Ultrafast lasers have become one of the most powerful tools in coherent nonlinear optical spectroscopy. Short pulses enable direct observation of fast molecular dynamics [1,2], whereas broad spectral bandwidth offers ways of controlling nonlinear optical processes [3,4] by means of quantum interferences [5]. Special care is usually taken to preserve the coherence of laser pulses as it determines the accuracy of a spectroscopic measurement. Here we present a new approach to coherent Raman spectroscopy based on deliberately introduced noise, which increases the spectral resolution, robustness and efficiency. We probe laser induced molecular vibrations using a broadband laser pulse with intentionally randomized amplitude and phase. The vibrational resonances result in and are identified through the appearance of intensity correlations in the noisy spectrum of coherently scattered photons. Spectral resolution is neither limited by the pulse bandwidth, nor sensitive to the quality of the temporal and spectral profile of the pulses. This is particularly attractive for the applications in microscopy[6], biological imaging [7] and remote sensing [8], where dispersion and scattering properties of the medium often undermine the applicability of ultrafast lasers. The proposed method combines the efficiency and resolution of a coherent process with the robustness of incoherent light. As we demonstrate here, it can be implemented by simply destroying the coherence of a laser pulse, and without any elaborate temporal scanning or spectral shaping commonly required by the frequency-resolved spectroscopic methods with ultrashort pulses.
PACS numbers:We apply our method to coherent anti-Stokes Raman scattering (CARS), which has become the method of choice in nonlinear optical spectroscopy and microscopy [6,9] after the advent of powerful ultrafast lasers. As a third-order nonlinear process, femtosecond CARS exhibits high efficiency at low average laser power. High sensitivity to molecular structure enables detection of small quantities of complex molecules[10] and non-invasive biological imaging [7]. In CARS, pump and Stokes photons of frequencies ω p and ω S , respectively, excite molecular vibrations at frequency Ω = ω p − ω S (Fig. 1a). A probe photon at ω 0 is scattered off the coherent vibrations generating the anti-Stokes signal at frequency ω = (ω 0 +Ω). Temporal and spectral resolution of CARS spectroscopy is typically limited by the duration of the excitation pulses and their frequency bandwidth, respectively. Broadband femtosecond pulses, though advantageous for time-resolved CARS spectroscopy[2, 11], offer poor spectral resolution. The latter can be improved by means of the pulse shaping technique [12,13] which modifies the amplitudes and phases of the spectral constituents of the pulse [14] (Fig. 1b(i)). It enables selective excitation [4,15] or selective probing [16,17] of separate vibrational modes on the frequency scale narrower than the overall pulse bandwidth. Selective excitation is based on the coherent control...