We study the periodic potential of a one-dimensional optical lattice originating from a scalar
shift and vector shift by manipulating the lattice polarizations. The ac Stark shift of an optical …

The Kondo effect describes the spin-exchange interaction between localized impurities and
itinerant fermions. The ultracold alkaline-earth atomic gas provides a natural platform for …

We develop the theory of anharmonic confinement-induced resonances (ACIRs). These are
caused by anharmonic excitation of the transverse motion of the center of mass (cm) of two …

When two particles attract via a resonant short-range interaction, three particles always form
an infinite tower of bound states characterized by a discrete scaling symmetry. It has been …

We describe the ground state of a large, dilute, neutral atom Bose–Einstein condensate
(BEC) doped with N strongly coupled mutually indistinguishable, bosonic neutral atoms …

We show that a purely s-wave interaction in three dimensions (3D) can induce higher partial-
wave resonances in mixed dimensions. We develop two-body scattering theories in all three …

We consider an analytic way to make the interacting N-body problem tractable by using
harmonic oscillators in place of the relevant two-body interactions. The two-body terms of the …

The combination of different kinds of ultracold gases constitutes a novel powerful
experimental framework for the investigation of a variety of physical problems. We illustrate …

We consider a single-impurity atom confined to an optical lattice and immersed in a
homogeneous Bose-Einstein condensate (BEC). Interaction of the impurity with the phonon …

We describe a dispersive Faraday optical probe of atomic spin which performs a weak
measurement of spin projection of a quantum gas continuously for more than one second …