Quantum Separability of the vacuum for Scalar Fields with a Boundary

Abstract

Using the Green's function approach we investigate separability of the vacuum state of a massless scalar field with a single Dirichlet boundary. Separability is demonstrated using the positive partial transpose criterion for effective two-mode Gaussian states of collective operators. In contrast to the vacuum energy, entanglement of the vacuum is not modified by the presence of the boundary.

4 pages, 1 figure, Revtex, minor corrections. submitted to Phy. Rev. A

References in corpus (2)

• Determination of continuous variable entanglement by purity measurements
• Entanglement between Collective Operators in a Linear Harmonic Chain