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Considering the exciton-biexciton coherence, we analytically study the linear absorption and nonlinear propagation properties of the probe and signal field in a semiconductor quantum dot. It is found that in the linear case, in the system takes place an electromagnetically induced transparency phenomenon. Furthermore, we obtain that in the system there occurs one- or two-transparency window, or optical gain, which is controlled by adjusting the coupling control field. For the nonlinear case, the weak probe field, which is induced by a signal field, splits into two parts. When their excited self-Kerr and cross-Kerr nonlinear effects balance the refractive effect of the beam, the system exhibits bright-bright, bright-dark, dark-bright, dark-dark soliton pairs.
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Keywords:
- semiconductor quantum dot /
- electromagnetically induced transparency /
- spatial optical soliton pairs
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[2] Segev M，Stegeman G I 1998 Phys. Today 51 48
[3] Chen Z G, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401
[4] Hang C, Konotop V V, Huang G X 2009 Phys. Rev. A 79 033826
[5] Huang G X, Deng L, Payne M G 2005 Phys. Rev. E 72 016617
[6] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[7] Kivshar Y S, Yang X P 1994 Phys. Rev. E 50 40(R)
[8] Hang C, Huang G X, Deng L 2006 Phys. Rev. E 74 046601
[9] Hu B, Huang G X, Velarde M G 2000 Phys. Rev. E 62 2827
[10] Stegeman G I, Segev M 1999 Science 286 1518
[11] Kang J U, Stegeman G I, Aitchison J S, Akhmediev N 1996 Phys. Rev. Lett. 76 3699
[12] Zhang H, Tang D Y, Zhao L M, Wu X 2009 Phys. Rev. B 80 052302
[13] Delqué M, Sylvestre T, Maillotte H, Cambournac C, Kockaert P, Haelterman M 2005 Opt. Lett. 30 3383
[14] Zhang Y, Hou C F, Sun X D 2007 Chin. Phys. 16 159
[15] Liu J S, Zhang D Y, Liang C H 2000 Chin. Phys. 9 667
[16] Chen Z G, Segev M, Coskun T H, Christodoulides D N 1996 Opt. Lett. 21 1436
[17] Huang G X, Jiang K J, Payne M G, Deng L 2006 Phys. Rev. E 73 056606
[18] Xie X T, Li W B, Yang X X 2006 J. Opt. Soc. Am. B 23 1609
[19] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (in Chinese) [佘彦超, 王登龙, 丁建文 2009 物理学报 58 3198]
[20] She Y C, Zhang W X, Wang D L 2011 Acta Phys. Sin. 60 064205 (in Chinese) [佘彦超, 张蔚曦, 王登龙 2011 物理学报 60 064205]
[21] Si L G, Yang W X, Yang X X 2009 J. Opt. Soc. Am. B 26 478
[22] Wu Y, Deng L 2004 Phys. Rev. Lett. 93 143904
[23] Wu Y 2005 Phys. Rev. A 71 053820
[24] Wu Y, Deng L 2004 Opt. Lett. 29 2064
[25] Ding C L, Hao X Y, Yang X X 2010 Phys. Lett. A 374 680
[26] Hao X Y, Zheng A T, Wang Y, Li X G 2012 Commun. Theor. Phys. 57 866
[27] Yang W X, Chen A X, Lee R K, Wu Y 2011 Phys. Rev. A 84 013835
[28] Li J H, Yu R, Huang P, Yang X X 2009 Phys. Lett. A 373 554
[29] Sun H, Feng X L, Gong S Q, Oh C H 2009 Phys. Rev. B 79 193404
[30] Luo J, Lai W, Lu D, Du C L, Liu Y W, Gong S Q, Shi D N, Guo C L 2012 J. Phys. B: At. Mol. Opt. Phys. 45 035402
[31] Wu F, Tian W, Ma i N, Chen W J, Zhang G L, Zhao G F, Cao S D, Xie W 2008 Chin. Phys. Lett. 25 1461
[32] Guo R H, Shi H Y, Sun X D 2004 Chin. Phys. 13 2141
