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Shan, Chuan-Jia; Chen, Tao; Liu, Ji-Bing; Cheng, Wei-Wen; Liu, Tang-Kun; Huang, Yan-Xia; Li, Hong

Controlling sudden birth and sudden death of entanglement at finite temperature. (English) Zbl 1190.81076

Int. J. Theor. Phys. 49, No. 4, 717-727 (2010).
Summary: The decoherence and the decay of quantum entanglement due to both population relaxation and thermal effects are investigated for the two qubits initially prepared in the extended Werner-like state by solving the Lindblad form of the master equation, where each qubit is interacting with an independent reservoir at finite temperature \(T\). Entanglement sudden death and entanglement sudden birth are observed during the evolution process. We analyze in detail the effects of the mixedness, the degree of entanglement of the initial states and finite temperature on the time of entanglement sudden death and entanglement sudden birth. We also obtain an analytic formula for the steady state concurrence that shows its dependence on both the system parameters, the decoherence rate and finite temperature. These results arising from the combination of extended Werner-like initial state and independent thermal reservoirs suggest an approach to control the maximum possible concurrence even after the purity and finite temperature induce sudden birth, death and revival.

Cited in 4 Documents

MSC:

81S22 Open systems, reduced dynamics, master equations, decoherence
81P40 Quantum coherence, entanglement, quantum correlations
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

Keywords:

entanglement sudden death (birth); extended Werner-like state; stable entanglement
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References:

