dorsal/arxiv
View SchemaQuantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
| Authors | Jun-Liang Song, Shi-Jian Gu, Hai-Qing Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606207 |
| URL | https://arxiv.org/abs/quant-ph/0606207 |
| DOI | 10.1103/PhysRevB.74.155119 |
| Journal | Phys. Rev. B 74, 155119 (2006). |
Abstract
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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"abstract": "In this paper we study the concurrence and the block-block entanglement in\nthe $S=1/2$ spin ladder with four-spin ring exchange by the exact\ndiagonalization method of finite cluster of spins. The relationship between the\nglobal phase diagram and the ground-state entanglement is investigated. It is\nshown that the block-block entanglement of different block size and geometry\nmanifests richer information of the system. We find that the extremal point of\nthe two-site block-block entanglement on the rung locates a transition point\nexactly due to SU(4) symmetry at this point. The scaling behavior of the\nblock-block entanglement is discussed. Our results suggest that the block-block\nentanglement can be used as a convenient marker of quantum phase transition in\nsome complex spin systems.",
"arxiv_id": "quant-ph/0606207",
"authors": [
"Jun-Liang Song",
"Shi-Jian Gu",
"Hai-Qing Lin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevB.74.155119",
"journal_ref": "Phys. Rev. B 74, 155119 (2006).",
"title": "Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange",
"url": "https://arxiv.org/abs/quant-ph/0606207"
},
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