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Springer eBooks

Light-Induced Collisional Energy Transfer-Revisited

P. R. Berman

Published Jan 1, 1988• 0 citations
Publisher
DOI
10.1007/978-1-4613-0967-3_9

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Generation of magnetic-state polarization in light-induced collisional energy transfer: Weak-field, quasistatic-wing limit

P. R. Berman, F. Schuller, Gerard Nienhuis

A reaction of the form Ai+Ai\ensuremath{'}\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}Af+Af\ensuremath{'}\ensuremath{'} has been referred to as light-induced collisional energy transfer (LICET). In such a reaction, atoms A and A\ensuremath{'} collide in the presence of a radiation field and absorb a photon during the collision, taking them from initial states (Ai,Ai\ensuremath{'}\ensuremath{'}) to different final states (Af,Af\ensuremath{'}\ensuremath{'}). We calculate the final-state magnetic polarization produced in LICET for detunings \ensuremath{\Delta}=[(Ef+Ef\ensuremath{'})-(Ei+Ei\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega})]/\ensuremath{\Elzxh} in the quasistatic wing: that is, for |\ensuremath{\Delta}|\ensuremath{\tau}c\ensuremath{\gg}1, where \ensuremath{\tau}c is the collision duration. Our results are compared with analogous depolarization rates for so-called ``optical'' collisions (reactions of the form Ai+Ai\ensuremath{'}\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}Ai+Af\ensuremath{'}\ensuremath{'}). Similarities and differences between the LICET and ``optical'' collision theories are noted. Final-state LICET magnetic-state polarization is evaluated for a number of different A-A\ensuremath{'} level schemes, assuming a dipole-dipole collisional interaction. Our results are shown to be in good agreement with experiment [A. D\'ebarre, J. Phys. B 15, 1693 (1982)].

Physical Review A•Jul 1, 1990•9 citations

Analysis of the far-wing behavior in the spectrum of the light-induced collisional-energy-transfer process

A. Agresti, P. R. Berman, Arturo Bambini +1 more

The behavior of the quasistatic wing of the light-induced collisional-energy-transfer (LICET) line shape is analyzed. The reaction can be written as ${A}^{\mathrm{*}}$+B+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}A+${B}^{\mathrm{*}\mathrm{*}}$. The two-level model is found to be inadequate to describe the falloff of the spectral line shape in the quasistatic wing. The three-level model, on the other hand, leads to the prediction of a cross section that depends on the detuning in various ways, according to the strength of the collisional coupling and the influence of the van der Waals shifts on the levels under consideration. Good agreement with existing experimental results is found. To check the approximations made in the derivation of these results, numerical evaluation of the transition probability has been performed for several cases. A Monte Carlo simulation of the full LICET spectrum is also presented.

Physical Review A•Sep 1, 1988•36 citations
A reaction of the form Ai+Ai\ensuremath{'}\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}Af+Af\ensuremath{'}\ensuremath{'} has been referred to as light-induced collisional energy transfer (LICET). In such a reaction, atoms A and A\ensuremath{'} collide in the presence of a radiation field and absorb a photon during the collision, taking them from initial states (Ai,Ai\ensuremath{'}\ensuremath{'}) to different final states (Af,Af\ensuremath{'}\ensuremath{'}). We calculate the final-state magnetic polarization produced in LICET for detunings \ensuremath{\Delta}=[(Ef+Ef\ensuremath{'})-(Ei+Ei\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega})]/\ensuremath{\Elzxh} in the quasistatic wing: that is, for |\ensuremath{\Delta}|\ensuremath{\tau}c\ensuremath{\gg}1, where \ensuremath{\tau}c is the collision duration. Our results are compared with analogous depolarization rates for so-called ``optical'' collisions (reactions of the form Ai+Ai\ensuremath{'}\ensuremath{'}+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}Ai+Af\ensuremath{'}\ensuremath{'}). Similarities and differences between the LICET and ``optical'' collision theories are noted. Final-state LICET magnetic-state polarization is evaluated for a number of different A-A\ensuremath{'} level schemes, assuming a dipole-dipole collisional interaction. Our results are shown to be in good agreement with experiment [A. D\'ebarre, J. Phys. B 15, 1693 (1982)].
The behavior of the quasistatic wing of the light-induced collisional-energy-transfer (LICET) line shape is analyzed. The reaction can be written as A∗{A}^{\mathrm{*}}A∗+B+\ensuremath{\Elzxh}\ensuremath{\Omega}\ensuremath{\rightarrow}A+B∗∗{B}^{\mathrm{*}\mathrm{*}}B∗∗. The two-level model is found to be inadequate to describe the falloff of the spectral line shape in the quasistatic wing. The three-level model, on the other hand, leads to the prediction of a cross section that depends on the detuning in various ways, according to the strength of the collisional coupling and the influence of the van der Waals shifts on the levels under consideration. Good agreement with existing experimental results is found. To check the approximations made in the derivation of these results, numerical evaluation of the transition probability has been performed for several cases. A Monte Carlo simulation of the full LICET spectrum is also presented.