Figure 1

(Color online) $J=0$ spectrum of a Rb and a Li atom in a harmonic well in the pseudopotential approximation. The energy scale $\hslash \omega$ of the relative motion harmonic oscillator is chosen as the unit of energy. $\beta =\left(m_{\mathrm{Li}}{\omega }_{\mathrm{Li}}^2\right)∕\left(m_{\mathrm{Rb}}{\omega }_{\mathrm{Rb}}^2\right)=0.4$. The spectrum of the full Hamiltonian including the coupling between c.m. and relative dynamics is shown as the connected, blue lines. The spectrum we get before including the coupling term is shown as red, dashed lines. We have included states up to $N=6$, $n=6$, and $L=l=12$, which gives a total of $637$ product basis states. Note the equidistant c.m. vibrational states of molecular nature when $a_{\mathrm{sc}}>0$.Reuse & Permissions

Figure 2

(Color online) Spectrum for ${}^{87}\mathrm{Rb}\text{−}{}^6\mathrm{Li}$ in an optical lattice well with ${\omega }_{\mathrm{Rb}}=2\pi \times 200\mathrm{kHz}$ and $\beta =m_{\mathrm{Li}}{\omega }_{\mathrm{Li}}^2∕\left(m_{\mathrm{Rb}}{\omega }_{\mathrm{Rb}}^2\right)=0.4$ in the vicinity of a Feshbach resonance with $a_{\mathrm{bg}}=20a_0$. Molecular states that have a c.m. excitation $(N>0)$ are not shown. Association of a heteronuclear molecule is indicated with the lower, red arrow while transfer to a state with angular momentum excitation is illustrated with the upper, green arrow.Reuse & Permissions

Figure 3

(Color online) Resonant association of heteronuclear molecules by an oscillating magnetic field. The time-dependent magnetic field is $B\left(t\right)=B_0-0.05\Delta +0.005\Delta \sin \left({\omega }_{B}t\right)$ where ${\omega }_B=2\pi \times 2660\mathrm{kHz}$. The blue line shows the population of the atomic ground state whereas the population of the molecular ground state is shown with the red, dashed line. ${\omega }_{\mathrm{Rb}}=2\pi \times 200\mathrm{kHz}$, $\beta =m_{\mathrm{Li}}{\omega }_{\mathrm{Li}}^2∕\left(m_{\mathrm{Rb}}{\omega }_{\mathrm{Rb}}^2\right)=0.4$. We have included states up to $N=3$, $n=3$, and $L=l=6$.Reuse & Permissions

Figure 4

(Color online) Rabi oscillations between the atomic ground state and a state with $59\%$ content of $L=l=1$. The time-dependent magnetic field is $B\left(t\right)=B_0-0.05\Delta +0.005\Delta \sin \left({\omega }_{B}t\right)$ where ${\omega }_B=2\pi \times 601\mathrm{kHz}$. The blue line shows the population of the atomic ground state whereas the population of the excited angular momentum state is shown with the red, dashed line. The other parameters are as in Fig. 3.Reuse & Permissions