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Physics Letters A

On the time dependence of high-order intensity correlation functions

Cyrus D. Cantrell

Published Jun 1, 1969• 4 citations
Publisher
DOI
10.1016/0375-9601(69)90527-1

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•Jan 1, 2009•0 citations
The time-dependent and intensity-dependent Jaynes—Cummings model are investigated under the rotating wave approximation.We consider the case that the coupling extent of atom and light field is dependent on time in order to close to the fact.By the system's vector at any time t,we can calculate the second-order correlation function of light field.The evolution the second-order correlation function of light field is discussed in the case of different widths of pulse.Here the time pulse we chose is Gaussian shape.The results show that the time-evolution of second-order correlation function in this model is different from other intensity-dependent models,and that we can control the degree of bunching and anti-bunching effectively by controling the pulse width.
In order to properly describe the dynamics of a many-particle system in strong, time-dependent fields, a nonperturbative treatment of all constituents and of their correlation is needed. An ab initio solution of the time-dependent many-body Schrödinger equation is only feasible for simple systems. Hence, for many-electron systems in intense laser fields practicable methods for solving the quantum-mechanical many-body problem are required. An formally exact approach is the time-dependent density functional theory. In this work a mathematically rigorous formulation of the foundations of this theory is given. Further the non-locality in time of the exchange-correlation functionals is examined, and we formally define the notion of "quantum memory". We investigate the fundamental process of Rabi oscillations from a density-functional point of view and find the few-level approximation to be in conflict with the basis of time-dependent density functional theory. Finally, we apply the theory to calculate the electron dynamics of C60 in intense laser pulses. Although the laser light is far off-resonant with respect to the collective modes of the C60 the multi-electron dynamics strongly influences the harmonic spectra. The efficiency of this multi-particle recollision process with respect to the usual single active electron approximation of high-order harmonic generation is estimated by two analytical models.