Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders

Details Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders

2011-10-17

arxiv.org/abs/1110.3646v1

Physics

Quantum Physics

5 pages, RevTeX4, 3 figures

Scientific paper

We introduce an analytical iterative method, the density matrix recursion method, to generate arbitrary reduced density matrices, and bipartite as well as multipartite entanglement of multi-legged periodic spin-1/2 quantum Heisenberg ladders with an arbitrary number of legs. We apply this technique to distinguish between even- and odd-legged ladders. Specifically, we show that while multipartite entanglement decreases with increasing system-size for even-legged ladders, it does the opposite for odd-legged ones.

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