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

作者：Fagotti Maurizio^*; Calabrese Pasquale

来源：Journal of Statistical Mechanics: Theory and Experiment , 2011, P01017.

DOI：10.1088/1742-5468/2011/01/P01017

• conformal field theory (theory)
• spin chains
• ladders and planes (theory)
• entanglement in extended quantum systems (theory)

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(l(-1)) 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.

• 出版日期2011-1