[33] Zhang G Q, Chen C, Gao F, Bo F, Liu J B, Xu J J, Tu Y F 2007 Physics 36 399
[34] Gammon D, Snow E S, Shanabrook B V, Katzer D S, Park D 1996 Science 273 87
[35] Brunner K, Abstreiter G, Böhm G, Tränkle, Weimann G 1994 Phys. Rev. Lett. 73 1138
[36] Luo B, Hang C, Li H J, Huang G X 2010 Chin. Phys. B 19 054214
[37] Li L, Huang G X 2010 Phys. Rev. A 82 023809
[38] Li H J, Huang G X 2008 Phys. Lett. A 372 4127
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[1] Segev M 1998 Opt. Quantum Electron. 30 503
[2] Segev M，Stegeman G I 1998 Phys. Today 51 48
[3] Chen Z G, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401
[4] Hang C, Konotop V V, Huang G X 2009 Phys. Rev. A 79 033826
[5] Huang G X, Deng L, Payne M G 2005 Phys. Rev. E 72 016617
[6] Hu W, Ouyang S G, Yang P B, Guo Q, Lan S 2008 Phys. Rev. A 77 033842
[7] Kivshar Y S, Yang X P 1994 Phys. Rev. E 50 40(R)
[8] Hang C, Huang G X, Deng L 2006 Phys. Rev. E 74 046601
[9] Hu B, Huang G X, Velarde M G 2000 Phys. Rev. E 62 2827
[10] Stegeman G I, Segev M 1999 Science 286 1518
[11] Kang J U, Stegeman G I, Aitchison J S, Akhmediev N 1996 Phys. Rev. Lett. 76 3699
[12] Zhang H, Tang D Y, Zhao L M, Wu X 2009 Phys. Rev. B 80 052302
[13] Delqué M, Sylvestre T, Maillotte H, Cambournac C, Kockaert P, Haelterman M 2005 Opt. Lett. 30 3383
[14] Zhang Y, Hou C F, Sun X D 2007 Chin. Phys. 16 159
[15] Liu J S, Zhang D Y, Liang C H 2000 Chin. Phys. 9 667
[16] Chen Z G, Segev M, Coskun T H, Christodoulides D N 1996 Opt. Lett. 21 1436
[17] Huang G X, Jiang K J, Payne M G, Deng L 2006 Phys. Rev. E 73 056606
[18] Xie X T, Li W B, Yang X X 2006 J. Opt. Soc. Am. B 23 1609
[19] She Y C, Wang D L, Ding J W 2009 Acta Phys. Sin. 58 3198 (in Chinese) [佘彦超, 王登龙, 丁建文 2009 物理学报 58 3198]
[20] She Y C, Zhang W X, Wang D L 2011 Acta Phys. Sin. 60 064205 (in Chinese) [佘彦超, 张蔚曦, 王登龙 2011 物理学报 60 064205]
[21] Si L G, Yang W X, Yang X X 2009 J. Opt. Soc. Am. B 26 478
[22] Wu Y, Deng L 2004 Phys. Rev. Lett. 93 143904
[23] Wu Y 2005 Phys. Rev. A 71 053820
[24] Wu Y, Deng L 2004 Opt. Lett. 29 2064
[25] Ding C L, Hao X Y, Yang X X 2010 Phys. Lett. A 374 680
[26] Hao X Y, Zheng A T, Wang Y, Li X G 2012 Commun. Theor. Phys. 57 866
[27] Yang W X, Chen A X, Lee R K, Wu Y 2011 Phys. Rev. A 84 013835
[28] Li J H, Yu R, Huang P, Yang X X 2009 Phys. Lett. A 373 554
[29] Sun H, Feng X L, Gong S Q, Oh C H 2009 Phys. Rev. B 79 193404
[30] Luo J, Lai W, Lu D, Du C L, Liu Y W, Gong S Q, Shi D N, Guo C L 2012 J. Phys. B: At. Mol. Opt. Phys. 45 035402
[31] Wu F, Tian W, Ma i N, Chen W J, Zhang G L, Zhao G F, Cao S D, Xie W 2008 Chin. Phys. Lett. 25 1461
[32] Guo R H, Shi H Y, Sun X D 2004 Chin. Phys. 13 2141
[33] Zhang G Q, Chen C, Gao F, Bo F, Liu J B, Xu J J, Tu Y F 2007 Physics 36 399
[34] Gammon D, Snow E S, Shanabrook B V, Katzer D S, Park D 1996 Science 273 87
[35] Brunner K, Abstreiter G, Böhm G, Tränkle, Weimann G 1994 Phys. Rev. Lett. 73 1138
[36] Luo B, Hang C, Li H J, Huang G X 2010 Chin. Phys. B 19 054214
[37] Li L, Huang G X 2010 Phys. Rev. A 82 023809
[38] Li H J, Huang G X 2008 Phys. Lett. A 372 4127
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