Stabilization of Ultracold Molecules Using Optimal Control Theory

Abstract

In recent experiments on ultracold matter, molecules have been produced from ultracold atoms by photoassociation, Feshbach resonances, and three-body recombination. The created molecules are translationally cold, but vibrationally highly excited. This will eventually lead them to be lost from the trap due to collisions. We propose shaped laser pulses to transfer these highly excited molecules to their ground vibrational level. Optimal control theory is employed to find the light field that will carry out this task with minimum intensity. We present results for the sodium dimer. The final target can be reached to within 99% if the initial guess field is physically motivated. We find that the optimal fields contain the transition frequencies required by a good Franck-Condon pumping scheme. The analysis is able to identify the ranges of intensity and pulse duration which are able to achieve this task before other competing process take place. Such a scheme could produce stable ultracold molecular samples or even stable molecular Bose-Einstein condensates.

References in corpus (15)

• Observation of Bose-Einstein Condensation of Molecules
• Creation of ultracold molecules from a Fermi gas of atoms
• Atom--Molecule Coherence in a Bose-Einstein Condensate
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Optimal control theory for unitary transformations
• Observation of molecules produced from a Bose-Einstein condensate
• Formation of Quantum-Degenerate Sodium Molecules
• Photoassociation of sodium in a Bose-Einstein condensate
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Bose-Stimulated Raman Adiabatic Passage in Photoassociation
• Quantum Dynamics of Ultracold Na + Na_2 collisions
• Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate
• Sensitive Detection of Cold Cesium Molecules by Radiative Feshbach Spectroscopy
• Photoassociation of cold atoms with chirped laser pulses: time-dependent calculations and analysis of the adiabatic transfer within a two-state model
• Pair dynamics in the formation of molecules in a Bose-Einstein condensate

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