Mathematics – Probability
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012phrva..85c3627b&link_type=abstract
Physical Review A, vol. 85, Issue 3, id. 033627
Mathematics
Probability
Ultracold Gases, Trapped Gases, Radiative Capture, Direct Reactions, Hydrostatic Stellar Nucleosynthesis
Scientific paper
The quantum dynamics of an ultracold diatomic molecule tunneling and diffusing in a one-dimensional optical lattice exhibits unusual features. While it is known that the process of quantum tunneling through potential barriers can break up a bound-state molecule into a pair of dissociated atoms, interference and reassociation produce intricate patterns in the time-evolving site-dependent probability distribution for finding atoms and bound-state molecules. We find that the bound-state molecule is unusually resilient against break up at ultralow binding energy Eb (Eb much smaller than the barrier height of the lattice potential). After an initial transient, the bound-state molecule spreads with a width that grows as the square root of time. Surprisingly, the width of the probability of finding dissociated atoms does not increase with time as a power law.
Bailey Taylor
Bertulani Carlos A.
Timmermans Eddy
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