Abstract
In Chapters 7–8, experimental generations of the coexisting four-wave mixing (FWM) and six-wave mixing (SWM) processes in several simple multilevel atomic systems and their interactions/interplays have been presented. The previous discussions for those atomic systems were mainly on the basic physical concepts to generate the coexisting multi-wave mixing (MWM) processes and their experimental implementations, and very little theoretical details were given. In this Chapter, we present some detail theoretical calculations on the related topics of generating coexisting MWM processes in the coherently-prepared atomic media. The first topic (Section 8.1) is on the ultraslow propagations of the nondegenerate FWM (NDFWM) signal and the weak probe beam in a close-cycled four-level double-ladder atomic system. Under certain conditions (such as balanced laser beam powers or atomic coherence), matched pulses are achievable for the pulsed probe beam and the generated NDFWM signal, which can transmit through the atomic medium with little absorption. The second topic is on the multiple dressing MWM processes in multi-level atomic systems. Section 8.2 will present the theoretical treatments for the generalized dressed and the doubly-dressed MWM in a general (n+1)-level cascade atomic system. Higher-order nonlinear wave-mixing processes can be generated in such a close-cycled cascade system. Then, using a five-level atomic system, we show how three doubly-dressing (i.e., nested-type, parallel-type, and sequential-cascade-type) schemes for the FWM process (in the three-level system) can be used to generate coexisting FWM, SWM, and eight-wave mixing (EWM) processes.
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References
Wang H, Goorskey D, Xiao M. Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system. Phys. Rev. Lett., 2001, 87: 073601.
Harris S E. Electromagnetically induced transparency. Phys. Today, 1997, 50: 36–42.
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.
Xiao M, Li Y Q, Jin S, Gea-Banacloche J. Measurement of dispersive properties of electromagnetically induced transparency in rubidium atoms. Phys. Rev. Lett., 1995, 74: 666–669.
Schmidt H, Imamoglu A. Giant Kerr nonlinearities obtained by electromagnetically induced transparency. Opt. Lett., 1996, 21: 1936–1938.
Harris S E, Yamamoto Y. Photon Switching by Quantum Interference. Phys. Rev. Lett., 1998, 81: 3611–3614.
Kang H S, Zhu Y F. Observation of large Kerr nonlinearity at low light intensities. Phys. Rev. Lett., 2003, 91: 093601.
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; Li Y, Xiao M. Enhancement of Non-Degenerate Four-Wave Mixing Using Electromagnetically Induced Transparency in Rubidium Atoms. Opt. Lett., 1996, 21: 1064-1066; Brown A W, and Xiao M. All-optical switching and routing based on an electromagnetically induced absorption grating.Opt. Lett. 2005, 30: 699-701.
Kang H, Hernandez G, Zhu Y F. Superluminal and slow light propagation in cold atoms. Phys. Rev. A, 2004, 70: 061804.
Payne M G, Deng L. Consequences of induced transparency in a double-Λ scheme: Destructive interference in four-wave mixing. Phys. Rev. A, 2002, 65: 063806; Deng L, Payne M G. Three-photon destructive interference in ultraslow-propagation-enhanced four-wave mixing. Phys. Rev. A, 2003, 68: 051801(R).
Wu Y, Yang X. Highly efficient four-wave mixing in double-A system in ultraslow propagation regime. Phys. Rev. A, 2004, 70: 053818; Wu Y. Two-color ultraslow optical solitons via four-wave mixing in cold-atom media. Phys. Rev. A, 2005, 71: 053820.
Kang H, Hernandez G, Zhu Y F. Nonlinear wave mixing with electromagnetically induced transparency in cold atoms. J. Mod. Opt., 2005, 52: 2391–2399; Kang H, Hernandez G, Zhang J P, Zhu Y F. Phase-controlled light switching at low light levels. Phys. Rev. A, 2006, 73: 011802(R).
Zhang Y P, Brown A W, Xiao M. Matched ultraslow propagation of highly efficient four-wave mixing in a closely cycled double-ladder system. Phys. Rev. A, 2006, 74: 053813.
Zhang Y P, Gan C L, Song J P, et al. Coherent laser control in attosecond sum-frequency polarization beats using twin noisy driving fields. Phys. Rev. A, 2005, 71: 023802; Zhang Y P, Gan C L, Li L, et al. Rayleigh-enhanced attosecond sum-frequency polarization beats via twin color-locking noisy lights. Phys. Rev. A, 2005, 72: 013812.
Harris S E, Hau L. Nonlinear Optics at Low Light Levels. Phys. Rev. Lett., 1999, 82: 4611–4614; Harris S E, Field J E, Imamoglu A. Nonlinear optical processes using electromagnetically induced transparency. Phys. Rev. Lett., 1990, 64: 1107-1110; Harris S E. Electromagnetically induced transparency with matched pulses. Phys. Rev. Lett., 1993, 70: 552-555. Braje D A, Balic V, Goda S, et al. Frequency mixing using electromagnetically induced transparency in cold atoms. Phys. Rev. Lett., 2004, 93: 183601-183604; McCormick C F, Boyer V, Arimondo E, Lett P D. Strong relative intensity squeezing by four-wave mixing in rubidium vapor. Opt. Lett., 2007, 32: 178.
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.
Zhang Y P, Anderson B, Brown A W, Xiao M. Competition between two four-wave mixing channels via atomic coherence. Appl. Phys. Lett., 2007, 91: 061113.
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.
Lukin M D, Yelin S F, Fleischhauer M, et al. Quantum interference effects induced by interacting dark resonances. Phys. Rev. A, 1999, 60: 3225–3228.
Yan M, Rickey E G, Zhu Y F. Observation of doubly dressed states in cold atoms. Phys. Rev. A, 2001, 64: 013412.
Boyd R W. Nonlinear Optics. New York: Academic Press, 1992.
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.
Zhang Y P, Xiao M. Generalized dressed and doubly-dressed multiwave mixing. Opt. Exp., 2007, 15: 7182–7189.
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. Generalized dark-state polaritons for photon memory in multilevel atomic media. Phys. Rev. A, 2005, 71: 041801.
Zhang Y P, Anderson B, Xiao M. Coexistence of four-ave, six-wave and eight-wave mixing processes in multi-dressed atomic systems. J. Phys. B, 2008, 41: 045502
Du S W, Wen J M, Rubin M H, et al. Four-Wave Mixing and Biphoton Generation in a Two-Level System. Phys. Rev. Lett., 2007, 98: 053601. Du S W, Oh E, Wen J M, Rubin M H. Four-wave mixing in three-level systems: Interference and entanglement. Phys. Rev. A., 2007, 76: 013803.
Nie Z Q, Zheng H B, Li P Z, et al. Interacting multiwave mixing in a five-level atomic system. Phys. Rev. A, 2008, 77: 063829.
Wu Y, Deng L. Ultraslow Optical Solitons in a Cold Four-State Medium. Phys Rev. Lett., 2004, 93: 143904.
Wu Y, Saldana J, Zhu Y F. Large enhancement of four-wave mixing by suppression of photon absorption from electromagnetically induced transparency. Phys. Rev. A, 2003, 67: 013811.
Moll K D, Homoelle D, Gaeta A L, et al. Conical Harmonic Generation in Isotropic Materials. Phys. Rev. Lett., 2002, 88: 153901.
Joshi A, Xiao M. Phase gate with a four-level inverted-Y system. Phys. Rev. A, 2005, 72: 062319.
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(2009). Multi-dressed MWM Processes. In: Multi-Wave Mixing Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89528-2_8
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DOI: https://doi.org/10.1007/978-3-540-89528-2_8
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