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Physical Review A

Optical collisions in ultracold atom traps: Two-photon distorted-wave theory

Rubin Solts, A. Ben‐Reuven, Paul S. Julienne

Published Nov 1, 1995• 2 citations
Publisher

Abstract

A perturbative distorted-wave theory is presented here for evaluating weak-field two-photon spectra, collision-induced energy redistribution, and radiative escape rates, produced by radiatively damped optical collisions of atoms in ultracold atom traps. This theory complements and corroborates a complex-potential theory developed recently. Illustrations are given of the use of the present theory in producing various features of one-color or two-color photoassociation spectra, such as the excited-level bound-state resonance structure, or Condon diffraction in the continuum of the final level.

DOI
10.1103/physreva.52.4029

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A perturbative distorted-wave theory is presented here for evaluating weak-field two-photon spectra, collision-induced energy redistribution, and radiative escape rates, produced by radiatively damped optical collisions of atoms in ultracold atom traps. This theory complements and corroborates a complex-potential theory developed recently. Illustrations are given of the use of the present theory in producing various features of one-color or two-color photoassociation spectra, such as the excited-level bound-state resonance structure, or Condon diffraction in the continuum of the final level.
Two recent developments in ultracold atomic collision physics are discussed. The first is the “optical shielding” of ultracold atomic collisions by optical radiation that is tuned to the blue of an atomic resonance. This radiation couples a pair of colliding atoms to repulsive excited states and prevents their close approach. This effect may substantially suppress inelastic collision rates, and is an interesting example of the control of a cold collision process by a weak perturbing field. The second topic is ultracold atom photoassociation spectroscopy. In this work, high resolution free‐bound absorption spectra are obtained which provide detailed information on the long‐range states of the two interacting atoms. The physics of these states has an appealing simplicity, and in addition is of importance for a complete understanding of the effects of atomic interactions in cold atom experiments. The photoassociation spectra also provide a unique probe of cold collisions.
The field of laser cooling and trapping of atoms has had a profound impact on many areas of atomic, molecular and optical science. In particular, ultracold atoms colliding in magneto-optical traps typically have relative kinetic energies of 300muK(sim7MHz)300\\mu K (\\sim 7 MHz)300muK(sim7MHz), so free-bound absorption lines are as sharp as bound-bound lines. Moreover, because of very long range centrifugal barriers, only a few collisional partial waves are important (Jprimeprime=0,1J^{\\prime\\prime} = 0, 1Jprimeprime=0,1 and 2 in our work on 39K^{39}K39K). Such photoassociative free-bound absorption allows observation of ``pure long-range molecule'' states (Re=28R_{e} = 28Re​=28 and 39 {\\AA} in 39K2^{39}K_{2}39K2​) as well as long-range levels of known short range states with outer classical turning points of sim20−250AA\\sim 20 - 250 {\\AA}sim20−250AA. Such spectra have been observed by ``trap loss'' (decrease in atomic fluorescence), molecular ionization, and fragment ionization. Optical-optical double resonance (OODR), e.g. through the ``Franck-Condon windows'' of the ``pure long-range'' states, produces readily assignable spectra at higher asymptotes as well. Further extensions of ultracold photoassociative spectroscopy and applications to determination of long range potentials, atomic properties, and Bose-Einstein condensate stability will be presented.
Specific molecular mechanisms are proposed for associative ionization collisions of ultracold sodium atoms in a hybrid optical trap. When an intense, strongly detuned optical trap laser is on, the ionization rate is modulated by molecular bound-state resonances which are strongly affected by field dressing. When the weak, slightly detuned optical molasses lasers are on to provide cooling, an excitation mechanism which produces the two excited atoms at large internuclear separation in different hyperfine states accounts for the lower observed ionization rate.
The cooling and trapping of atoms and atomic ions is a rapidly advancing field of fundamental science (e.g., Bose-Einstein condensation). We are attempting to extend the field to neutral molecules as well. As a first step, we are studying single- and multicolor photoassociation of ultracold (∼300 μK) 39K atoms confined in a magneto-optical trap. Photoassociation of ultracold atoms (as opposed to thermal atoms) includes sharp resonances with wavelength as long-range rovibrational levels (outer turning points of tens or hundreds of Bohr) are accessed from colliding atomic pairs with ∼10 MHz of relative kinetic energy and only a few partial waves (l=0,1,2). Potential energy curves derived from these spectra test electronic structure and long-range perturbation theory calculations of interatomic potentials. In particular, such studies yield the full set of potential energy curves needed for fully quantum calculations of atomic line broadening at any temperature.
We report on the observation of photoassociation resonances in ultracold collisions between ^{23}Na^{40}K molecules and ^{40}K atoms. We perform photoassociation in a long-wavelength optical dipole trap to form deeply bound triatomic molecules in electronically excited states. The atom-molecule Feshbach resonance is used to enhance the free-bound Franck-Condon overlap. The photoassociation into well-defined quantum states of excited triatomic molecules is identified by observing resonantly enhanced loss features. These loss features depend on the polarization of the photoassociation lasers, allowing us to assign rotational quantum numbers. The observation of ultracold atom-molecule photoassociation resonances paves the way toward preparing ground-state triatomic molecules, provides a new high-resolution spectroscopy technique for polyatomic molecules, and is also important to atom-molecule Feshbach resonances.