In this paper we present a unified approach for the control and inversion of molecular dynamics. The concept of molecular tracking ties the subjects to a common formulation. For molecular control the time-dependent track of an observable operator is imposed a priori and the control field is determined to meet the track. For extraction of the potential and/or dipole function the time-dependent track is observed laboratory data. A common three-step algorithm is presented to treat both seemingly unrelated problems. The essential features of the algorithm are presented in the paper.
Dipole-dipole interactions between excited Rb atoms at long range (approximately 300a0-2150a0) have been observed with molecular wave packets and a coherent nonlinear optical process. Fourier analysis of the parametric four-wave mixing (PFWM) signal wave intensity produced in femtosecond pump-probe experiments demonstrates the appearance of sidebands associated with the Rb 7s-5d(5/2) quantum beating frequency of approximately 18.3 THz. Calculations show that the observed sideband splittings and Fourier domain profiles result from multiple atom, dipole-dipole interactions, and ensembles comprising five or fewer Rb (7s, 6p) atoms account for virtually all of the data.
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