The influence of spontaneously generated coherence on atom-photon entanglement in a Λ-type system with an incoherent pump

Xin Yang 1 , Dong Yan 2 , Qianqian Bao 3 , Yan Zhang 4 , and Cuili Cui 1
  • 1 College of Physics, Jilin University, Qianjin Street 2699, 130012, Changchun, China
  • 2 School of Science, Changchun University, Weixing Road 6543, 130022, Changchun, China
  • 3 School of Physics, Liaoning University, Chongshan Middle Road 66, 110036, Shenyang, China
  • 4 College of Physics, Northeast Normal University, People Street 5268, 130024, Changchun, China

Abstract

Owing to interference induced by spontaneous emission, the density-matrix equations in a three-level Λ-type system have an additional coherence term, which plays a critical role in modulating the inversionless gain and electromagnetically induced transparency effect. In addition, it is shown that spontaneously generated coherence (SGC) has an effect on the entanglement between an atom and a photon of the coupling laser field by calculating the degree of entanglement (DEM) of the atomic system. In this paper, we investigate the influence of the SGC effect on atom-photon entanglement in a Λ-type system, which generally remains a high entangled state. When an incoherent pump source is introduced, we find that the SGC effect could exert considerable influence on the atom reduced entropy under certain conditions for both transient and steady states. More interestingly, such an incoherent pump field could actively affect the short-time dynamic behaviors of the transient quantum entangled state at a certain range of pump rate as a typical coherent case.

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  • [1] G. L. Cheng et al., Chin. Phys. B 21, 084206 (2012) http://dx.doi.org/10.1088/1674-1056/21/8/084206

  • [2] H. Nihira, C. Stroud, Phys. Rev. A 80 (2009)

  • [3] C. Spengler et al., Quantum. Inf. Processing 12, 269 (2012) http://dx.doi.org/10.1007/s11128-012-0369-8

  • [4] Z. H. Tang, G. X. Li, J. Phys. B 45, 165501 (2012) http://dx.doi.org/10.1088/0953-4075/45/16/165501

  • [5] A. Mortezapour, M. Abedi, M. Mahmoudi, M. R. H. Khajehpour, J. Phys. B: At. Mol. Opt. Phys. 44, 085501 (2011) http://dx.doi.org/10.1088/0953-4075/44/8/085501

  • [6] J. Cheng, Y. Han, L. Zhou, J. Phys. B: At. Mol. Opt. Phys. 45, 015505 (2012) http://dx.doi.org/10.1088/0953-4075/45/1/015505

  • [7] B. Arzhang, M. Sahrai, D. Taherkhani, H. R. Hamedi, Optik 124, 3861 (2013) http://dx.doi.org/10.1016/j.ijleo.2012.11.072

  • [8] C. Spee, J. I. D. Vicente, B. Kraus, Phys. Rev. A 88, 110305 (2013) http://dx.doi.org/10.1103/PhysRevA.88.010305

  • [9] F. Altintas, R. Eryigit, Quantum. Inf. Processing 12, 2251 (2013) http://dx.doi.org/10.1007/s11128-012-0522-4

  • [10] E. G. Brown et al., Ann. Phys. 337, 153 (2013) http://dx.doi.org/10.1016/j.aop.2013.06.015

  • [11] D. Bouwmeester, J. W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature 390, 575 (1997) http://dx.doi.org/10.1038/37539

  • [12] C. Bennett, S. Wiesner, Phys. Rev. L 69, 2881 (1992) http://dx.doi.org/10.1103/PhysRevLett.69.2881

  • [13] M. Killery, V. Buzek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)

  • [14] B. Lanyon et al., Phys. Rev. L 99, 290505 (2007)

  • [15] B. C. Sanders, J. Phys. A 45, 244002 (2012) http://dx.doi.org/10.1088/1751-8113/45/24/244002

  • [16] M. Hein, J. Eisert, H. Briegel, Phys. Rev. A 69, 062311 (2004) http://dx.doi.org/10.1103/PhysRevA.69.062311

  • [17] C. H. Bennett, Phys. Rev. A 53, 2046 (1996)

  • [18] S. Phoenix, P. Knight, Phys. Rev. A 44, 6023 (1991) http://dx.doi.org/10.1103/PhysRevA.44.6023

  • [19] S. Popescu, D. Rohrlich, Found. Phys. 24, 3795 (1994)

  • [20] L. Henderson, V. Vedral, J. Phys. A 34, 6899 (2001) http://dx.doi.org/10.1088/0305-4470/34/35/315

  • [21] M. J. Faghihi, M. K. Tavassoly, J. Phys. B 46, 145506 (2013) http://dx.doi.org/10.1088/0953-4075/46/14/145506

  • [22] B. Yurke, D. Stoler, Phys. Rev. L. 57, 13 (1986) http://dx.doi.org/10.1103/PhysRevLett.57.13

