Altvater, C. (2022). Numerical simulation of radio-frequency dressed potentials for Caesium atoms [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2022.99440
atom trapping; Bose-Einstein condensation; dressed adiabatic potentials
en
Abstract:
This thesis provides a numerical simulation of radio-frequency (RF) dressed potentials of Caesium atoms and the control software of a Tabor WW5062 dual-channel waveform generator. For the first part, an effective magnetic field is calculated from a combined static and oscillating field. The Biot-Savart law yields the static field and the RF field amplitudes. By applying unitary transformations in form of rotation matrices and the rotating wave approximation (RWA), the Hamiltonian can be simplified and solved for the potential energy states. The validity conditions of the RWA are checked and visually illustrated. The results of the potential calculation can be displayed in 3D, 2D and 1D (along axes through the minimum).