[1] Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993) · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895
[2] Xue, Z.Y., Yang, M., Yi, Y.M., Cao, Z.L.: Opt. Commun. 258, 315 (2006) · doi:10.1016/j.optcom.2005.08.003
[3] Wei, H., Deng, Z.J., Zhang, X.L., Feng, M.: Phys. Rev. A 76, 054304 (2007)
[4] Wei, H., Fang, R.R., Liu, J.B., et al.: J. Phys. B 41, 085506 (2008) · doi:10.1088/0953-4075/41/8/085506
[5] Xue, Z.Y., Yi, Y.M., Cao, Z.L.: Physica A 374, 119 (2007) · doi:10.1016/j.physa.2006.06.024
[6] Xue, Z.Y., Yi, Y.M., Cao, Z.L.: J. Mod. Opt. 53, 2725 (2006) · Zbl 1121.78372 · doi:10.1080/09500340600829333
[7] Grover, L.: Phys. Rev. Lett. 80, 4329 (1998) · doi:10.1103/PhysRevLett.80.4329
[8] Shan, C.J., Liu, J.B., Liu, T.K., Huang, Y.X., Li, H.: Int. J. Theor. Phys. 48, 1516 (2009) · Zbl 1168.81321 · doi:10.1007/s10773-008-9924-6
[9] Wei, H., Yang, W.L., Zhou, F., Fang, R.R., Zhang, X.L.: Int. J. Theor. Phys. 48, 1781 (2009) · Zbl 1167.81358 · doi:10.1007/s10773-009-9949-5
[10] Wang, X.G.: Phys. Rev. A 64, 012313 (2001)
[11] Wang, X.G.: Phys. Rev. A 66, 044305 (2002)
[12] Wang, X.G.: Phys. Rev. A 66, 034302 (2002)
[13] Metwally, N.: Int. J. Theor. Phys. 48, 623 (2009)
[14] Zhou, L., Song, H.S., Guo, Y.Q., Li, C.: Phys. Rev. A 68, 024301 (2003)
[15] Zhang, G.F., Li, S.S.: Phys. Rev. A 72, 034302 (2005)
[16] Obada, A.-S.F., Hessian, H.A., Hashem, M.: Int. J. Theor. Phys. 48, 3643 (2009) · Zbl 1186.81025 · doi:10.1007/s10773-009-0152-5
[17] Loss, D., DiVincenzo, D.P.: Phys. Rev. A 57, 120 (1998) · doi:10.1103/PhysRevA.57.120
[18] Kane, B.E.: Nature (London) 393, 133 (1998) · doi:10.1038/30156
[19] Nishiyama, M., et al.: Phys. Rev. Lett. 98, 047002 (2007) · doi:10.1103/PhysRevLett.98.047002
[20] Sørensen, A., Mølmer, K.: Phys. Rev. Lett. 83, 2274 (1999) · doi:10.1103/PhysRevLett.83.2274
[21] Duan, L.M., Demler, E., Lunkin, M.D.: Phys. Rev. Lett. 91, 090402 (2003) · doi:10.1103/PhysRevLett.91.090402
[22] Lidar, D.A., Bacon, D., Whaley, K.B.: Phys. Rev. Lett. 82, 4556 (1999) · doi:10.1103/PhysRevLett.82.4556
[23] Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93, 140404 (2004)
[24] Yu, T., Eberly, J.H.: Phys. Rev. Lett. 97, 140403 (2006)
[25] Shan, C.J., Xia, Y.J.: Acta. Phys. Sin. 55, 1585 (2006)
[26] Shan, C.J., Cheng, W.W., Liu, T.K., Huang, Y.X., Li, H.: Chin. Phys. Lett. 25, 3115 (2008) · doi:10.1088/0256-307X/25/9/006
[27] Shan, C.J., Cheng, W.W., Liu, T.K., Huang, Y.X., Li, H.: Chin. Phys. B 17, 0794 (2008) · doi:10.1088/1674-1056/17/3/010
[28] Man, Z.X., Xia, Y.J., An, N.B.: J. Phys. B 41, 085503 (2008)
[29] Bellomo, B., Lo Franco, R., Compagno, G.: Phys. Rev. A 77, 032342 (2008) · Zbl 1237.81014 · doi:10.1103/PhysRevA.77.032342
[30] Dajka, J., Mierzejewski, M., Lczka, J.: Phys. Rev. A 77, 042316 (2008)
[31] Li, D.C., Wang, X.P., Cao, Z.L.: J. Phys. Condens. Matter 20, 325229 (2008)
[32] Li, D.C., Cao, Z.L.: Eur. Phys. J. D 50, 207 (2008) · doi:10.1140/epjd/e2008-00208-x
[33] Jing, J., Lü, Z.G., Yang, G.H.: Phys. Rev. A 76, 032322 (2007) · doi:10.1103/PhysRevA.76.032322
[34] Ma, J.M., Jiao, Z.Y., Li, N.: Int. J. Theor. Phys. 46, 2550 (2007) · Zbl 1133.81375 · doi:10.1007/s10773-007-9370-x
[35] Ikram, M., Li, F.L., Zubairy, M.S.: Phys. Rev. A 75, 062336 (2007) · doi:10.1103/PhysRevA.75.062336
[36] Su, X.Q., Wang, A.M., Ma, X.S., Qiu, L.: J. Phys. B 40, 11385 (2007)
[37] Almeida, M.P., et al.: Science 316, 579 (2007) · doi:10.1126/science.1139892
[38] Laurat, J., et al.: Phys. Rev. Lett. 99, 180504 (2007) · doi:10.1103/PhysRevLett.99.180504
[39] Ficek, Z., Tanas, R.: Phys. Rev. A 77, 054301 (2008) · doi:10.1103/PhysRevA.77.054301
[40] López, C.E., Romero, G., Lastra, F., Solano, E., Retamal, J.C.: Phys. Rev. Lett. 101, 080503 (2008)
[41] Braun, D.: Phys. Rev. Lett. 89, 277901 (2002)
[42] Hartmann, L., Dür, W., Briegel, H.J.: Phys. Rev. A 74, 052304 (2007)
[43] Lindblad: Commun. Math. Phys. 48, 199 (1976) · Zbl 0343.47031 · doi:10.1007/BF01608499
[44] Werner, R.F.: Phys. Rev. A 40, 4277 (1989) · Zbl 1371.81145 · doi:10.1103/PhysRevA.40.4277
[45] Cao, X.F., Zheng, H.: Phys. Rev. A 77, 022320 (2008)
[46] Al-Qasimi, A., James, D.F.V.: Phys. Rev. A 77, 012117 (2008) · doi:10.1103/PhysRevA.77.012117
[47] Wooters, W.K.: Phys. Rev. Lett. 80, 2245 (1998) · Zbl 1368.81047 · doi:10.1103/PhysRevLett.80.2245
[48] Wang, J., Batelaan, H., Podany, J., Starace, A.F.: J. Phys. B 39, 4343 (2006) · doi:10.1088/0953-4075/39/21/001
[49] Mohseni, M., Lidar, D.A.: Phys. Rev. Lett. 94, 040507 (2005) · doi:10.1103/PhysRevLett.94.040507
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