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AIP conference proceedings

Polarization in collisions between ultra-cold sodium atoms

H G M Heideman

Published Jan 1, 2002• 0 citations
Publisher

Abstract

We have studied polarization effects in the photoassociation of two colliding ultra-cold Na-atoms. In a first step the two colliding atoms absorb a laser photon to associate to a singly excited molecule in a bound state of the 0g− or 1g potential. In a second step the excited molecule absorbs a second photon and is further excited to a bound level in a doubly excited potential (0u− or 1u which are autoionizing). By measuring the produced ions with parallel and perpendicular polarizations of the two laser beams used possible polarization effects can be studied. We find strong polarization effects if a 0g− state is used as the intermediate state and very little or no effects at all if a 1g state is used.

DOI
10.1063/1.1449340

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We have studied polarization effects in the photoassociation of two colliding ultra-cold Na-atoms. In a first step the two colliding atoms absorb a laser photon to associate to a singly excited molecule in a bound state of the 0g− or 1g potential. In a second step the excited molecule absorbs a second photon and is further excited to a bound level in a doubly excited potential (0u− or 1u which are autoionizing). By measuring the produced ions with parallel and perpendicular polarizations of the two laser beams used possible polarization effects can be studied. We find strong polarization effects if a 0g− state is used as the intermediate state and very little or no effects at all if a 1g state is used.
We have performed photoassociation spectroscopy to study the doubly excited states of Na2{\mathrm{Na}}_{2}Na2​ involved in the associative ionization of colliding Na(3P)\mathrm{Na}(3P)Na(3P) atoms. Rovibrational levels of two doubly excited potentials connected to the P3/2+P3/2{P}_{3/2}{+P}_{3/2}P3/2​+P3/2​ asymptote, one of ${0}_{u}^{\ensuremath{-}}$ and one of 1u{1}_{u}1u​ symmetry, have been identified. These two doubly excited potentials dominate the route to ionization used in photoassociation experiments of cold Na. Binding energies and rotational constants for all the vibrational levels with binding energies <50GHz<50\mathrm{GHz}<50GHz have been measured. The asymptotic potentials and short-range ionization probabilities are extracted from the data.
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We report here measurements of two-body photoassociative ionization collisions between sodium atoms within an ultranarrow velocity class selected from a well-collimated, thermal atomic beam. Doppler-shifted excitation of the Na(3s2{\mathrm{}}^{2}2S1/2{\mathit{S}}_{1/2}S1/2​;F=1)\ensuremath{\rightarrow}Na(5p2{\mathrm{}}^{2}2P3/2{\mathit{P}}_{3/2}P3/2​) transition at 285 nm by a single-mode laser defines the narrow velocity class that subsequently populates the F=2 hyperfine level of the Na ground state by optical pumping. Probe laser beam excitation tuned near the Na(3s2{\mathrm{}}^{2}2S1/2{\mathit{S}}_{1/2}S1/2​;F=2)\ensuremath{\rightarrow}Na(3p2{\mathrm{}}^{2}2P3/2{\mathit{P}}_{3/2}P3/2​;F=3) transition produced photoassociative ionization with an average collision energy EK{\mathit{E}}_{\mathit{K}}EK​ corresponding to a temperature of 5.3 mK (EK{\mathit{E}}_{\mathit{K}}EK​=3/2kT). We determine the rate constant for the process as a function of probe beam intensity and polarization.
Photoassociation in laser-assisted collisions of ultracold alkali atoms has been used recently to perform high-precision spectroscopy of very-long-range states. Rovibrational spectra close to the Na(3 2^{2}2S)+Na∗{\mathrm{Na}}^{\mathrm{*}}Na∗(3 2^{2}2P3/2{\mathit{P}}_{3/2}P3/2​) dissociation limit have been obtained by monitoring an enhanced Na2+{\mathrm{Na}}_{2}^{+}Na2+​ ion signal. We propose the use of pump-probe techniques to study the dynamics of the ionization process. At very large distances (typically 70 a.u.) two colliding Na atoms absorb a photon and form a coherent vibrational wave packet. We follow the packet in time and probe two possible mechanisms that are proposed to yield molecular ions: photoionization, where the second photon is absorbed at a small internuclear distance R directly ionizing the molecule, and associative ionization with excitation at intermediate R to the nuclear continuum of a doubly excited state followed by a half collision and autoionization at small R. The latter event can also lead to dissociation of the complex. The two mechanisms lead to distinct differences in the ion signals as a function of delay time between the pump and the probe pulses. Estimates of the ion rates to be expected in actual pump-probe experiments are given, which tend to favor the autoionization mechanism as the dominant reaction path.
The associative ionization ${\mathrm{Na}}^{*}+{\mathrm{Na}}^{*}\ensuremath{\rightarrow}{{\mathrm{Na}}_{2}}^{+}+e$, when Na atoms in a single thermal beam are excited by linearly polarized light, was observed. The ion yield increases by a factor of 1.7 when the light polarization vector is rotated from a perpendicular to a parallel direction with respect to the beam. A theoretical analysis shows that the ionization rates KKK obey the relations K(12,32)=0K(\frac{1}{2}, \frac{3}{2})=0K(21​,23​)=0 and K(12,12)=1.4K(32,32)K(\frac{1}{2}, \frac{1}{2})=1.4K(\frac{3}{2}, \frac{3}{2})K(21​,21​)=1.4K(23​,23​), where the arguments indicate the initial magnetic substates ∣MJ∣|{M}_{J}|∣MJ​∣ of the two colliding atoms.