Ultracold Rydberg Atoms in a Ioffe-Pritchard Trap : Creating One-Dimensional Rydberg Gases and Exploiting their Composite Character

Source: OAI


Subject of this thesis is the theoretical study of the quantum properties of ultracold Rydberg atoms in the presence of inhomogeneous external fields. Using the Ioffe-Pritchard configuration as a key ingredient superimposed by a homogeneous electric field, we demonstrate that trapped Rydberg atoms can be created in long-lived circular states exhibiting a permanent electric dipole moment of several hundred Debye. The resulting dipole-dipole interaction in conjunction with the radial confinement is demonstrated to entail an effectively one-dimensional Rydberg gas with a macroscopic interparticle distance. Turning our investigations to the low angular momentum electronic states, we demonstrate that the two-body character of Rydberg atoms significantly alters their trapping properties opposed to point-like particles with identical magnetic moment. Analytical expressions describing the resulting trapping potentials are derived and their validity is confirmed by comparison with the numerical solutions of the underlying Schrödinger equation. The center of mass dynamics are studied by means of an adiabatic approach and implications for quantum information protocols involving magnetically trapped Rydberg atoms are discussed. We conclude by demonstrating how the specific signatures of the Rydberg trapping potential can be probed by means of ground state atoms that are off-resonantly coupled to the Rydberg state via a two-photon laser transition.