© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Journal of the Optical Society of America B

Complete cancellation of noise by means of color-locking in nearly degenerate, four-wave mixing of noisy light

Tanner F. Schulz, Pye Phyo Aung, Lindsay R. Weisel, Krista M. Cosert, Mark W. Gealy, Darin J. Ulness

Published May 1, 2005• 5 citations

Abstract

A nearly degenerate, four-wave mixing (ND4WM) setup with noisy light called I^(2)ND4WM(-) is investigated both experimentally and theoretically through factorized-time-correlation (FTC) diagram analysis. This third order nonlinear signal is of interest because the phenomenon of color-locking appears very directly in the measured signal. Color locking is a fundamental aspect of noisy-light spectroscopies that often plays a critical but subtle role in production of the signal. For I^(2)ND4WM(-), color-locking results in complete cancellation of the spectrally broad noise carried by the noisy light used to create it. When combined with FTC diagram analysis the qualitative features of the I^(2)ND4WM(-) can be understood. In addition to the striking noise cancellation, the qualitative features addressed in this work include the time profile, dynamic range, and polarization dependence of the signal. For comparison the spectrally broad I^(2)ND4WM(+) signal is presented.

DOI: 10.1364/josab.22.001052

Related papers

Analysis of Raman-enhanced nondegenerate four-wave mixing with factorized time correlator diagrams

Eric C. Booth, Britt G. Berger, Zachary C. Johnson +3 more

The work of Fu et al. regarding temporal signal behavior in noisy light-induced, Raman-enhanced, nondegenerate four-wave mixing (I(2)RENFWM) is reassessed using factorized time correlation (FTC) analysis. Close correspondence is observed between the FTC predictions and the prior analysis. Strikingly, the observed experimental and theoretical behavior of the I(2)RENFWM signal is largely captured by a single FTC diagram, from which physical insight can be obtained.

Journal of the Optical Society of America B•Apr 27, 2006•3 citations

Interferometric six-wave mixing spectroscopy with broadband light: Isomorphism and factorized time correlator diagrams

Jason C. Kirkwood, A. C. Albrecht

The theory of an interferometric six-wave mixing quasiecho signal from a modeled molecular liquid using broadband (``noisy'') light is reported. The line-shaping function is treated by a standard mixture of a dynamic (homogeneous) dephasing process and a static (inhomogeneous) Bohr frequency distribution. Simulations are presented in either limit of the overall process to demonstrate the rephasing aspects of this nonlinear spectroscopy. The general aspects of the two-dimensional signal are inferred from factorized time correlator (FTC) diagrams. These diagrams pictorially represent the correlation functions of the random noise (associated with the broadband light) that arise upon stochastic averaging at the signal level. The entire set of FTC diagrams is seen to be isomorphic with those that describe a nonecho interferometric noisy light spectroscopy at fifth order, and the third-order electronically resonant four-wave mixing. Similarities between these three very different processes are discussed in terms of this one-to-one correspondence.

Physical Review A•Mar 7, 2000•6 citations

Broadband degenerate four-wave-mixing measurements

Stanislav G. Rozouvan

The nonlinear signal in a degenerate four-wave mixing experiment as a result of diffraction of a spatially distributed third-order nonlinearity is studied theoretically. The approach has been applied for the case of monochromatic and ultrashort pulses. As a consequence, the degenerate four-wave mixing signal is found to be independent of light-coherence parameters and cannot be explained as a product of diffraction on a dynamic grating. In this model only the fast component of the signal (the coherent artifact) is related directly to third-order nonlinear processes. The main features (the origins, temporal shapes, dependencies of pump intensity, and modulation effects) of the coherent artifact and a slow-decay component are discussed theoretically and experimentally.

Journal of the Optical Society of America B•Aug 1, 2000•2 citations

Four-wave mixing in a Bloch two-level system with incoherent laser light having a Lorentzian spectral density: Analytic solution and a diagrammatic approach

Darin J. Ulness, A. C. Albrecht

Degenerate four-wave mixing using broadband, non-transform-limited (incoherent) laser light having a Lorentzian spectral density is treated analytically for a Bloch two-level system. We consider the configuration in which an incoherent beam from a Lorentzian source is split into two beams having distinct k vectors, k and ${\mathit{k}}^{\ensuremath{'}}$. The twin beam along ${\mathit{k}}^{\ensuremath{'}}$ has been subjected to a controllable delay, \ensuremath{\tau}, relative to k. These twin beams, focused into the sample of interest, generate new fourth fields, the signal at ${\mathit{k}}_{\mathit{s}}$=2k-${\mathit{k}}^{\ensuremath{'}}$ being examined here as a function of \ensuremath{\tau}. A set of factorized time correlation (FTC) diagrams is introduced to organize the calculation and to yield both analytic expressions as well as physical insight. Not only is the signal not symmetric in \ensuremath{\tau} but the signal can peak at \ensuremath{\tau}\ensuremath{\ne}0 even in the absence of inhomogeneous broadening. Finally, the physical insights and the use of the FTC diagrams are extended to rationalize several other incoherent light spectroscopies. \textcopyright{} 1996 The American Physical Society.

Physical Review A•Feb 1, 1996•43 citations

Modified two-photon absorption and dispersion of ultrafast third-order polarization beats via twin noisy driving fields

Yanpeng Zhang, Chenli Gan, Min Xiao

We investigate the color-locked twin-noisy-field correlation effects in third-order nonlinear absorption and dispersion of ultrafast polarization beats. We demonstrate a phase-sensitive method for studying the two-photon nondegenerate four-wave mixing (NDFWM) due to atomic coherence in a multilevel system. The reference signal is another one-photon degenerate four-wave-mixing signal, which propagates along the same optical path as the NDFWM signal. This method is used for studying the phase dispersion of the third-order susceptibility and for the optical heterodyne detection of the NDFWM signal. The third-order nonlinear response can be controlled and modified through the color-locked correlation of twin noisy fields.

