Dynamically controlled toroidal and ring-shaped magnetic traps

Abstract

We present traps with toroidal (T 2 ) and ring-shaped topologies, based on adiabatic potentials for radio-frequency dressed Zeeman states in a ring-shaped magnetic quadrupole field. Simple adjustment of the radio-frequency fields provides versatile possibilities for dynamical parameter tuning, topology change, and controlled potential perturbation. We show how to induce toroidal and poloidal rotations, and demonstrate the feasibility of preparing degenerate quantum gases with reduced dimensionality and periodic boundary conditions. The great level of dynamical and even state dependent control is useful for atom interferometry.

Coherent adiabatic transport of atoms in radio-frequency traps

“…They not only allow us to create standard trapping potentials [12] but can also be used to coherently manipulate matter waves [13,14] or create complicated, nonstandard trapping geometries [15][16][17].…”

Dynamics of quantum vortices in a quasi-two-dimensional Bose–Einstein condensate with two “holes”

“…One can imagine the situation where the threedimensional trap potential forms a narrow curved "canyon", so that the Bose-Einstein condensate at equilibrium is not (inhomogeneously) planar, as was assumed so far, but forms a relatively narrow layer near some curved surface in the three-dimensional space [15][16][17]. In particular, ellipsoidal shells were prepared in the experiment reported in [18].…”

“…In addition, the theory will be generalized to the case of a quasi-two-dimensional Bose-Einstein condensate which is not flat but is situated on a curved surface in the three-dimensional space (e.g., on a sphere, ellipsoid, or toroid [15][16][17][18]). An analog of this situation in classical hydrodynamics is the motion of vortices in an ocean of variable depth on a spherical planet.…”

Towards rotation sensing with a single atomic clock

“…We recently discussed such a scheme that uses magnetically trappable clock states, which can be found in the hyperfine ground state manifolds of alkali atoms 9,10 . The interferometric sequence is depicted in Fig.…”