Sciences & Technologie
Volume 1, Numéro 2, Pages 09-12
2016-12-31
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
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