Physical Review A•May 1, 2006•14 citations

Degenerate four-wave-mixing intensity noise fluctuations as a spectroscopic tool

H. Failache, Marcos Oriá, A. Lezama

We explore the use of degenerate four-wave-mixing (DFWM) intensity noise fluctuations as a spectroscopic tool for the study of atomic dynamics. Experimental results obtained from the spectral analysis of the intensity noise of the DFWM signal produced by a free running diode laser in a rubidium vapor cell are presented. For low exciting field intensities, the spectra are single peaked with a linewidth comparable to the atomic natural linewidth while at higher intensities a structure devleops revealing the existence of a dynamic Stark effect. The results are compared with numerical simulations of the power spectrum of the DFWM signal produced by a phase-diffusing field incident on two-level atoms.

Physical Review A•Jul 1, 1995•2 citations

A nearly degenerate, four-wave mixing (ND4WM) setup with noisy light called I^(2)ND4WM(-) is investigated both experimentally and theoretically through factorized-time-correlation (FTC) diagram analysis. This third order nonlinear signal is of interest because the phenomenon of color-locking appears very directly in the measured signal. Color locking is a fundamental aspect of noisy-light spectroscopies that often plays a critical but subtle role in production of the signal. For I^(2)ND4WM(-), color-locking results in complete cancellation of the spectrally broad noise carried by the noisy light used to create it. When combined with FTC diagram analysis the qualitative features of the I^(2)ND4WM(-) can be understood. In addition to the striking noise cancellation, the qualitative features addressed in this work include the time profile, dynamic range, and polarization dependence of the signal. For comparison the spectrally broad I^(2)ND4WM(+) signal is presented.

The theory of an interferometric six-wave mixing quasiecho signal from a modeled molecular liquid using broadband (``noisy'') light is reported. The line-shaping function is treated by a standard mixture of a dynamic (homogeneous) dephasing process and a static (inhomogeneous) Bohr frequency distribution. Simulations are presented in either limit of the overall process to demonstrate the rephasing aspects of this nonlinear spectroscopy. The general aspects of the two-dimensional signal are inferred from factorized time correlator (FTC) diagrams. These diagrams pictorially represent the correlation functions of the random noise (associated with the broadband light) that arise upon stochastic averaging at the signal level. The entire set of FTC diagrams is seen to be isomorphic with those that describe a nonecho interferometric noisy light spectroscopy at fifth order, and the third-order electronically resonant four-wave mixing. Similarities between these three very different processes are discussed in terms of this one-to-one correspondence.

The nonlinear signal in a degenerate four-wave mixing experiment as a result of diffraction of a spatially distributed third-order nonlinearity is studied theoretically. The approach has been applied for the case of monochromatic and ultrashort pulses. As a consequence, the degenerate four-wave mixing signal is found to be independent of light-coherence parameters and cannot be explained as a product of diffraction on a dynamic grating. In this model only the fast component of the signal (the coherent artifact) is related directly to third-order nonlinear processes. The main features (the origins, temporal shapes, dependencies of pump intensity, and modulation effects) of the coherent artifact and a slow-decay component are discussed theoretically and experimentally.

Degenerate four-wave mixing using broadband, non-transform-limited (incoherent) laser light having a Lorentzian spectral density is treated analytically for a Bloch two-level system. We consider the configuration in which an incoherent beam from a Lorentzian source is split into two beams having distinct k vectors, k and ${\mathit{k}}^{\ensuremath{'}}$. The twin beam along ${\mathit{k}}^{\ensuremath{'}}$ has been subjected to a controllable delay, \ensuremath{\tau}, relative to k. These twin beams, focused into the sample of interest, generate new fourth fields, the signal at

{\mathit{k}}_{\mathit{s}}

=2k-${\mathit{k}}^{\ensuremath{'}}$ being examined here as a function of \ensuremath{\tau}. A set of factorized time correlation (FTC) diagrams is introduced to organize the calculation and to yield both analytic expressions as well as physical insight. Not only is the signal not symmetric in \ensuremath{\tau} but the signal can peak at \ensuremath{\tau}\ensuremath{\ne}0 even in the absence of inhomogeneous broadening. Finally, the physical insights and the use of the FTC diagrams are extended to rationalize several other incoherent light spectroscopies. \textcopyright{} 1996 The American Physical Society.

We investigate the color-locked twin-noisy-field correlation effects in third-order nonlinear absorption and dispersion of ultrafast polarization beats. We demonstrate a phase-sensitive method for studying the two-photon nondegenerate four-wave mixing (NDFWM) due to atomic coherence in a multilevel system. The reference signal is another one-photon degenerate four-wave-mixing signal, which propagates along the same optical path as the NDFWM signal. This method is used for studying the phase dispersion of the third-order susceptibility and for the optical heterodyne detection of the NDFWM signal. The third-order nonlinear response can be controlled and modified through the color-locked correlation of twin noisy fields.

We explore the use of degenerate four-wave-mixing (DFWM) intensity noise fluctuations as a spectroscopic tool for the study of atomic dynamics. Experimental results obtained from the spectral analysis of the intensity noise of the DFWM signal produced by a free running diode laser in a rubidium vapor cell are presented. For low exciting field intensities, the spectra are single peaked with a linewidth comparable to the atomic natural linewidth while at higher intensities a structure devleops revealing the existence of a dynamic Stark effect. The results are compared with numerical simulations of the power spectrum of the DFWM signal produced by a phase-diffusing field incident on two-level atoms.