Molecule Formation in Optical Lattice Wells by Resonantly Modulated Magnetic Fields

Abstract

We present a theoretical model for formation of molecules in an optical lattice well where a resonant coupling of atomic and molecular states is provided by small oscillations of a magnetic field in the vicinity of a Feshbach resonance. As opposed to an adiabatic sweep over the full resonance, this provides a coherent coupling with a frequency that can be tuned to meet resonance conditions in the system. The effective Rabi frequencies for this coupling are calculated and simulations show perfect Rabi oscillations. Robust production of molecules with an adiabatic sweep of the modulation frequency is demonstrated. For very large oscillation amplitudes, the Rabi oscillations are distorted but still effective and fast association is possible.

5 pages, 6 figures

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Cited by in corpus (10)

• Observation of Heteronuclear Feshbach Molecules from a ${}^{85}$Rb - ${}^{87}$Rb gas
• Cruising through molecular bound state manifolds with radio frequency
• Analytic Harmonic Approach to the N-body problem
• Association of molecules using a resonantly modulated magnetic field
• Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap
• Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields
• Multipole Analysis of Radio-Frequency Reactions in Ultra-Cold Atoms
• Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances
• Log-Periodic Oscillations in the Photo Response of Efimov Trimers
• Photoassociation of Universal Efimov Trimers