Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(2): 020303    DOI: 10.1088/1674-1056/21/2/020303
GENERAL Prev   Next  

State reconstruction of molecular spatial rotation

Qin Xiao(覃晓)a)b) and Gao Jun-Yi(高军毅) a)†
a. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
b. Graduate University of the Chinese Academy of Sciences, Beijing 100049, China
Abstract  We establish a reconstruction approach for the rotational quantum state of linear molecules possessing a magnetic manifold. Our approximate method contains an iteration with generalized matrix inverses, processing the tomographic integral of the time-dependent molecular-axis distribution in a polar angle. As shown in a simulated example for an alignment state, the density matrix is determined in a high fidelity. An analytic tomographic formula is also derived for the symmetric top rotation. The state coherent in the quantum space of both the angular momentum and its magnetic projection can be approximately retrieved from the observable time-resolved solid-angle distribution of the molecular axis.
Keywords:  state reconstruction      molecular rotation  
Received:  19 May 2011      Revised:  27 October 2011      Accepted manuscript online: 
PACS:  03.65.Wj (State reconstruction, quantum tomography)  
  33.20.Sn (Rotational analysis)  
Corresponding Authors:  Gao Jun-Yi,gaojunyi@wipm.ac.cn     E-mail:  gaojunyi@wipm.ac.cn

Cite this article: 

Qin Xiao(覃晓) and Gao Jun-Yi(高军毅) State reconstruction of molecular spatial rotation 2012 Chin. Phys. B 21 020303

[1] D'Ariano G M, Paris M G A and Sacchi M F 2003 Adv. Imag. Elect. Phys. 128 205
[2] Cramer M, Plenio M B, Flammia S T, Somma R, Gross D, Bartlett S D, Landon-Cardinal O, Poulin D and Liu Y K 2010 Nature Commun. 1 149
[3] Vozzi C, Negro M, Calegari F, Sansone G, Nisoli M, de Silvestri S and Stagira S 2011 Nature Phys. 7 822
[4] Haessler S, Caillat J, Boutu W, Giovanetti-Teixeira C, Ruchon T, Auguste T, Diveki Z, Breger P, Maquet A, Carr? B, Ta"hieb R and Sali`eres P 2010 Nature Phys. 6 200
[5] Rosca-Pruna F and Vrakking M J J 2001 Phys. Rev. Lett. 87 153902
[6] Hasegawa H and Ohshima Y 2006 Phys. Rev. A 74 061401
[7] Mouritzen A S and Molmer K 2006 J. Chem. Phys. 124 244311
[8] Deshpande S A and Ezra G S 2007 Chem. Phys. Lett. 440 341
[9] Hasegawa H and Ohshima Y 2008 Phys. Rev. Lett. 101 053002
[10] Qin X and Gao J Y 2011 Chin. Phys. B 20 010306
[11] Hoque Md Z, Lapert M, Hertz E, Billard F, Sugny D, Lavorel B and Faucher O 2011 Phys. Rev. A 84 013409
[12] Kitano K, Hasegawa H and Ohshima Y 2009 Phys. Rev. Lett. 103 223002
[13] Dooley P W, Litvinyuk I V, Lee K F, Rayner D M, Spanner M, Villeneuve D M and Corkum P B 2003 Phys. Rev. A 68 023406
[14] Busch P 1991 Int. J. Theor. Phys. 30 1217
[15] Rosca-Pruna F and Vrakking M J J 2002 J. Chem. Phys. 116 6579
[16] Varshalovich D A, Moskalev A N and Khersonskii A K 1988 Quantum Theory of Angular Momentum (Singapore: World Scientific) pp. 72-117, 130-163, 235-270
[17] Rao C R and Mitra S K 1972 Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability Vol. 1 Berkeley, United States of America, 1970 pp. 601-620
[18] Ben-Israel A and Greville T N E 2003 Generalized Inverse Theory and Applications 2nd edn. (New York: Springer-Varlag) pp. 102-104, 182-184
[19] Daems D, Gu閞in S, Hertz E, Jauslin H R, Lavorel B and Faucher O 2005 Phys. Rev. Lett. 95 063005
[20] Gordy W and Cook R L 1984 Microwave Molecular Spectra 3rd edn. (New York: Wiley Interscience) pp. 11-35
[22] Gebhardt C R, Rakitzis T P, Samartzis P C, Ladopoulos V and Kitsopoulos T N 2001 Rev. Sci. Instrum. 72 3848
[23] Manko V I and Manko O V 1997 J. Exp. Theor. Phys. 85 430
[24] Anderson R W 1997 J. Phys. Chem. A 101 7664
[25] Banaszek K, D'Ariano G M, Paris M G A and Sacchi M F 2000 Phys. Rev. A 61 010304
[1] Selective excitation of the molecular rotational wave packet by two time-delayed laser pulses
Xu Shu-Wu(徐淑武), Huang Yun-Xia(黄云霞), and Ji Xian-Ming(纪宪明) . Chin. Phys. B, 2011, 20(12): 123302.
[2] Optimal approach to rotational state reconstruction of linear molecules
Qin Xiao(覃晓) and Gao Jun-Yi(高军毅) . Chin. Phys. B, 2011, 20(1): 010306.
No Suggested Reading articles found!