Reduced density matrix and internal dynamics for multicomponent regions

Details Reduced density matrix and internal dynamics for multicomponent regions Reduced density matrix and internal dynamics for multicomponent regions

2009-03-30

arxiv.org/abs/0903.5284v2

Class.Quant.Grav.26:185005,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures, minor changes, references added

Scientific paper

10.1088/0264-9381/26/18/185005

We find the density matrix corresponding to the vacuum state of a massless Dirac field in two dimensions reduced to a region of the space formed by several disjoint intervals. We calculate explicitly its spectral decomposition. The imaginary powers of the density matrix is a unitary operator implementing an internal time flow (the modular flow). We show that in the case of more than one interval this evolution is non-local, producing both, advance in the causal structure and "teleportation" between the disjoint intervals. However, it only mixes the fields on a finite number of trajectories, one for each interval. As an application of these results we compute the entanglement entropy for the massive multi-interval case in the small mass limit.

Affiliated with

Also associated with

No associations

Rating

Reduced density matrix and internal dynamics for multicomponent regions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reduced density matrix and internal dynamics for multicomponent regions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduced density matrix and internal dynamics for multicomponent regions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425923