Exact evaluation of density matrix elements for the Heisenberg chain

Details Exact evaluation of density matrix elements for the Heisenberg chain Exact evaluation of density matrix elements for the Heisenberg chain

2006-11-06

arxiv.org/abs/hep-th/0611057v1

J.Stat.Mech.0612:P12017,2006

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 4 eps figures, 3 authors

Scientific paper

10.1088/1742-5468/2006/12/P12017

We have obtained all the density matrix elements on six lattice sites for the spin-1/2 Heisenberg chain via the algebraic method based on the quantum Knizhnik-Zamolodchikov equations. Several interesting correlation functions, such as chiral correlation functions, dimer-dimer correlation functions, etc... have been analytically evaluated. Furthermore we have calculated all the eigenvalues of the density matrix and analyze the eigenvalue-distribution. As a result the exact von Neumann entropy for the reduced density matrix on six lattice sites has been obtained.

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