Transients of the electromagnetically-induced-transparency-enhanced refractive Kerr nonlinearity: Theory

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M. V. Pack, R. M. Camacho, and J. C. Howell
Department of Physics, University of Rochester, Rochester, New York 14627, USA

Received 2 March 2006; published 25 July 2006

Wepresent a theory describing the transients and rise times ofthe refractive Kerr nonlinearity which is enhanced using electromagnetically inducedtransparency (EIT). We restrict our analysis to the case ofa pulsed signal field with continuous-wave EIT fields, and allfields are well below saturation. These restrictions enable the reductionof an EIT Kerr, four-level, density-matrix equation to a two-levelBloch-vector equation which has a simple and physically intuitive algebraicsolution. The physically intuitive picture of a two-level Bloch vectorprovides insights that are easily generalized to more complex andexperimentally realistic models. We consider generalization to the cases ofDoppler broadening, many-level EIT systems (we consider the D1 lineof ⁸⁷Rb), and optically thick media. For the case ofoptically thick media we find that the rise time ofthe refractive EIT Kerr effect is proportional to the opticalthickness. The rise time of the refractive EIT Kerr effectsets important limitations for potential few-photon applications.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.013812
DOI:	10.1103/PhysRevA.74.013812
PACS:	42.50.Gy; 42.65.Hw 42.50.Gy Effects of atomic coherence on propagation, absorption, and amplification of light; electromagnetically induced transparency and absorption 42.65.Hw Optical phase conjugation; photorefractive and Kerr effects YEAR: 2006
KEYWORDS:	optical Kerr effect, self-induced transparency, Doppler broadening, rubidium

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M. Jain, H. Xia, G. Y. Yin, A. J. Merriam, and S. E. Harris, Phys. Rev. Lett. 77, 4326 (1996).
S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
M. D. Lukin and A. Imamoglu, Phys. Rev. Lett. 84, 1419 (2000).
D. Petrosyan and G. Kurizki, Phys. Rev. A 65, 033833 (2002).
S. E. Harris and Y. Yamamoto, Phys. Rev. Lett. 81, 3611 (1998).
M. Yan, E. G. Rickey, and Y. Zhu, Phys. Rev. A 64, 041801(R) (2001).
D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, Phys. Rev. A 68, 041801(R) (2003).
Y.-F. Chen, G.-C. Pan, and I. A. Yu, Phys. Rev. A 69, 063801 (2004).
L. Deng, M. G. Payne, and W. R. Garrett, Phys. Rev. A 64, 023807 (2001).
C. Ottaviani, S. Rebic, D. Vitali, and P. Tombesi, Phys. Rev. A 73, 010301(R) (2006).
S. J. Park, H. Cho, T. Y. Kwon, and H. S. Lee, Phys. Rev. A 69, 023806 (2004).
A. Godone, S. Micalizio, and F. Levi, Phys. Rev. A 66, 063807 (2002).
M. O. Scully, S.-Y. Zhu, and A. Gavrielides, Phys. Rev. Lett. 62, 2813 (1989).
M. Kash, V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, Phys. Rev. Lett. 70, 3235 (1993).
Y. Zhu, Phys. Rev. A 53, 2742 (1995).
P. Valente, H. Failache, and A. Lezama, Phys. Rev. A 65, 023814 (2001).
A. S. Zibrov and A. B. Matsko, Phys. Rev. A 64, 013814 (2001).
A. Mair, J. Hagen, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
K. Bergman, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
M. Lindberg and R. Binder, Phys. Rev. Lett. 75, 1403 (1995).
Y. Wu and X. Yang, Phys. Rev. A 71, 053806 (2005).
E. A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, and L. Windholz, Phys. Rev. A 59, 2302 (1999).
W. Maichen, F. Renzoni, I. Mazets, E. Korsunsky, and L. Windholz, Phys. Rev. A 53, 3444 (1996).
A. Javan, O. Kocharovshaya, H. Lee, and M. O. Scully, Phys. Rev. A 66, 013805 (2002).