The stark states at zero energy

В. В. Колосов

Oleg Bucicov, M. Nowak, Sebastian Jung +3 more

We produce SO2 molecules with a centre of mass velocity near zero using a Stark decelerator. Since the initial kinetic energy of the supersonic SO2 molecular beam is high, and the removed kinetic energy per stage is small, 326 deceleration stages are necessary to bring SO2 to a complete standstill, significantly more than in other experiments. We show that in such a decelerator possible loss due to coupling between the motional degrees of freedom must be considered. Experimental results are compared with 3D Monte-Carlo simulations and the quantum state selectivity of the Stark decelerator is demonstrated.

В. В. Колосов

Gao-Jian Zeng

In this paper, we study Stark splitting of a three-level atom in a circularly polarized electromagnetic wave. We calculate energies of splitting levels. Under some special tuning ways and approximation conditions, these energies have simpler forms and display the following general picture of Stark splitting: the levels of a $\ensuremath{\Lambda}$- or V-type atom are split into six sublevels, while that of a $\ensuremath{\Sigma}$-type atom is split into nine sublevels. We discuss also the occupation probabilities of splitting levels; they are dependent on initial condition. Under the same tuning ways and approximation conditions, some of them may become zero. Therefore under different initial conditions, practical pictures of Stark splitting are not the same. For example, if the atom is initially in its state 1, the practical picture of Stark splitting is the following: the levels of a $\ensuremath{\Lambda}$- or V-type atom are split into four sublevels; that of a $\ensuremath{\Sigma}$-type atom is split into six sublevels. If the atom is initially in its state 2, the practical picture of Stark splitting is the following: the levels of a $\ensuremath{\Lambda}$- or V-type atom are split into five sublevels, while that of a $\ensuremath{\Sigma}$-type atom is split into eight sublevels.

Stephen D. Howard, Sanat Kumar Roy

Jiong Li, Qing‐Hu Chen

Abstract The analytically exact solutions to the two-photon Rabi–Stark model are given by using the Bogoliubov operators approach. Transcendental functions responsible for the exact solutions are derived. The zeros of the transcendental functions reproduce completely the regular spectra. The first-order quantum phase transitions are also detected by the pole structure of the derived transcendental functions, similar to the one-photon Rabi–Stark model, different from the two-photon Rabi model where the energy levels for the ground-state and the first excited state do not cross. The spectra collapse characteristics resemble those in two-photon Rabi model. Some low lying levels can split off from the collapse energy, which is different from the one-photon Rabi–Stark model in which all levels collapse.