We report here measurements of two-body associative-ionization collisions between sodium atoms confined in a magneto-optic trap. These collisions represent a kind of "open" or dissipative collision for which the energy of the atom plus applied light field subsystem need not be conserved due to spontaneous-emission coupling to the vacuum modes of the radiation field. The experiment measures the photoassociative-ionization-rate constant as a function of the optical field intensity from about 40 to 260 mWcm . These results are in reasonable agreement with the predictions of an optical-Blochequation theory [Y. B. Band and P. S. Julienne, Phys. Rev. A 46, 330 (1992)],but differ strongly from the predictions of a local-equilibrium theory [A. Gallagher, Phys. Rev. A 44, 4249 (1991)].
PACS number(s): 32.80.PjWe report here studies of collisions between sodium atoms optically confined and cooled by the dissipative spontaneous-light force to temperatures well below T, (=65 mK for sodium), the point at which a collision duration becomes longer than the spontaneous-emission lifetime. Ultracold collisions involving excited states are truly novel because, at the extremely long time and distance scales inherent in this regime, radiative coupling and spontaneous decay become significant, and inelastic collision probabilities can be manipulated by intensity, frequency, and polarization of applied optical fields. Ultracold collisions represent a fundamentally new kind of low-pressure, gas-phase process -an "open" or dissipative one in which the fluctuating, stochastic force of spontaneous emission to the vacuum modes of the radiation field can result in energy nonconservation within the subsystem comprised of the colliding atoms plus applied laser field. Density-matrix methods rather than wavefunction methods must be used to describe the collision, and crucial experimental tests are needed to develop an understanding of the collision dynamics. Such collisions serve as prototype and paradigm systems for studying the properties of nonequilibrium open systems coupled to reservoirs, e.g. , conductance and transport in mesoscopic and macroscopic systems in which irreversibility is present.Reports of atom optical cooling [1] inspired early calculations of photon-stimulated two-body association reactions [2], and the observation of associative ionization (AI) between optically cooled sodium atoms [3] demonstrated the ability to manipulate the inelastic rate constant with radiation field intensity. Recent experiments[4] sweeping the frequency of a dipole optical trap to =4 GHz to the red side of the Na atomic resonance line have revealed structure in the AI production rate and have been interpreted [5] using a model that identifies the specific transient molecular states of the collision intermediate. Collisions in an optical trap are an important loss process limiting attainable density, and studies of total trap-loss rates [6,7] have confirmed the essentially molecular nature of photon absorption during the collisional encounter.In this...