Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange

Details Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange

2006-06-25

arxiv.org/abs/quant-ph/0606207v1

Phys. Rev. B 74, 155119 (2006).

Physics

Quantum Physics

5 pages, 7 figures

Scientific paper

10.1103/PhysRevB.74.155119

In this paper we study the concurrence and the block-block entanglement in the $S=1/2$ spin ladder with four-spin ring exchange by the exact diagonalization method of finite cluster of spins. The relationship between the global phase diagram and the ground-state entanglement is investigated. It is shown that the block-block entanglement of different block size and geometry manifests richer information of the system. We find that the extremal point of the two-site block-block entanglement on the rung locates a transition point exactly due to SU(4) symmetry at this point. The scaling behavior of the block-block entanglement is discussed. Our results suggest that the block-block entanglement can be used as a convenient marker of quantum phase transition in some complex spin systems.

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