Optical echo-spectroscopy of highly doped Tm:YAG A A Kalachev, K R Karimullin, V V Samartsev et al.
IntroductionEarlier, we predicted a possibility to observe the correlated free induction decay (CFID) signals [1]. Then, in paper [2], it was shown that the signals of stimulated photon echo (SPE) can also be correlated since they are in fact the same signals of free induction decay formed in a nonreversible system. Now let us pay attention to the fact that the correlation can exist also between the signals of accumulated photon echo (APE). The order of their excitation is similar to that of SPE, but at the presence of cumulative effect [3,4]. The aim of this paper is to analyze the conditions of formation of the correlated APE responses on quantum dots CdSe -CdS. The peculiarities of a such quantum dots synthesis were presented in [5]. The correlation between the SPE signals as well as the correlation between CFID signals in [1] is understood as their identity which is due to the presence of EPR pairs (Einstein-Podolsky-Rosen pairs [6]) formed in the sample under its multi-photon excitation by two crossed beams of Ti:Sa laser radiation. The exciting beams are of the same 800-nm wavelength but they have different wave vectors k 1 and k 2 . In the case of correlated FID signals two different nonequilibrium EPR-gratings k 1 -k 2 and k 2 -k 1 simultaneously appear in a resonant medium as a result of excitation. The correlated signals are in fact the coherent responses scattered by these gratings in opposite directions. As for both correlated SPE and APE signals the situation is more complicated. There are two exciting pulses which act at one and the same area of a sample before the influence of the third (reading) pulse k 3 . It is well-known fact that SPE as well as APE signals are formed due to the diagonal part of a density matrix after two exciting pulses. That is why in this case EPR-gratings k 1 -k 2 and k 2 -k 1 are the nonequilibrium population gratings formed after the action of two exciting pulses. The theory of EPRgratings formation in nanostructured semiconductor sample under its multi-photon excitation by laser radiation was presented in [7]. The special case of the sample containing CdSe-CdS colloidal quantum dots was discussed in [2].