Abstract
We study the hyperfine spectrum of atoms of $^{87}$Rb dressed by a radio-frequency field, and present experimental results in three different situations: freely falling atoms, atoms trapped in an optical dipole trap and atoms in an adiabatic radio-frequency dressed shell trap. In all cases, we observe several resonant side bands spaced (in frequency) at intervals equal to the dressing frequency, corresponding to transitions enabled by the dressing field. We theoretically explain the main features of the microwave spectrum, using a semi-classical model in the low field limit and the Rotating Wave Approximation for alkali-like species in general and $^{87}$Rb atoms in particular. As a proof of concept, we demonstrate how the spectral signal of a dressed atomic ensemble enables an accurate determination of the dressing configuration and the probing microwave field.
Highlights
The recent developments from the precise control of cold atoms [1,2,3,4] have paved the way to many breakthrough experimental and theoretical results [5,6]
By combining magnetic fields at different frequencies from DC to RF and MW, one can create highly nontrivial potential landscapes. These can have complex geometries that are robust against low-frequency environmental noise [10,16] and can be transformed and manipulated adiabatically [14,17]. This provides a versatile platform to investigate the physics of nontrivial topologies, e.g., shell potentials [18], multiple nested shell potentials [19], toroidal surfaces [20], and ring-shaped structures [9,20,21,22,23]
IV), we provide a general outlook of our findings and comment on future applications
Summary
The recent developments from the precise control of cold atoms [1,2,3,4] have paved the way to many breakthrough experimental and theoretical results [5,6]. The radio-frequency field BRF(t ) oscillates at a frequency on the order of the Zeeman splitting ωRF ∼ |gF |μBBDC/h, which is typically in the range of 10s kHz to 10s MHz. It is convenient to represent the corresponding atom-field interaction term in the basis of total angular momentum |F, mF. The microwave-field BMW(t ) oscillates at a frequency on the order of the hyperfine splitting: ωMW ∼ |EI+J − E|I−J||/h, which, for alkali atoms, ranges between 0.2 and 44 GHz [30,31] In this case, the couplings between blocks of states defined by the hyperfine coupling are resonant, and the MW field leads to transitions between states belonging to different hyperfine manifolds such that |F − F | = 1. We describe how the rotating-wave approximation (RWA) leads to an approximate description of the internal dynamics of alkali atoms subjected to this bichromatic field
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
