Svetlana A. Kotochigova

Creation of a Dipolar Superfluid in Optical Lattices

We show that, by loading a Bose-Einstein condensate of two different atomic species into an optical lattice, it is possible to achieve a Mott-insulator phase with exactly one atom of each species per lattice site. A subsequent photoassociation leads to the formation of one heteronuclear molecule with a large electric dipole moment, at each lattice site. The melting of such a dipolar Mott insulator creates a dipolar superfluid, and eventually a dipolar molecular condensate.

Ab initio relativistic calculation of the RbCs molecule.

We apply the relativistic configuration-interaction valence-bond method to calculate various characteristics of the alkali-metal RbCs dimer. These include the electronic potentials and transition dipole moments between the ground and first excited states and permanent dipole moments of the X 1sigma+ and a 3sigma+ states of the ground configuration. In addition, we estimate the lifetime of the rovibrational levels of the X state due to blackbody radiation. These data can help experimentalists to optimize photoassociative formation of ultracold RbCs molecules and their longevity in a trap or in an optical lattice. Extended basis sets, constructed from Dirac-Fock and Sturms orbitals, have been used to ensure convergence of our calculations. We compare our data with other theoretical and experimental results when they were available.

Ab Initio Calculation of the KRb Dipole Moments

The relativistic configuration interaction valence-bond method has been used to calculate permanent and transition electric dipole moments of the KRb heteronuclear molecule as a function of internuclear separation. The permanent dipole moment of the ground-state X {sup 1}{sigma}{sup +} potential is found to be 0.30(2) ea{sub 0} at the equilibrium internuclear separation with excess negative charge on the potassium atom. For the a {sup 3}{sigma}{sup +} potential the dipole moment is an order of smaller magnitude (1 ea{sub 0}=8.47835 10{sup -30} Cm). In addition, we calculate transition dipole moments between the two ground-state and excited-state potentials that dissociate to the K(4s)+Rb(5p) limits. Using this data we propose a way to produce singlet X {sup 1}{sigma}{sup +} KRb molecules by a two-photon Raman process starting from an ultracold mixture of doubly spin-polarized ground state K and Rb atoms. This Raman process is only allowed due to relativistic spin-orbit couplings and the absence of gerade-ungerade selection rules in heteronuclear dimers.

Scattering length of the ground-state Mg+Mg collision

We have constructed the

Extensive calculations of high-precision energy levels in hydrogen and deuterium through a least-squares adjustment

X{}^{1}{ensuremath{Sigma}}_{g}^{+}

Accurate wavelengths for X‐ray spectroscopy and the NIST hydrogen‐like ion database

potential for the collision between two ground-state Mg atoms and analyzed the effect of uncertainties in the shape of the potential on scattering properties at ultracold temperatures. This potential reproduces the experimental term values to

Relativistic Valence Bond Theory and its Application to Metastable XE2

0.2 {mathrm{cm}}^{ensuremath{-}1}

X-Ray Form Factor, Attenuation and Scattering Tables (version 2.0)

and has a scattering length of

X-Ray form factor, attenuation, and scattering tables

+1.4(5) mathrm{nm}

LOCAL-DENSITY-FUNCTIONAL CALCULATIONS OF THE ENERGY OF ATOMS

where the error is predominantly due to the uncertainty in the dissociation energy and the