativity parameter is derived in the context of noncommutative 2D De Sitter space-time. Using Bogoliubov coefficients and a special technics called conformal time; the boson-antiboson pair creation density is determined. The Von Neumann boson-antiboson pair creation quantum entanglement entropy is presented to compute the entanglement between the modes created presented.

Keywords

Noncommutative Klein Gordon equation, Pair creation density, Quantum entanglement, Von Neumann entropy.