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The time-dependent physical spectrum of light*

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TLDR
In this article, the authors investigated the time-dependent spectrum of light from an observational point of view and defined a timedependent "physical spectrum" of light based on the counting rate of a photodetector.
Abstract
We investigate the time-dependent spectrum of light from an observational point of view and define a time-dependent “physical spectrum” of light based on the counting rate of a photodetector. The tunable element, the filter, that allows observation of different spectral components of the light is shown to play an essential role in the time-dependent spectrum. Its bandwidth cannot be taken arbitrarily narrow. We establish the connection between our physical spectrum and other time-dependent spectra associated with Page, Lampard, Silverman, and Kolmogorov, as well as with the Wiener-Khintchine power spectrum. Also, we show the conditions under which these earlier definitions can be used as the first approximations to the complete physical spectrum, and give an expression for the correction terms.

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Citations
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Journal ArticleDOI

Stochastic Liouville, Langevin, Fokker–Planck, and Master Equation Approaches to Quantum Dissipative Systems

TL;DR: In this paper, the authors give an overview and extension of the stochastic Liouville equation focusing on its theoretical background and applications to help further the development of their works, and cast the equation into the hierarchy of equations which can be solved analytically or computationally in a nonperturbative manner including the effect of a colored noise.
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The Rabi frequency in optical spectra

TL;DR: The use of tunable lasers in atomic spectroscopy has provided new opportunities to study the effects of intense coherent resonant radiation on the dynamics of atoms, such as dynamic Stark splitting of resonances, nutational oscillations in fluorescence and periodic photon bunching and antibunching of the emitted light as discussed by the authors.
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Experimental determination of the quantum-mechanical state of a molecular vibrational mode using fluorescence tomography.

TL;DR: A spectroscopic method for the complete characterization of the quantum state of the vibrational mode of a molecule in terms of a phase-space quasiprobability distribution is presented.
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Nonlinear optical signals and spectroscopy with quantum light

TL;DR: Dorfman et al. as mentioned in this paper presented an intuitive diagrammatic approach for calculating ultrafast spectroscopy signals induced by quantum light, focusing on applications involving entangled photons with nonclassical bandwidth properties.
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Quantum theory of spontaneous emission and coherent effects in semiconductor microstructures

TL;DR: In this article, a fully quantum-mechanical theory for the interaction of light and electron-hole excitations in semiconductor quantum-well systems is developed, and the resulting many-body hierarchy for the correlation functions is truncated using a dynamical decoupling scheme leading to coupled semiconductor luminescence and Bloch equations.
References
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Journal ArticleDOI

Power spectrum of light scattered by two-level systems

TL;DR: In this article, the power spectrum of the light scattered by a two-level atom driven near resonance by a monochromatic classical electric field is evaluated, where the atom is assumed to relax to equilibrium with the driving field via radiation damping, which is treated by explicitly coupling the atom to quantized electromagnetic field modes.
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Generalized harmonic analysis

Norbert Wiener
- 01 Dec 1930 - 
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Instantaneous Power Spectra

TL;DR: In this paper, the instantaneous power spectrum of a random function may be averaged over the ensemble of functions, with a resulting stochastic average instantaneous spectrum that is equal to the conventional time average power spectrum.
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Power spectral analysis of non-stationary random processes

TL;DR: In this article, the problem of power spectral analysis for non-stationary processes is discussed from the point of view of physical and engineering applications, with emphasis on defining a nonstationary spectrum whose physical interpretation is similar to that of a stationary spectrum.
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Observation of the resonant Stark effect at optical frequencies

TL;DR: In this paper, the spectrum of resonantly scattered light at right angles to a sodium atomic beam was reported, with the Stark effect sidebands recorded as a function of both the laser intensity and its detuning from resonance.