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2024年10月30日

Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field

  • This paper investigates the bipartite entanglement of a two-qubit Heisenberg XXZ chain under an inhomogeneous magnetic field. By the concept of negativity, we find that the inhomogeneity of the magnetic field may induce entanglement and the critical magnetic field is independent of Jz. We also find that the entanglement is symmetric with respect to a zero magnetic field. The anisotropy parameter Jz may enhance the entanglement.

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  • [1] . Bennett C H, Brassard G, Crepeau C et al. Phys. Rev.Lett., 1993, 70: 1895-18992. Divincenzo D P et al. Nature, 2000, 408: 339-3423. Schumacher B. Phys. Rev. A, 51: 27384. Bennett C H, Divincenzo D P. Nature, 2000, 404: 2475. DING S C, JIN Z. Chin. Sci. Bull., 2007, 52(16): 2161-21666. Connor K M O, Wooters W K. Phys. Rev. A, 2001, 63:0523027. Asoudeh M, Karimipour V. Phys. Rev. A, 2005, 71: 022308. WANG X G. Phys. Rev. A, 2001, 64: 0123139. ZHOU L, SONG H S, GUO Y Q et al. Phys. Rev. A, 2003,68: 02430110. Asoudeh M, Karimipour V. Phys. Rev. A, 2005, 71: 02230811. ZHANG G F, LI S S. Phys. Rev. A, 2005, 72: 03430212. QIN M, TAO Y J, HU M L et al. Sci China Ser G-PhysMech Astron, 2008, 51(7): 817-82213. WANG X G, Zanardi P. Phys. Lett. A, 2002, 301: 1-614. TIAN D P, QIN M, TAO Y J et al. HEP NP, 2007,31(11): 1082-1085 (in Chinese)15. HU M L, TIAN D P. Chinese Physics C (HEP NP), 2008,32(4): 303-30716. YANG S, SONG Z, SUN C P. Sci. China Ser G-Phys Mech.Astron, 2008, 51(1): 45-5517. HU M L, TIAN D P. Sci. China Ser G-Phys Mech Astron,2007, 50(2): 208-21418. ZHANG J F, LONG G L, ZHANG W et al. Phys. Rev. A,2005, 72(1): 01233119. LIU D, ZHANG Y, LIU Y et al. Chinese Physics Letters,2007, 24(1): 8|1020. ZHANG Y, LONG G L, WU Y C et al. Commun. Theor.Phys., 2007, 47(5): 787-79021. ZHANG Y, LONG G L. Commun. Theor. Phys., 2007,48(2): 249-25422. LIU D, ZHANG Y, LONG G L. Prog. Natural Sci., 2007,17(10): 1147-115123. Vidal G, Werner R F. Phys. Rev. A, 2002, 65: 03231424. Schliemann J. Phys. Rev. A, 2005, 72: 01230725. Nielsen M A. Ph.D thesis, University of Mexico, 1998
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QIN Meng and TIAN Dong-Ping. Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field[J]. Chinese Physics C, 2009, 33(4): 249-251. doi: 10.1088/1674-1137/33/4/002
QIN Meng and TIAN Dong-Ping. Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field[J]. Chinese Physics C, 2009, 33(4): 249-251.  doi: 10.1088/1674-1137/33/4/002 shu
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Received: 2008-07-28
Revised: 2008-09-12
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Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field

    Corresponding author: QIN Meng,

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This paper investigates the bipartite entanglement of a two-qubit Heisenberg XXZ chain under an inhomogeneous magnetic field. By the concept of negativity, we find that the inhomogeneity of the magnetic field may induce entanglement and the critical magnetic field is independent of Jz. We also find that the entanglement is symmetric with respect to a zero magnetic field. The anisotropy parameter Jz may enhance the entanglement.

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