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We investigate the interaction between a two-level atomic system and a phase controllable light field. The quantum diffraction of the population probability for the excited state is described analytically. The physical sense of the wave function evolution is analyzed in detail. The polarization of the atoms is shown with the help of Cornu spiral of the wave function and the temporal evolution of the real and imaginary part for the wave function. It is shown that the polarization of the atoms and the temporal evolution of the wave function as well as the propagation of light can be controlled by manipulating the phase of the light field.
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Keywords:
- quantum diffraction /
- quantum control /
- polarization
[1] ［1］Moshinsky M 1952 Phys Rev. 88 625
[2] ［2］Szriftgiser P, Guéry-Odelin D, Arndt M, Dalibard J 1996 Phys. Rev. Lett. 77 4
[3] ［3］Shimizu R, Edamatsu K, and Itoh T 2006 Phys. Rev. A 74 013801
[4] ［4］Godoy S 2002 Phys. Rev. A 65 042111
[5] ［5］Rice S A, Zhao M 2000 Optical Control of Molecular Dynamics （New York: Wiley-Interscience）
[6] ［6］Shapiro M, Brumer P 2003 Principles of the Quantum Control of Molecular Processes （Hoboken: John Wiley & Sons）
[7] ［7］Wollenhaupt M, Engel V, Baumert T 2005 Annu. Rev. Phys. Chem. 56 25
[8] ［8］Brixner T, Pfeifer T, Gerber G, Wollenhaupt M, Baumert T 2005 Femtosecond Laser Spectroscopy （New York: Springer）
[9] ［9］Dantus M, Lozovoy V V 2004 Chem. Rev. （Washington, D. C.） 104 1813
[10] ］Wang L Q, Li Y F, Cao D M, Bi D Y, Zhang C J, Cheng Y C 2004 Acta Phys. Sin. 53 2937 （in Chinese）［王利强、 李永放、 曹冬梅、毕冬艳、张崇俊、 成延春、2004 53 2937］
[11] ］Ma R Q, Li Y F, Shi J 2008 Acta Phys. Sin. 57 4083 （in Chinese）［马瑞琼、李永放、 时坚 2008 57 4083］
[12] ］Judson R S, Rabitz H 1992 Phys. Rev. Lett. 68 1500
[13] ］Weiner A M 2000 Rev. Sci. Instrum. 71 1929
[14] ］Zamith S, Degert J, Stock S, de Beauvoir B, Blanchet V, Bouchene M A, Girard B 2001 Phys. Rev. Lett. 87 033001
[15] ］Degert J, Wohlleben W, Chatel B, Motzkus M, Girard B 2003 Phys. Rev. Lett. 89 203003
[16] ］Monmayrant A, Chatel B, Girard B 2006 Phys. Rev. Lett.96 103002
[17] ］Monmayrant A, Chatel B, Girard B 2006 Opt. Commun. 264 256
[18] ］Meshulach D, Yelin D, Silberberg Y 1998 J. Opt. Soc. Am. B 15 1615 Dudovich N, Oron D, Silberberg Y 2002 Phys. Rev. Lett. 88 123004
[19] ］Wollenhaupt M, Prakelt A, Sarpe-Tudoran C, Liese D, Bayer T, Baumert T 2006 Phys. Rev. A 73 063409
[20] ］Zeng J Y 1981 Quantum Mechanics （Volume 2） （Beijing: Science Press） p297 （in Chinese）［曾谨言 1981 量子力学（下册） （北京：科学出版社） 第297页］
[21] ］Chaltykyan V, Grigoryan G, Nikogosyan G 2003 Phys. Rev. A 68 013819
[22] ］Arkhipkin V G, and Timofeev I V 2001 Phys. Rev. A 64 053811
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[1] ［1］Moshinsky M 1952 Phys Rev. 88 625
[2] ［2］Szriftgiser P, Guéry-Odelin D, Arndt M, Dalibard J 1996 Phys. Rev. Lett. 77 4
[3] ［3］Shimizu R, Edamatsu K, and Itoh T 2006 Phys. Rev. A 74 013801
[4] ［4］Godoy S 2002 Phys. Rev. A 65 042111
[5] ［5］Rice S A, Zhao M 2000 Optical Control of Molecular Dynamics （New York: Wiley-Interscience）
[6] ［6］Shapiro M, Brumer P 2003 Principles of the Quantum Control of Molecular Processes （Hoboken: John Wiley & Sons）
[7] ［7］Wollenhaupt M, Engel V, Baumert T 2005 Annu. Rev. Phys. Chem. 56 25
[8] ［8］Brixner T, Pfeifer T, Gerber G, Wollenhaupt M, Baumert T 2005 Femtosecond Laser Spectroscopy （New York: Springer）
[9] ［9］Dantus M, Lozovoy V V 2004 Chem. Rev. （Washington, D. C.） 104 1813
[10] ］Wang L Q, Li Y F, Cao D M, Bi D Y, Zhang C J, Cheng Y C 2004 Acta Phys. Sin. 53 2937 （in Chinese）［王利强、 李永放、 曹冬梅、毕冬艳、张崇俊、 成延春、2004 53 2937］
[11] ］Ma R Q, Li Y F, Shi J 2008 Acta Phys. Sin. 57 4083 （in Chinese）［马瑞琼、李永放、 时坚 2008 57 4083］
[12] ］Judson R S, Rabitz H 1992 Phys. Rev. Lett. 68 1500
[13] ］Weiner A M 2000 Rev. Sci. Instrum. 71 1929
[14] ］Zamith S, Degert J, Stock S, de Beauvoir B, Blanchet V, Bouchene M A, Girard B 2001 Phys. Rev. Lett. 87 033001
[15] ］Degert J, Wohlleben W, Chatel B, Motzkus M, Girard B 2003 Phys. Rev. Lett. 89 203003
[16] ］Monmayrant A, Chatel B, Girard B 2006 Phys. Rev. Lett.96 103002
[17] ］Monmayrant A, Chatel B, Girard B 2006 Opt. Commun. 264 256
[18] ］Meshulach D, Yelin D, Silberberg Y 1998 J. Opt. Soc. Am. B 15 1615 Dudovich N, Oron D, Silberberg Y 2002 Phys. Rev. Lett. 88 123004
[19] ］Wollenhaupt M, Prakelt A, Sarpe-Tudoran C, Liese D, Bayer T, Baumert T 2006 Phys. Rev. A 73 063409
[20] ］Zeng J Y 1981 Quantum Mechanics （Volume 2） （Beijing: Science Press） p297 （in Chinese）［曾谨言 1981 量子力学（下册） （北京：科学出版社） 第297页］
[21] ］Chaltykyan V, Grigoryan G, Nikogosyan G 2003 Phys. Rev. A 68 013819
[22] ］Arkhipkin V G, and Timofeev I V 2001 Phys. Rev. A 64 053811
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