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In this paper, we describe orbital angular momentum entangled photon pair entanglement in atmospheric channel. The Von Karman spectrum of turbulence is used to create a model of two-photon pair entanglement. The effects of atmospheric turbulence on the entanglement of entangled photon pairs of different orbital angular momentum bases are analyzed. The obtained results are as follows because of the presence of atmospheric turbulence, the entanglement of entangled photon pairs decreases with the increase of the propagation distance z in the atmosphere channel. The entanglement of the entangled photon pairs decreases with the increase of transmission distance. The bigger the turbulence intensity, the faster the entanglement decline and the shorter the propagation distanceis. In the same intensity of atmospheric turbulence of the atmospheric channel, the bigger the orbital angular momentum index, the slower the entanglement decline and the further the propagation distanceis.
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Keywords:
- orbital angular momentum /
- entangled state /
- atmospheric turbulence /
- entanglement
[1] Einstein A,Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[3] James D F V 1994 Opt. Soc. Am. (A) 11 1641
[4] Gori F 1998 Opt. Lett. 23 241
[5] Mair A, Vaziri A, Weihsand G, Zeilinger A 2001 Nature 412 313
[6] Poppe A, Fedrizzi A, Ursin R, BÖhm H R, Lorünser T, Maurhardt O, Peev M, Suda M, Kurtsiefe C, Weinfurter H 2004 Opt. Expr. 12 3865
[7] Zhang Q, Takesue H, Nam S W, Langrock C, Xie X, Baek B, Fejer M M, Yamamoto Y 2008 Opt. Expr. 16 5776
[8] Salart D, Baas A, Branciard C, Gisin N, Zbinden H 2008 Nature 454 861
[9] Yan Y, Pei C X, Shi R J, Han B S, Zhang L 2007 Journal of University of Electronic Science and Technology of China 34 711 (in Chinese) [阎毅, 裴昌幸, 师瑞娟, 韩宝彬, 张磊 2007 西安电子科技大学学报 34 711]
[10] Anguita J A,Neifeld M A and Vasic B V 2008 Appl,Opt. 47 2414
[11] Gopaui C, Andrews R 2007 New,J.phys.9 94
[12] Zhang Y X, Zhang J, Wang J, Jia J J 2010 Laser Journal 31 24 (in Chinese) [张逸新, 张建, 王建宇, 贾建军 2010 激光杂志 31 24]
[13] Roux F S 2010 Physics. Optics. 1009 1956
[14] Zurek W H 1981 Phys. Rev. D 24 1516
[15] Shi M J, Du J F, Zhu D P 2000 Acta Phys. Sin. 49 825 (in Chinese) [石名俊, 杜江峰, 朱栋培 2000 49 825]
[16] Bennett C H, Divincenzo D P, Smolin J A, Smolin, William K, Wootters 1996 Phys. Rev. 54 3824
[17] Terhal B M, Vollbrecht K G H 2000 Phys. Rev. Lett. 85 2625
[18] Vedral V, Plenio M B, Rippin M A, Knight P L 1997 Phys. Rev. 56 4452
[19] Wootters W K 1998 Phys. Rev. 80 2245
[20] Andrews L C, Phillips R L 1998 Laser beam propagation through random media (Washington, SPIE) p32
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[1] Einstein A,Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[3] James D F V 1994 Opt. Soc. Am. (A) 11 1641
[4] Gori F 1998 Opt. Lett. 23 241
[5] Mair A, Vaziri A, Weihsand G, Zeilinger A 2001 Nature 412 313
[6] Poppe A, Fedrizzi A, Ursin R, BÖhm H R, Lorünser T, Maurhardt O, Peev M, Suda M, Kurtsiefe C, Weinfurter H 2004 Opt. Expr. 12 3865
[7] Zhang Q, Takesue H, Nam S W, Langrock C, Xie X, Baek B, Fejer M M, Yamamoto Y 2008 Opt. Expr. 16 5776
[8] Salart D, Baas A, Branciard C, Gisin N, Zbinden H 2008 Nature 454 861
[9] Yan Y, Pei C X, Shi R J, Han B S, Zhang L 2007 Journal of University of Electronic Science and Technology of China 34 711 (in Chinese) [阎毅, 裴昌幸, 师瑞娟, 韩宝彬, 张磊 2007 西安电子科技大学学报 34 711]
[10] Anguita J A,Neifeld M A and Vasic B V 2008 Appl,Opt. 47 2414
[11] Gopaui C, Andrews R 2007 New,J.phys.9 94
[12] Zhang Y X, Zhang J, Wang J, Jia J J 2010 Laser Journal 31 24 (in Chinese) [张逸新, 张建, 王建宇, 贾建军 2010 激光杂志 31 24]
[13] Roux F S 2010 Physics. Optics. 1009 1956
[14] Zurek W H 1981 Phys. Rev. D 24 1516
[15] Shi M J, Du J F, Zhu D P 2000 Acta Phys. Sin. 49 825 (in Chinese) [石名俊, 杜江峰, 朱栋培 2000 49 825]
[16] Bennett C H, Divincenzo D P, Smolin J A, Smolin, William K, Wootters 1996 Phys. Rev. 54 3824
[17] Terhal B M, Vollbrecht K G H 2000 Phys. Rev. Lett. 85 2625
[18] Vedral V, Plenio M B, Rippin M A, Knight P L 1997 Phys. Rev. 56 4452
[19] Wootters W K 1998 Phys. Rev. 80 2245
[20] Andrews L C, Phillips R L 1998 Laser beam propagation through random media (Washington, SPIE) p32
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