  • [23] B. Yurke, D. Stoler, Phys. Rev. A 35, 4846 (1987) http://dx.doi.org/10.1103/PhysRevA.35.4846

  • [24] S. Glancy, H. M. D. Vasconcelos, J. Opt. Soc. Am. B 25, 4846 (2008)

  • [25] U. Titulaer, R. Glauber, Phys. Rev. 145, 1041 (1966) http://dx.doi.org/10.1103/PhysRev.145.1041

  • [26] A. Kitaev, D. Mayers, J. Preskill, Phys. Rev. A 69, 052326 (2004) http://dx.doi.org/10.1103/PhysRevA.69.052326

  • [27] L. Davidovich et al., Phys. Rev. L, 71, 2360 (1993) http://dx.doi.org/10.1103/PhysRevLett.71.2360

  • [28] M. Paternostro, M. Kim, B. Ham, Phys. Rev. A 67, 023811 (2003) http://dx.doi.org/10.1103/PhysRevA.67.023811

  • [29] Y. Guo, and L. M. Kuang, Chin. Phys. L 22, 595 (2005) http://dx.doi.org/10.1088/0256-307X/22/3/021

  • [30] K. J. Boller, A. Imamolu, S. Harris, Phys. Rev. L 66, 2593 (1991) http://dx.doi.org/10.1103/PhysRevLett.66.2593

  • [31] L. Silvestri, F. Bassani, G. Czajkowski, B. Davoudi, Eur. J. Ph. B 27, 89 (2002)

  • [32] J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. L 67, 22 (1991) http://dx.doi.org/10.1103/PhysRevLett.67.22

  • [33] L. M. Kuang, Z. B. Chen, J. W. Pan, Phys. Rev. A 76, 052324 (2007) http://dx.doi.org/10.1103/PhysRevA.76.052324

  • [34] M. Kiffner, M. Macovei, J. Evers, C. H. Keitel, Prog. Optics 55, 85 (2010) http://dx.doi.org/10.1016/B978-0-444-53705-8.00003-5

  • [35] S. Menon, G. S. Agarwal, Phys. Rev. A 57, 4014 (1998) http://dx.doi.org/10.1103/PhysRevA.57.4014

  • [36] J. H. Wu, J. Y. Gao, Phys. Rev. A 65, 063807 (2002) http://dx.doi.org/10.1103/PhysRevA.65.063807

  • [37] S. Dutta, Phys. Scr. 83, 015401 (2011) http://dx.doi.org/10.1088/0031-8949/83/01/015401

  • [38] K. I. Osman, S. S. Hassan, A. Joshi, Eur. Phys. J. D 54, 119 (2009) http://dx.doi.org/10.1140/epjd/e2009-00173-x

  • [39] M. Abazari et al., Entropy 13, 1541 (2011) http://dx.doi.org/10.3390/e13091541

  • [40] P. Zhou, S. Swain, Phys. Rev. A 56, 3011 (1997) http://dx.doi.org/10.1103/PhysRevA.56.3011

  • [41] S. Menon, G. S. Agarwal, Phys. Rev. A 57, 4014 (1988) http://dx.doi.org/10.1103/PhysRevA.57.4014

  • [42] M. A. G. Martinez, P. R. Herczfeld, Phys. Rev. A 55, 4483 (1997) http://dx.doi.org/10.1103/PhysRevA.55.4483

  • [43] A. Imamoğlu, Phys. Rev. A 40, 2835 (1989) http://dx.doi.org/10.1103/PhysRevA.40.2835

  • [44] G. S. Agarwal, Phys. Rev. A 55, 2457 (1997) http://dx.doi.org/10.1103/PhysRevA.55.2457

  • [45] H. R. Xia, C. Y. Ye, S. Y. Zhu, Phys. Rev. L 77, 1032 (1996) http://dx.doi.org/10.1103/PhysRevLett.77.1032

  • [46] Z. Ficek, S. Swain, Phys. Rev. A 69, 023401 (2004) http://dx.doi.org/10.1103/PhysRevA.69.023401

  • [47] M. F. Fang, S. Y. Zhu, Phys. A 369, 475 (2006) http://dx.doi.org/10.1016/j.physa.2005.12.066

  • [48] V. Vedral, M. B. Plenio, M. A. Rippin, P. L. Knight, Phys. Rev. L 78, 2275 (1997) http://dx.doi.org/10.1103/PhysRevLett.78.2275

  • [49] C. H. Bennet, D. P. Divincenzo, J. A. Smolin, W. K. Wootters, Phys. Rev. A 54, 3824 (1996) http://dx.doi.org/10.1103/PhysRevA.54.3824

  • [50] K. Audenaert, F. Verstraete, B. De. Moor. Phys. Rev. A 64, 052304 (2001) http://dx.doi.org/10.1103/PhysRevA.64.052304

  • [51] H. K. Lo, Phys. Rev. A 63, 022301 (2001) http://dx.doi.org/10.1103/PhysRevA.63.022301

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