Universal parity effects in the entanglement entropy of XX chains with open boundary conditions

Details Universal parity effects in the entanglement entropy of XX chains with open boundary conditions Universal parity effects in the entanglement entropy of XX chains with open boundary conditions

2010-10-27

arxiv.org/abs/1010.5796v1

J.Stat.Mech.1101:P01017,2011

Physics

Condensed Matter

Statistical Mechanics

24 pages, 9 figures

Scientific paper

10.1088/1742-5468/2011/01/P01017

We consider the Renyi entanglement entropies in the one-dimensional XX spin-chains with open boundary conditions in the presence of a magnetic field. In the case of a semi-infinite system and a block starting from the boundary, we derive rigorously the asymptotic behavior for large block sizes on the basis of a recent mathematical theorem for the determinant of Toeplitz plus Hankel matrices. We conjecture a generalized Fisher-Hartwig form for the corrections to the asymptotic behavior of this determinant that allows the exact characterization of the corrections to the scaling at order o(1/l) for any n. By combining these results with conformal field theory arguments, we derive exact expressions also in finite chains with open boundary conditions and in the case when the block is detached from the boundary.

Affiliated with

Also associated with

No associations

Rating

Universal parity effects in the entanglement entropy of XX chains with open boundary conditions 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 Universal parity effects in the entanglement entropy of XX chains with open boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal parity effects in the entanglement entropy of XX chains with open boundary conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582442