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A scheme of two-dimensional atomic localization of the Λ-type quasi-four-level atoms based on quantum-coherent-controlled absorption is proposed. Using the perturbation theory of the density matrix, the filter function is derived for the position probability distribution of atoms, which is determined by the imaginary part of the optical susceptibility. Because of the space-dependent interaction between atoms and fields, the position information is contained in the filter function, which provides an approach to explore the spacial position probability distribution of a single atom. Effect of the initial state of the atom under coherent control on the atomic localization is analyzed. It is found that the atomic localization is related to the initial atom distribution and the dipole moment between two lower levels under the coherent field control. When probing field and coupling field are under the configuration of the electromagnetically induced transparency, the position of atoms can be localized in the domain of sub wavelength; when the electromagnetically induced transparency is not satisfied, an atom can be measured in a sub wave region with the probability of 100% by changing the traveling wave amplitude in the controlling field and the detuning in the probing field.
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Keywords:
- atom localization /
- coherent control /
- absorption /
- dressed state
[1] Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H, Ketterle W 2005 Nature 435 1047
[2] Phillips W D 1998 Rev.Mod.Phys. 70 721
[3] Johnson K S, Thywissen J H, Dekker N H, Berggren K K, Chu A P, Younkin R, Prentiss M 1998 Science 280 1583
[4] Collins G P 1996 Phys. Today 49 18
[5] Kapale K T, Qamar S, Zubairy M S 2003 Phys Rev. A 67 023805
[6] Fleishhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[7] Harris S E 1994 Opt. Lett. 19 2018
[8] Camacho R M, Vudyasetu P K, Howell J C 2009 Nature photonics 3 103
[9] Fleischhauer M 2009 Nature photonics 3 76
[10] Nikoghosyan G, Fleischhauer M 2009 Phys. Rev. A 80 013818
[11] Niu Y P, Li R X, Gong S Q 2005 Phys. Rev. A 71 043819
[12] Li F L, Zhu S Y 1999 Phys. Rev. A 59 2330
[13] Wan R G, Zhang T Y, Kou J 2013 Phys. Rev. A 87 043816
[14] Sahrai M, Tajalli H, Kapale K T, Zubairy M S 2005 Phys. Rev. A 72 013820
[15] Sahrai M, Tajalli H 2013 JOSA B 30 512
[16] Rahmatullah, Qamar S 2013 Phys. Rev. A 88 013846
[17] Ivanov V S, Rozhdestvensky Y V, Suominen K A 2014 Phys. Rev. A 90 063802
[18] Ivanov V, Rozhdestvensky Y 2010 Phys. Rev. A 81 033809
[19] Qi Y H, Zhou F X, Huang T, Niu Y P, Gong S Q 2012 J. Mod. Opt. 59 1092
[20] Wan R G, Kou J, Jiang L, Jiang Y, Gao J Y 2011 JOSA B 28 622
[21] Jin L L, Sun H, Niu Y P, Jin S Q, Gong S Q 2009 J. Mod. Opt. 56 805
[22] Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) p225
[23] Liu C P, Gong S Q, Cheng D C, Fan X J, Xu Z Z 2006 Phys. Rev. A 73 025801
[24] Ghafoor F 2011 Phys.Rev.A 84 063849
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[1] Zwierlein M W, Abo-Shaeer J R, Schirotzek A, Schunck C H, Ketterle W 2005 Nature 435 1047
[2] Phillips W D 1998 Rev.Mod.Phys. 70 721
[3] Johnson K S, Thywissen J H, Dekker N H, Berggren K K, Chu A P, Younkin R, Prentiss M 1998 Science 280 1583
[4] Collins G P 1996 Phys. Today 49 18
[5] Kapale K T, Qamar S, Zubairy M S 2003 Phys Rev. A 67 023805
[6] Fleishhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[7] Harris S E 1994 Opt. Lett. 19 2018
[8] Camacho R M, Vudyasetu P K, Howell J C 2009 Nature photonics 3 103
[9] Fleischhauer M 2009 Nature photonics 3 76
[10] Nikoghosyan G, Fleischhauer M 2009 Phys. Rev. A 80 013818
[11] Niu Y P, Li R X, Gong S Q 2005 Phys. Rev. A 71 043819
[12] Li F L, Zhu S Y 1999 Phys. Rev. A 59 2330
[13] Wan R G, Zhang T Y, Kou J 2013 Phys. Rev. A 87 043816
[14] Sahrai M, Tajalli H, Kapale K T, Zubairy M S 2005 Phys. Rev. A 72 013820
[15] Sahrai M, Tajalli H 2013 JOSA B 30 512
[16] Rahmatullah, Qamar S 2013 Phys. Rev. A 88 013846
[17] Ivanov V S, Rozhdestvensky Y V, Suominen K A 2014 Phys. Rev. A 90 063802
[18] Ivanov V, Rozhdestvensky Y 2010 Phys. Rev. A 81 033809
[19] Qi Y H, Zhou F X, Huang T, Niu Y P, Gong S Q 2012 J. Mod. Opt. 59 1092
[20] Wan R G, Kou J, Jiang L, Jiang Y, Gao J Y 2011 JOSA B 28 622
[21] Jin L L, Sun H, Niu Y P, Jin S Q, Gong S Q 2009 J. Mod. Opt. 56 805
[22] Scully M O, Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) p225
[23] Liu C P, Gong S Q, Cheng D C, Fan X J, Xu Z Z 2006 Phys. Rev. A 73 025801
[24] Ghafoor F 2011 Phys.Rev.A 84 063849
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