Entanglement of low-energy excitations in Conformal Field Theory

Details Entanglement of low-energy excitations in Conformal Field Theory Entanglement of low-energy excitations in Conformal Field Theory

2011-01-14

arxiv.org/abs/1101.2881v2

Phys.Rev.Lett.106:201601,2011

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.106.201601

In a quantum critical chain, the scaling regime of the energy and momentum of the ground state and low lying excitations are described by conformal field theory (CFT). The same holds true for the von Neumann and Renyi entropies of the ground state, which display a universal logarithmic behaviour depending on the central charge. In this letter we generalize this result to those excited states of the chain that correspond to primary fields in CFT. It is shown that the n-th Renyi entropy is related to a 2n-point correlator of primary fields. We verify this statement for the critical XX and XXZ chains. This result uncovers a new link between quantum information theory and CFT.

Affiliated with

Also associated with

No associations

Rating

Entanglement of low-energy excitations in Conformal Field Theory 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 Entanglement of low-energy excitations in Conformal Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement of low-energy excitations in Conformal Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79828