By performing high-resolution two-color photoassociation spectroscopy, we have successfully determined the binding energies of several of the last bound states of the homonuclear dimers of six different isotopes of ytterbium. These spectroscopic data are in excellent agreement with theoretical calculations based on a simple model potential, which very precisely predicts the s-wave scattering lengths of all 28 pairs of the seven stable isotopes. The s-wave scattering lengths for collision of two atoms of the same isotopic species are 13.33 (18) nm for 168 Yb, 3.38(11) nm for 170 Yb, −0.15(19) nm for 171 Yb, −31.7(3.4) nm for 172 Yb, 10.55(11) nm for 173 Yb, 5.55(8) nm for 174 Yb, and −1.28(23) nm for 176 Yb. The coefficient of the lead term of the long-range van der Waals potential of the Yb2 molecule is C6 = 1932(30) atomic units (E h a 6 0 ≈ 9.573 × 10 −26 J nm 6 ).

We report control of the scattering wave function by an optical Feshbach resonance effect using ytterbium atoms. The narrow intercombination line (1S0-3P1) is used for efficient control as proposed by Ciuryło et al. [Phys. Rev. A 71, 030701(R) (2005)10.1103/PhysRevA.71.030701]. The manipulation of the scattering wave function is monitored with the change of a photoassociation rate caused by another laser. The optical Feshbach resonance is especially efficient for isotopes with large negative scattering lengths such as 172Yb, and we have confirmed that the scattering phase shift divided by the wave number, which gives the scattering length in the zero energy limit, is changed by about 30 nm.

We studied the splitting instability of a quadruply charged vortex both experimentally and theoretically. The density defect, which is a signature of the vortex core, is experimentally observed to deform into a linear shape. The deformed defect is theoretically confirmed to be an array of four linearly aligned singly charged vortices. The array of vortices rotates and precesses simultaneously with different angular velocities. The initial state of the system is not rotationally symmetric, which enables spontaneous splitting without external perturbations.

We report photoassociation spectroscopy of 174Yb for the 1S(0)-1P1 transition at 1 microK, where only the s-wave scattering state contributes to the spectra. The wave function of the s-wave scattering state is obtained from the photoassociation efficiency, and we determine that the C6 potential coefficient is 2300+/-250 a.u. and the s-wave scattering length is 5.53+/-0.11 nm. Based on these parameters, we discuss the scattering properties of s- and d-wave states.

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