Universal non-monotonic structure in the saturation curves of MOT-loaded Na${}^{+}$ ions stored in an ion-neutral hybrid trap: Prediction and observation

Abstract

We predict that the steady-state ion number $N_s$ for radio-frequency (rf) traps, loaded at a rate of $\lambda$ particles per unit time, shows universal non-monotonic behavior as a function of loading rate $\lambda$. The shape of $N_s(\lambda )$, characterized by four dynamical regions, is universal in the sense that it is predicted to manifest itself in all rf traps independently of the details of their construction. For $\lambda \ll$ 1 particles / rf cycle (Region I), as expected, $N_s(\lambda )$ increases monotonically with $\lambda$. However, contrary to intuition, at intermediate $\lambda \sim 1$ particles / rf cycle (Region II), $N_s(\lambda )$ reaches a maximum, followed by a minimum of $N_s(\lambda )$ (Region III). For $\lambda \gg 1$ particles / rf cycle (Region IV), $N_s(\lambda )$ again rises monotonically. In Region IV numerical simulations, analytical calculations, and experiments show $N_s(\lambda )\sim {\lambda }^{2/3}$. We confirm this prediction experimentally with MOT-loaded Na${}^{+}$ ions stored in a hybrid ion-neutral trap.

arXiv comment10 pages, 4 figures

References in corpus (6)

• Observation of Cold Collisions between Trapped Ions and Trapped Atoms
• Sympathetic and swap cooling of trapped ions by cold atoms in a MOT
• Measurement of collisions between rubidium atoms and optically dark rubidium ions
• Ion-neutral sympathetic cooling in a hybrid linear rf Paul and magneto-optical trap
• Trapping molecular ions formed via photo-associative ionization of ultracold atoms
• Measurement of low-energy Na^+ -- Na total collision rate in an ion--neutral hybrid trap

Cited by in corpus (2)

• Cold hybrid ion-atom systems
• Loading a linear Paul trap to saturation from a magneto-optical trap