Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain

HU Ming-Liang; TIAN Dong-Ping

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2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(11) : 1132-1136

Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain

HU Ming-Liang ^, ,
TIAN Dong-Ping

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061,China

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Abstract：
The pairwise entanglement of the Heisenberg XX chain with next-nearest-neighbor (NNN) interactions was investigated by using the concurrence measure. The results show that for the nearest-neighbor sites, the entanglement may be improved or suppressed depending on the magnitudes of the NNN coupling constant J, while for the next-nearest-neighbor sites, it always increases with the increase of |J|. The critical temperature T_c decreases with the increase of J for the nearest-neighbor entanglement and increases with the increase of |J| for the next-nearest-neighbor entanglement, respectively. We also show that the general Heisenberg XX model still can be used to create the entangled W states of three and four qubits, and that the presence of NNN coupling has no effect on the creation of four-qubit W states, while it shifts the instant of time at which the three-qubit W states are created.

References

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HU Ming-Liang and TIAN Dong-Ping. Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain[J]. Chinese Physics C, 2006, 30(11): 1132-1136.

HU Ming-Liang and TIAN Dong-Ping. Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain[J]. Chinese Physics C, 2006, 30(11): 1132-1136. shu

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Received: 2006-03-07
Revised: 2006-05-22

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Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain

HU Ming-Liang ^,
TIAN Dong-Ping

Corresponding author: HU Ming-Liang,

School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061,China

Received Date: 2006-03-07
Accepted Date: 2006-05-22
Available Online: 2006-11-05

Abstract: The pairwise entanglement of the Heisenberg XX chain with next-nearest-neighbor (NNN) interactions was investigated by using the concurrence measure. The results show that for the nearest-neighbor sites, the entanglement may be improved or suppressed depending on the magnitudes of the NNN coupling constant J, while for the next-nearest-neighbor sites, it always increases with the increase of |J|. The critical temperature T_c decreases with the increase of J for the nearest-neighbor entanglement and increases with the increase of |J| for the next-nearest-neighbor entanglement, respectively. We also show that the general Heisenberg XX model still can be used to create the entangled W states of three and four qubits, and that the presence of NNN coupling has no effect on the creation of four-qubit W states, while it shifts the instant of time at which the three-qubit W states are created.