Abstract
Thermal entanglement of a two-qubit Heisenberg spin chain coupled to a single-mode cavity field is investigated. It is found that (1) thermal entanglement without the rotating-wave approximation (RWA) is explicitly smaller than that obtained with the RWA, which means that the counter-rotating terms have a large impact on thermal entanglement, therefore they cannot be neglected; (2) the case (ω≪Ω) is more beneficial for enhancing thermal entanglement than the resonance case (ω=Ω), the near-resonant case (ω≈Ω) and the case (ω≫Ω); (3) for thermal entanglement, there is a competition process between the exchange coupling J (the direct-coupling between the two two-level atoms) and the coupling constant g (which deduces the indirect effect between the two two-level atoms); the critical value of g increases with the spin coupling strength J.
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Deutsch, D.: Proc. R. Soc. Lond. A 400, 97 (1985)
Cleve, R., Ekert, A., Macchiavello, A., Mosca, M.: Proc. R. Soc. Lond. A 454, 339 (1998)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Nielsen, M.A.: (e-print). quant-ph/0011036 (2001)
Arnesen, M.C., Bose, S., Vedral, V.: Phys. Rev. Lett. 87, 017901 (2001)
Zhou, L., Song, H.S., Guo, Y.Q., Li, C.: Phys. Rev. A 68, 024301 (2003)
Cao, M., Zhu, S.Q.: Phys. Rev. A 71, 034311 (2005)
Zhang, G.F., Li, S.S.: Phys. Rev. A 72, 034302 (2005)
Kheirandish, F., Akhtarshenas, S.J., Mohammadi, H.: Phys. Rev. A 77, 042309 (2008)
Albayraka, E.: Eur. Phys. J. B 72, 491 (2009)
Jiang, C.-L., Fang, M.-F., Hu, Y.-H.: Int. J. Theor. Phys. 48, 1672 (2009)
Sun, Y., Chen, Y.G., Chen, H.: Phys. Rev. A 68, 044301 (2003)
Asoudeh, M., Karimipour, V.: Phys. Rev. A 71, 022308 (2005)
Kim, M.S., Lee, J., Ahn, D., Knight, P.L.: Phys. Rev. A 65, 040101 (2002)
Ferreira, A., Guerreiro, A., Vedral, V.: Phys. Rev. Lett. 96, 060407 (2006)
Wang, H., Liu, S.Q., He, J.Z.: Phys. Rev. E 79, 041113 (2009)
Hill, S., Wootters, W.K.: Phys. Rev. Lett. 78, 5022 (1997)
Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)
Exner, P., Tolar, J.: Czech. J. Phys. B 19, 1480 (1969)
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Zhang, PH., Jing, J. & Yang, GH. Thermal Entanglement of the Two-Qubit Heisenberg Spin Chain Coupled to a Single-Mode Cavity Field. Int J Theor Phys 49, 2517–2522 (2010). https://doi.org/10.1007/s10773-010-0442-y
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DOI: https://doi.org/10.1007/s10773-010-0442-y