Universal corrections to scaling for block entanglement in spin-1/2 XX chains

Details Universal corrections to scaling for block entanglement in spin-1/2 XX chains Universal corrections to scaling for block entanglement in spin-1/2 XX chains

2010-06-17

arxiv.org/abs/1006.3420v1

J. Stat. Mech. (2010) P08029

Physics

Condensed Matter

Statistical Mechanics

25 pages, 5 figures

Scientific paper

10.1088/1742-5468/2010/08/P08029

We consider the R\'enyi entropies $S_n(\ell)$ in the one dimensional spin-1/2 Heisenberg XX chain in a magnetic field. The case n=1 corresponds to the von Neumann ``entanglement'' entropy. Using a combination of methods based on the generalized Fisher-Hartwig conjecture and a recurrence relation connected to the Painlev\'e VI differential equation we obtain the asymptotic behaviour, accurate to order ${\cal O}(\ell^{-3})$, of the R\'enyi entropies $S_n(\ell)$ for large block lengths $\ell$. For n=1,2,3,10 this constitutes the 3,6,10,48 leading terms respectively. The o(1) contributions are found to exhibit a rich structure of oscillatory behaviour, which we analyze in some detail both for finite $n$ and in the limit $n\to\infty$.

Affiliated with

Also associated with

No associations

Rating

Universal corrections to scaling for block entanglement in spin-1/2 XX chains 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 corrections to scaling for block entanglement in spin-1/2 XX chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal corrections to scaling for block entanglement in spin-1/2 XX chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-551641