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Chemical Physics Letters

Dynamical theory for temporal and thermal broadening and shift of the single molecule optical line

Игорь Сергеевич Осадько, N.N. Zaitsev

Published Jul 1, 1996• 6 citations
Publisher
DOI
10.1016/0009-2614(96)00504-0

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The spectral diffusion theory developed for explaining the logarithmic temporal broadening of the optical line of an individual impurity center and based on spontaneous tunnel transitions in a polymer or glass is supplemented by taking into account the tunnel transitions occurring in the center itself upon the absorption of a photon. This light-induced additional tunneling leads to a sharp temporal broadening of the optical line from an individual impurity molecule occurring against the background of a slower logarithmic line broadening. It is shown that the inclusion of light-induced tunneling can explain the difference in the temporal line broadening of three individual Terylene molecules introduced in polyethylene, which was measured in experiments by the group headed by M. Orrit [A. M. Boiron et al. , Chem. Phys. 247 , 119 (1999)].
Various theories that use the sudden jump model to explain the time dependence of the optical band of a single molecule in a fluctuating environment are analyzed. It is shown that the dynamic theory of the optical band, based on the Hamiltonian of the system, should necessarily include the initial conditions for the quantum system. We show how these initial conditions should be chosen for the dynamic theory to properly describe the quantum jumps of the optical band of a single molecule. Unlike stochastic theories based on the sudden jump model, the dynamic theory predicts several absorptances of a single molecule and directly connects the absorptance fluctuations with this fact. The theory is used to account for the time dependence of the broadening of experimentally measured lines of individual molecules.
Optical spectroscopy provides a useful tool for probing the structure and dynamics of solids. Over the years, optical methods have evolved from absorption spectroscopy to more complex methods such as spectral hole burning, photon echoes, and luminescence line narrowing. The absorption spectrum provides information about inhomogeneous broadening, while the latter approaches provide information about the systematics of the homogeneous line shape information that is often obscured by inhomogeneous broadening. When external perturbations such as strain or electric fields are applied, details of the local site can be obtained. Recently, the ultimate limit of optical spectroscopy has been attained, in which the spectral properties of individual single impurity molecules in a solid can be measured, with all ensemble averaging removed. This novel regime has provided additional, previously unobtainable, information on a highly local scale, such as the direct observation of the spectral shifting of a single molecule produced by configurational transitions of the host. It is to be expected that further surprises await us in this new frontier of single-molecule spectroscopy in solids.