Abstract
In Chapters 6–8, we will describe how different orders of nonlinear wave-mixing processes can be generated to coexist in the same multi-level atomic systems and how these different nonlinear optical processes interact with each other. Typically higher-order nonlinear optical processes are much weaker than the lower-order ones, so only the lowest-order non-zero nonlinear optical process is considered. However, as we will show that under certain laser beam configurations and energy-level arrangements, highly efficient four-wave mixing (FWM) and six-wave mixing (SWM) processes can be made to coexist in the same multi-level atomic systems with similar signal intensities. Due to specially-designed interaction schemes between laser beams and multi-level atomic systems, the atomic coherence and the multi-photon quantum interference induced between different atomic transitions play important roles, and the generated FWM and SWM signals can be made to transmit through the same or dual electromagnetically induced transparency (EIT) windows. These coexisting multi-wave mixing (MWM) processes and their relative strengths can be controlled and tuned by the intensities and the frequency detuning of the pump (or dressing) laser beams. In this chapter, co-existing and enhanced FWM and SWM processes in several four-level atomic systems are presented and their underlying physical mechanisms are discussed.
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References
Boyd R W. Nonlinear Optics. New York: Academic Press, 1992.
Shen Y R. The Principles of Nonlinear Optics. New York: Wiley, 1984.
Zhang Y P, Brown A W, Xiao M. Opening four-wave mixing and six-wave mixing channels via dual electromagnetically induced transparency windows. Phys. Rev. Lett., 2007, 99: 123603.
Hemmer P R, Katz D P, Donoghue J, et al. Efficient low-intensity optical phase conjugation based on coherent population trapping in sodium. Opt. Lett., 1995, 20: 982.
Li Y, Xiao M. Enhancement of non-degenerate four-wave mixing using electromagnetically induced transparency in rubidium atoms. Opt. Lett., 1996, 21: 1064 Lu B, Burkett W H, Xiao M. Nondegenerate four-wave mixing in a double-Lambda system under the influence of coherent population trapping. Opt. Lett., 1998, 23: 804-806.
Kash M M, Sautenkov V A, Zibrov A S, et al. Ultraslow group velocity and enhanced nonlinear optical effects in a coherently driven hot atomic gas. Phys. Rev. Lett., 1999, 82: 5229–5232.
Braje D A, Balic V, Goda S, Yin G Y, et al. Frequency mixing using electromagnetically induced transparency in cold atoms. Phys. Rev. Lett., 2004, 93: 183601.
Kang H, Hernandez G, Zhu Y F. Superluminal and slow light propagation in cold atoms. Phys. Rev. A, 2004, 70: 061804.
Harris S E. Electromagnetically induced transparency. Phys. Today, 1997, 50: 36–42.
Zhang Y P, Xiao M. Enhancement of six-wave mixing by atomic coherence in a four-level inverted Y system. Appl. Phys. Lett., 2007, 90: 111104.
Joshi A, Xiao M. Electromagnetically induced transparency and its dispersion properties in a four-level inverted-Y atomic system. Physics Letter A, 2003, 317: 370–377.
Gea-Banacloche J, Li Y, Jin S, Xiao M. Electromagnetically induced transparency in ladder-type inhomogeneously broadened media: Theory and experiment. Phys. Rev. A, 1995, 51: 576–584.
Kang H, Hernandez G, Zhu Y F. Slow-light six-wave mixing at low light intensities. Phys. Rev. Lett., 2004, 93: 073601.
Agarwal G S, Harshawardhan W. Zeeman splitting of the coulomb anomaly: a tunneling study in two dimensions. Phys. Rev. Lett., 1996, 77: 1139–1142.
Zibrov A S, Ye C Y, Rostovtsev Y V, et al. Observation of a three-photon electromagnetically induced transparency in hot atomic vapor. Phys. Rev. A, 2002, 65, 043817.
Deng L, Payne M G. Inhibiting the onset of the three-photon destructive interference in ultraslow propagation-enhanced four-wave mixing with dual induced transparency. Phys. Rev. Lett., 2003, 91: 243902.
Zuo Z C, Sun J, Liu X, et al. Generalized n-photon resonant 2n-wave mixing in an (n+1)-level system with phase-conjugate geometry. Phys. Rev. Lett., 2006, 97: 193904.
Hang C, Li Y, Ma L, et al. Three-way entanglement and three-qubit phase gate based on a coherent six-level atomic system. Phys. Rev. A, 2006, 74: 012319.
Michinel H, Paz-Alonso M J, Perez-Garcia V M. Turning light into a liquid via atomic coherence. Phys. Rev. Lett., 2006, 96: 023903.
Ma H, De Araujo C B. Interference between third-and fifth-order polarizations in semiconductor doped glasses. Phys. Rev. Lett., 1993, 71: 3649–3652.
Qi J B, Lazarov G, Wang X J, et al. Autler-Townes Splitting in Molecular Lithium: Prospects for All-Optical Alignment of Nonpolar Molecules. Phys. Rev. Lett., 1999, 83: 288–291.
Xiao M, Li Y Q, Jin S, et al. Measurement of dispersive properties of electromagnetically induced transparency in rubidium atoms. Phys. Rev. Lett., 1995, 74: 666–669.
Ulness D J, Kirkwood J C, Albrecht A C. Competitive events in fifth order time resolved coherent Raman scattering: Direct versus sequential processes. J. Chem. Phys, 1998, 108: 3897–3902.
Zhang Y P, Xiao M. Generalized dressed and doubly-dressed multiwave mixing. Opt. Exp., 2007, 15: 7182–7189.
Zhang Y P, Xiao M. Controlling four-wave and six-wave mixing processes in multilevel atomic systems. Appl. Phys. Lett., 2007, 91: 221108.
Zhang Y P, Brown A W, Xiao M. Observation of interference between four-wave mixing and six-wave mixing. Opt. Lett., 2007, 32: 1120–1122.
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(2009). Coexistence of MWM Processes via EIT Windows. In: Multi-Wave Mixing Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89528-2_6
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DOI: https://doi.org/10.1007/978-3-540-89528-2_6
Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-89528-2
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