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Physical Review A

Vibronic quantum beat in pump-probe experiments

S. Saikan

Published Nov 1, 1988• 20 citations
Publisher

Abstract

The temperature dependence of vibronic quantum beats in dye-doped polymer films has been investigated using femtosecond accumulated photon echoes. It has been found that the vibronic quantum beat is not discernible above liquid-nitrogen temperature. It makes a striking contrast with the previous observation of the quantum beat in transient pump-probe experiments performed at room temperature. Based on the density matrix incorporating the fluctuation of the transition frequency, it is pointed out that there is no contribution of sublevel coherence to the accumulated photon echo, and the line broadening of the vibronic state or phonon sideband obscures the quantum beat at higher temperature. On the other hand, in the transient pump-probe experiment, the quantum beat is caused by the sublevel coherence, as was previously pointed out by Mitsunaga and Tang [Phys. Rev. A 35, 1720 (1987)]. Hence it is concluded that the influence of the frequency fluctuation on the sublevel coherence is relatively small despite the serious line broadening of the vibronic state.

DOI
10.1103/physreva.38.4669

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The temperature dependence of vibronic quantum beats in dye-doped polymer films has been investigated using femtosecond accumulated photon echoes. It has been found that the vibronic quantum beat is not discernible above liquid-nitrogen temperature. It makes a striking contrast with the previous observation of the quantum beat in transient pump-probe experiments performed at room temperature. Based on the density matrix incorporating the fluctuation of the transition frequency, it is pointed out that there is no contribution of sublevel coherence to the accumulated photon echo, and the line broadening of the vibronic state or phonon sideband obscures the quantum beat at higher temperature. On the other hand, in the transient pump-probe experiment, the quantum beat is caused by the sublevel coherence, as was previously pointed out by Mitsunaga and Tang [Phys. Rev. A 35, 1720 (1987)]. Hence it is concluded that the influence of the frequency fluctuation on the sublevel coherence is relatively small despite the serious line broadening of the vibronic state.
Fourier-transform photon echo spectroscopy has been applied to the vibronic absorption band in dye molecule. The quantum beat between the vibronic lines has been observed in cresyl-violet and tetraphenyl-porphine doped in polymer films. The vibronic lines associated with the quantum beat have been identified with comparing the Fourier-transformed spectrum of the echo signal and the persistent hole-burning spectrum. The observed steep temperature dependence of the vibronic coherence has been discussed in comparison with the mild temperature dependence of vibrational coherence (sublevel coherence between vibronic states).
Fourier-transform spectroscopy using the technique of femtosecond accumulated photon echo with incoherent light has been performed in dye-doped polymers. Several types of interference effect or quantum beat between the zero-phonon line and other spectral components including the phonon sideband, the vibronic lines, and the photoproduct state have been observed. Based on the density matrix incorporating the transition-frequency modulation, it is pointed out that the factorization approximation for the relaxation function holds rigorously in the accumulated photon echo. We also clarified that the Fourier cosine transform of the heterodyne-detected echo signal provides the hole-burning spectrum.
Subpicosecond photon echo quantum beats were studied in a dye, Rhodamine 800, doped in a polymer (polyvinyl alcohol) by using an incoherent photon echo technique. At the long-wavelength tail of absorption, photon echo quantum beats were observed as the sinusoidal modulation with the frequency of about 100 cm-1, which resulted from the interference between a single vibronic line and the zero-phonon line. The dephasing time of the vibronic line and its temperature dependence were briefly studied. At nearly the peak of absorption, the quantum beats appeared as more complicated modulation, indicating the contribution from multiple vibronic lines.
The first observation is reported of the primary and stimulated femtosecond photon echoes at liquid nitrogen and room temperatures in a dye-doped polymer film at a wavelength of 780 nm. Echo signals were generated by pulses with the duration of 65 fs. The primary echo signal decay at liquid nitrogen and room temperatures can not be described by a simple exponential function. The decay of primary echo signal at room temperature demonstrates complex behavior caused by the presence of the phonon-side band in the optical band of impurity centers. There were also detected signals of the self-diffraction of exciting pulses on a nonequilibrium population difference grating, induced in resonant medium by these pulses.
The temperature-dependent femtosecond dephasing of vibronic lines of a dye, Nile blue, doped in a polymer (polyvinyl alcohol) was studied by using an incoherent-photon-echo technique. It is, to our knowledge, the first detailed study on temperature-dependent dephasing for vibronic lines in a dye-doped polymer system. Photon echoes for the vibronic lines displayed an exponential decay with the dephasing times less than 100 fs, and the temperature dependence of the dephasing was found to follow a power law of T1.5{\mathit{T}}^{1.5}T1.5 in the temperature range from 9.5 to 130 K. By comparing the results with the behavior of the zero-phonon line, we discuss the effect of the interactions with so-called two-level tunneling system and phonons in the polymer host on the femtosecond dephasing of the vibronic lines.
The first observation is reported of the primary and stimulated femtosecond photon echoes at liquid nitrogen and room temperatures in a dye-doped polymer film at a wavelength of 780 nm. Echo signals were generated by pulses with the duration of 130 fs. The primary echo signal decay at a liquid nitrogen temperature can not be described by a simple exponential function. There is a fast decay region below 250-300 fs and a slow decay region at longer time intervals. The decay of primary echo signal at room temperature demonstrates complex behavior caused by the presence of the phonon-side band in the optical band of impurity centers. There were also detected signals of the self-diffraction of exciting pulses on a nonequilibrium population difference grating, induced in resonant medium by these pulses.