scholarly journals Universal Scattering of Ultracold Atoms and Molecules in Optical Potentials

Atoms ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 36 ◽  
Author(s):  
Hui Li ◽  
Ming Li ◽  
Constantinos Makrides ◽  
Alexander Petrov ◽  
Svetlana Kotochigova

Universal collisions describe the reaction of molecules and atoms as dominated by long-range interparticle interactions. Here, we calculate the universal inelastic rate coefficients for a large group of ultracold polar molecules in their lower ro-vibrational states colliding with one of their constituent atoms. The rate coefficients are solely determined by values of the dispersion coefficient and reduced mass of the collisional system. We use the ab initio coupled-cluster linear response method to compute dynamic molecular polarizabilities and obtain the dispersion coefficients for some of the collisional partners and use values from the literature for others. Our polarizability calculations agree well with available experimental measurements. Comparison of our inelastic rate coefficients with results of numerically exact quantum-mechanical calculations leads us to conjecture that collisions with heavier atoms can be expected to be more universal.

1996 ◽  
Vol 100 (32) ◽  
pp. 13588-13593 ◽  
Author(s):  
Steven L. Mielke ◽  
Thomas C. Allison ◽  
Donald G. Truhlar ◽  
David W. Schwenke

1966 ◽  
Vol 21 (3) ◽  
pp. 252-255
Author(s):  
H. Koppe ◽  
G. Spies

The quantum mechanical cluster expansion, when applied to the partition function of a gas consisting of atoms whose bound states are the rotational and vibrational states of diatomic molecules, provides an exact expression for the degree of dissociation. The approximation containing only the second cluster integral is shown to be identical with the law of mass action involving the binary collision approximation for the activity coefficient of the dissociated constituent. This coefficient can be calculated from the phase shifts and thus from the cross sections of the elastic atom-atom-scattering.


2020 ◽  
Vol 6 (14) ◽  
pp. eaay4058 ◽  
Author(s):  
Stephen H. Yuwono ◽  
Ilias Magoulas ◽  
Piotr Piecuch

The high-lying vibrational states of the magnesium dimer (Mg2), which has been recognized as an important system in studies of ultracold and collisional phenomena, have eluded experimental characterization for half a century. Until now, only the first 14 vibrational states of Mg2 have been experimentally resolved, although it has been suggested that the ground-state potential may support five additional levels. Here, we present highly accurate ab initio potential energy curves based on state-of-the-art coupled-cluster and full configuration interaction computations for the ground and excited electronic states involved in the experimental investigations of Mg2. Our ground-state potential unambiguously confirms the existence of 19 vibrational levels, with ~1 cm−1 root mean square deviation between the calculated rovibrational term values and the available experimental and experimentally derived data. Our computations reproduce the latest laser-induced fluorescence spectrum and provide guidance for the experimental detection of the previously unresolved vibrational levels.


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