Fig. 4: Relaxation dynamics.
From: Ultracold Feshbach molecules in an orbital optical lattice
a, Half-lives τ of Feshbach dimers in the dipole trap plotted versus ξ (upper axis) and aS (lower axis). The inset shows an exemplary measurement of τ for the light green data point indicated by the black arrow. The black solid line is a fit for the domain ξ > 2 with a straight line, extrapolated to the domain ξ < 2, indicating a power law τ ∝ ξ−κ with κ = 0.84 ± 0.05. b, Half-lives of Feshbach dimers prepared in the first and second Bloch bands of an optical lattice (orange circles and magenta squares, respectively). The lattice depth is \({V}_{0}^{\,(M)}=8\,{E}_{{{{\rm{rec}}}}}^{\,(M)}\) and θ = 0.4π for the first Bloch band and 0.535π for the second Bloch band. The black solid line is a common fit for data of both bands within the domain ξ > 2 with a straight line, extrapolated to the domain ξ < 2 (dashed continuation), indicating a power law τ ∝ ξ−κ with κ = 1.28 ± 0.06. The error bars for \(\tau ={({n}_{0}\beta )}^{-1}\) in a and b are determined by propagating the errors for n0 and β obtained in the fit procedure applied to determine τ. For data symbols with no visible error bar, the error is smaller than the symbol diameter. Each data point in a lifetime measurement averages over six experimental repetitions. The insets at the top boundary of b illustrate the different relaxation paths found in the second Bloch band for small and large ξ.
