1 research outputs found
Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders
We introduce an analytical iterative method, the density matrix recursion
method, to generate arbitrary reduced density matrices of superpositions of
short-range dimer coverings on periodic or non-periodic quantum spin-1/2 ladder
lattices, with an arbitrary number of legs. The method can be used to calculate
bipartite as well as multipartite physical properties, including bipartite and
multi-partite entanglement. We apply this technique to distinguish between
even- and odd-legged ladders. Specifically, we show that while genuine
multi-partite entanglement decreases with increasing system size for the
even-legged ladder states, it does the opposite for odd-legged ones.Comment: 13 pages, 3 figures, iopart.cls, final edited versio