Abstract
In this chapter, phase-sensitive heterodyne (or homodyne) detection technique is developed in investigating real (dispersion) and imaginary (absorption) parts of high-order nonlinear susceptibilities using color-locked twin noisy fields. In a three-level system, the complex third-order nonlinear susceptibility is determined by heterodyning signals from the two-photon ND-FWM with the reference signal from another one-photon DFWM process in the same system, which propagate along the same optical path and have the same frequency. By controlling the relative phase between these two co-existing nonlinear wave-mixing processes, the third-order nonlinear absorption and dispersion of such ultrafast polarization beat signals can be obtained. Using such phase-sensitive heterodyne detection technique, real and imaginary parts of the fifth-order (χ(5)) and seventh-order (χ(7)) nonlinear susceptibilities can be determined through beating between the SWM signal and a FWM reference (local oscillator) beam and between the EWM signal and a SWM reference (local oscillator) beam, respectively, in specially designed energy-level configurations. The greatly enhanced third- fifth- and seventh-order nonlinear responses with different signs can be modified and controlled through the color-locked correlations of twin noisy fields. Determining and controlling real and imaginary parts of the high-order nonlinear susceptibilities is very important in understanding the propagation of high-intensity pulses and solitons, and can lead to many other interesting applications.
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References
Jain M, Xia H, Yin G Y, et al. Efficient nonlinear frequency conversion with maximal atomic coherence. Phys. Rev. Lett., 1996, 77: 4326–4329. 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.
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 Q, Xiao M. Enhancement of nondegenerate four-wave mixing based on electromagnetically induced transparency in rubidium atoms. Opt. Lett., 1996, 21: 1064-1066.
Kang H, Hernandez G, Zhu Y F. Resonant four-wave mixing with slow light. Phys. Rev. A, 2004, 70: 061804(R). Kang H, Hernandez G, Zhu Y F. Superluminal and slow light propagation in cold atoms. Phys. Rev. A, 2004, 70, 011801(R).
Wang H, Goorskey D, Xiao M. Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system. Phys. Rev. Lett., 2001 87: 073601. Wang H, Goorskey D J, Xiao M. Dependence of enhanced Kerr nonlinearity on coupling power in a three-level atomic system. Opt. Lett., 2002, 27: 258-260.
Kang H S, Zhu Y F. Observation of large Kerr nonlinearity at low light intensities. Phys. Rev. Lett., 2003, 91: 093601.
Ma H, Acioli L H, Gomes A S L, et al. Method to determine the phase dispersion of the 3rd-order susceptibility. Opt. Lett., 1991, 16: 630; Ma H, Gomes A S L, De Araujo C B. Raman-assisted polarization beats in time-delayed four-wave mixing. Opt. Lett., 1992, 17: 1052-1054; Ma H, De Araujo C B. Interference between 3rd-order and 5th-order polarizations in semiconductor-doped glasses. Phys. Rev. Lett., 1993, 71: 3649.
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; Zhang Y P, Gan C L, Song J P, et al. Attosecond sum-frequency Raman-enhanced polarization beating by use of twin phase-sensitive color locking noisy light beams. J. Opt. Soc. Am. B, 2005, 22: 694-711.
DeBeer D, Usadi E, Hartmann S R. Attosecond beats in sodium vapor. Phys. Rev. Lett., 1988, 60: 1262–1266.
Fu P M, Mi X, Yu Z H, et al. Ultrafast modulation spectroscopy in a cascade three-level system. Phys. Rev. A, 1995, 52: 4867–4870.
Zhang Y P, De Araujo C B, Eyler E E. Higher-order correlation on polarization beats in Markovian stochastic fields. Phys. Rev. A, 2001, 63: 043802; 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.
Morita N, Yajima T. Ultrahigh-time-resolution coherent transient spectroscopy with incoherent light. Phys. Rev. A, 1984, 30: 2525–2536; Ulness D J. On the role of classical field time correlations in noisy light spectroscopy: color locking and a spectral filter analogy. J. Phys. Chem. A, 2003, 107: 8111-8123; Schulz T F, Aung P P, Weisel L R, et al. Complete cancellation of noise by means of color-locking in nearly degenerate, four-wave mixing of noisy light. J. Opt. Soc. Am. B, 2005, 22: 1052-1061; Kirkwood J C, Ulness D J, Albrecht A C. On the classification of the electric field spectroscopies: Application to Raman scattering. J. Phys. Chem. A, 2000, 104: 4167-4173.
Burkett W H, Lu B, Xiao M. Influence of injection current noise on the spectral characteristics of semiconductor lasers. IEEE J. Quantum Electron., 1997, 33: 2111–2118.
Drescher M, Hentschel M, Kienberger R, et al. Time-resolved atomic inner-shell spectroscopy. Nature, 2002, 419: 803–807.
Garrett W R, Moore M A, Hart R C, et al. Suppression effects in stimulated hyperRaman emissions and parametric four-wave mixing in sodium vapor. Phys. Rev. A, 1992, 45: 6687–6709.
Paz-Alonso M J, Michinel H. Superfluidlike motion of vortices in light condensates. Phys. Rev. Lett., 2005, 94: 093901–093904; Michinel H, Paz-Alonso M J. Turning light into a liquid via atomic coherence. Phys. Rev. Lett., 2006, 96: 023903-023906.
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; Moll K D, Homoelle D, Gaeta A L, et al. Conical harmonic generation in isotropic materials Phys. Rev. Lett., 2002, 88: 153901-153904.
Ma H, De Araujo L E E, Gomes A S L, et al. Phase measurements of the fifth-order susceptibility of Cd(S, Se)-doped glasses. Opt. Commun., 1993, 102: 89–92.
Zhang Y P, Gan C L, Xiao M. Modified two-photon absorption and dispersion of ultrafast third-order polarization beats via twin noisy driving fields. Phys. Rev. A, 2006, 73: 053801.
Zhang Y P, Brown A. W, Gan C L, et al. Intermixing between four-wave mixing and six-wave mixing in a four-level atomic system. J. Phys. B, 2007, 40: 3319–3329.
Zhang Y P, Anderson B, Xiao M. Coexistence of four-wave, six-wave and eight-wave mixing processes in multi-dressed atomic systems. J. Phys. B, 2008, 41: 045502.
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(2009). Heterodyne/Homodyne Detection of MWM. In: Multi-Wave Mixing Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89528-2_4
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DOI: https://doi.org/10.1007/978-3-540-89528-2_4
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