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Laser Physics

Ultrafast optical dephasing in experiments on femtosecond and incoherent photon echo: numerical modeling

V. V. Fedyanin, Каримуллин Камиль Равкатович

Published Oct 25, 2019• 7 citations
Publisher

Abstract

Abstract In this paper we develop an approach based on the dynamic theory of optical coherent transients in solids that allows one to describe the processes of ultrafast optical dephasing observed in photon echo spectroscopy in disordered solid-state media. The approach was tested by modeling non-exponential decay curves measured in experiments on femtosecond and incoherent photon echo.

DOI
10.1088/1555-6611/ab4c2c

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Journal of the Physical Society of Japan•Oct 15, 1989•7 citations
Abstract In this paper we develop an approach based on the dynamic theory of optical coherent transients in solids that allows one to describe the processes of ultrafast optical dephasing observed in photon echo spectroscopy in disordered solid-state media. The approach was tested by modeling non-exponential decay curves measured in experiments on femtosecond and incoherent photon echo.
Until now, in spite of a great number of experimental and theoretical works in study of organic amorphous solids, the basic features of the low temperature dynamics of these mediums are poorly understood. One of the main reason of this is the lack of experimental information about these dynamical processes. In particular, it’s necessary to learn more about optical dephasing in doped organic glasses and polymers for wider temperature interval. It will allow to test the existent theories more correctly and to create new conceptions.
A new method of picosecond and femtosecond transient spectroscopy yielding information about ultrafast relaxation processes without requiring ultrashort light pulses is presented. It is based on the present theoretical analysis of the resonant degenerate four-wave-mixing process excited by two temporally incoherent light beams with wave vectors ${\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}_{1}$ and ${\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}_{2}$ which are originated from a single beam at frequency $\ensuremath{\omega}$ but have mutual time delay $\ensuremath{\tau}$. Under the assumption that the incoherent light field has Gaussian random complex amplitude and that the resonant material consists of the usual two-level atoms, the statistically averaged intensity of the output light field with ${\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}_{3}=2{\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}_{2}\ensuremath{-}{\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}_{1}$ at $\ensuremath{\omega}$ is calculated as a function of $\ensuremath{\tau}$. Even with the light having a much longer duration than both T1{T}_{1}T1​ (the longitudinal relaxation time) and T2{T}_{2}T2​ (the transverse relaxation time), the correlation trace, i.e., output intensity versus $\ensuremath{\tau}$, represents a decay profile determined mainly by T2{T}_{2}T2​ for both homogeneously and inhomogeneously broadened transitions, as long as the light correlation time ${\ensuremath{\tau}}_{c}$ is much shorter than the relaxation times. The correlation trace does not always represent a single-exponential decay but is sometimes slightly deformed by the T1{T}_{1}T1​ effect. However, it does not cause a significant error in the determination of T2{T}_{2}T2​. Moreover, as $\frac{{T}_{2}}{{T}_{1}}\ensuremath{\rightarrow}0$, the trace becomes a single-exponential decay curve determined only by T2{T}_{2}T2​. The feature of the results obtained by the present method is similar to that obtained by the conventional coherent transient spectroscopy with short pulses, such as the photon echo. The time resolution in the present method, however, is limited only by ${\ensuremath{\tau}}_{c}$ much shorter than the light duration. By regarding the incoherent light as a series of random ultrashort pulses, the present four-wave-mixing process is also interpreted as the ensemble of numerous transient four-wave-mixing processes caused by various combinations of these pulses.
Semiconductor nanocrystals are a novel class of materials intermediate between the molecular and solid state forms of matter. Their homogenous linewidths and electronic structure are of considerable interest for the understanding of the physics of quantum confinement. In this work we study the electronic and vibrational dephasing dynamics in InP nanocrystals using femtosecond three pulse photon echo (3PPE) experiments1 complemented by nanosecond transient hole-burning (HB) spectroscopy.2 The echo decay is explained by taking into account the multi-level electronic structure as observed in the hole-burning experiment.
Coherent optical phenomena such as the optical Stark effect, Rabi flopping, photon echo and quantum beating which are well-known in atomic spectroscopy can also be observed in semiconductors by using femtosecond laser pulses. On these short time scales, the quantum coherence of the optical excitations in the solid do not only influence the optical properties but change at the same time the relaxation and dephasing kinetics. The quasi-classical Boltzmann kinetics has to be replaced by quantum kinetics. Coherence leads to the appearance of memory in the scattering integrals. For femtosecond four-wave mixing and pump-and-probe spectroscopy the use of quantum kinetics for LO-phonon and for carrier-carrier scattering will be reviewed.
Incoherent light photon echoes were observed in organic amorphous systems (cresyl violet in polyvinyl alcohol and 1,4-dihydroxyanthraquinone in polymethacrylic acid) by using temporally-incoherent nanosecond laser pulses. It was found that an echo decay curve of an organic amorphous system is composed of a sharp peak which decays very rapidly and a slowly decaying wing at the tail. We show that the persistent hole burning (PHB) spectra were reproduced by the Fourier-cosine transforms of the echo decay curves. We claim that in general, we must take into account the multi-level feature of the system in order to explain ultrafast dephasing at very low temperatures.