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Physical Review A

Guiding Rydberg atoms above surface-based transmission lines

P. Lancuba, S. D. Hogan

Published Oct 25, 2013• 26 citations
Publisher

Abstract

Beams of helium atoms in selected Rydberg-Stark states with principal quantum number $n=52$ and electric dipole moments as large as 9910 D have been guided and deflected in the electrostatic fields surrounding surface-based electrical transmission lines. The guided atoms were detected by pulsed-electric-field ionization. Information on their position at the time of ionization was obtained from the flight time of the resulting ions to a microchannel plate detector. Comparison of the experimentally recorded data with the results of numerical calculations of particle trajectories through the guide highlight the sensitivity of the guided signal to the interaction of the atoms with each other and the surrounding 300 K blackbody radiation field.

DOI
10.1103/physreva.88.043427

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Beams of helium atoms in selected Rydberg-Stark states with principal quantum number n=52n=52n=52 and electric dipole moments as large as 9910 D have been guided and deflected in the electrostatic fields surrounding surface-based electrical transmission lines. The guided atoms were detected by pulsed-electric-field ionization. Information on their position at the time of ionization was obtained from the flight time of the resulting ions to a microchannel plate detector. Comparison of the experimentally recorded data with the results of numerical calculations of particle trajectories through the guide highlight the sensitivity of the guided signal to the interaction of the atoms with each other and the surrounding 300 K blackbody radiation field.
The experimental realisation of a set of surface-based devices for controlling the positions and velocities of Rydberg atoms initially travelling in pulsed supersonic beams is described. The unique aspect of these devices is that they are based on the geometry of two-dimensional electrical transmission-lines and are therefore suited to integration with chip-based microwave circuits to realise a complete Rydberg laboratory on a chip. Such a chip-based laboratory could be exploited in hybrid approaches to quantum information processing, and for studies of collisions and decay processes of highly excited atoms and molecules. The devices operate through the generation of inhomogeneous electric fields and take advantage of the large electric dipole moments associated with high Rydberg states to exert forces on the atoms. In the experiments, helium atoms in Rydberg-Stark states with principal quantum numbers ranging from 48 to 52 and electric dipole moments of 10000 D are employed. The devices developed include electrostatic guides which permitted control over the transverse motion of beams of atoms. These were used to transport samples, initially travelling at 1950 m/s and deflect them away from their initial axis of propagation. The guided atoms were detected by pulsed electric field ionisation. To control the longitudinal motion of the samples, the transmission-lines were modified to permit the generation of sets of continuously moving electric traps. The resulting transmission-line decelerators were then employed to guide, accelerate and decelerate atoms trapped in three-dimensions. Accelerations up to 2.3 x 10^{7} m/s^{2} were applied to decelerate samples from 2000 m/s to zero-velocity in the laboratory-fixed frame of reference, leading to the removal of 80 meV of kinetic energy, the largest achieved in any Stark decelerator to date. The decelerated atoms were trapped in stationary electric traps and detected in situ. The phase-space acceptances of the decelerators were calculated to characterise the effects of acceleration and deceleration on the trapped atoms. The results of the calculations were employed in the interpretation of the experimental data, and to identify effects of collisions and blackbody transitions.
Abstract Beams of helium atoms in Rydberg–Stark states with principal quantum number n = 48 and electric dipole moments of 4600 D have been decelerated from a mean initial longitudinal speed of 2000 m s −1 to zero velocity in the laboratory-fixed frame-of-reference in the continuously moving electric traps of a transmission-line decelerator. In this process accelerations up to m s −2 were applied, and changes in kinetic energy of J ( meV) per atom were achieved. Guided and decelerated atoms, and those confined in stationary electrostatic traps, were detected in situ by pulsed electric field ionisation. The results of numerical calculations of particle trajectories within the decelerator have been used to characterise the observed deceleration efficiencies, and aid in the interpretation of the experimental data.
Pulsed supersonic beams of helium atoms in the high-field-seeking 52p52p52p Rydberg state have been guided while following helical trajectories in the electrostatic field of a charged wire suspended along the axis of a grounded cylindrical metallic tube. The operation of this electrostatic wire guide for samples in high-field-seeking Rydberg-Stark states has been investigated with dc and pulsed electric potentials applied to the wire while the guided atoms were detected by pulsed electric-field ionization. The acceptance of the guide has been determined through numerical particle trajectory simulations.
Beams of helium atoms in Rydberg states with principal quantum number n=52n=52n=52, and traveling with an initial speed of 1950 m/s, have been accelerated, decelerated, and guided while confined in moving electric traps generated above a curved, surface-based electrical transmission line with a segmented center conductor. Experiments have been performed with atoms guided at constant speed, and with accelerations exceeding 107{10}^{7}107 m/s2\mathrm{m}/\mathrm{s}{}^{2}m/s2. In each case, the manipulated atoms were detected by spatially resolved, pulsed electric field ionization. The effects of tangential and centripetal accelerations on the effective trapping potentials experienced by the atoms in the decelerator have been studied, with the resulting observations highlighting contributions from the density of excited Rydberg atoms to the acceleration, deceleration, and guiding efficiencies in the experiments.
Dipole-dipole interactions between helium atoms in Rydberg-Stark states with principal quantum number n=53n=53n=53 and approximately linear Stark energy shifts, resulting from induced electric dipole moments of approximately 7900 D, have been investigated experimentally. The experiments were performed in pulsed supersonic metastable helium beams, with particle number densities of up to $\ensuremath{\sim}{10}^{9}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{\ensuremath{-}3}$. In the presence of amplitude-modulated, radio-frequency electric fields, changes in the spectral intensity distributions associated with the transitions to these states that are attributed to dipole-dipole interactions within the ensembles of excited atoms have been observed. The experimental results are in excellent agreement with calculations of the Rydberg energy level structure carried out using Floquet methods, and excitations shared by up to four atoms. The use of these Rydberg-Stark states as sensors for nonresonant broadband radio-frequency electrical noise is also discussed.
The controlled deflection of Rydberg atoms in an inhomogeneous electric field is demonstrated and shown to be in agreement with predictions based on a well-defined Stark map. Krypton atoms in a supersonic beam are excited in a two-colour multiphoton process to selected Stark states with n = 16-19 and undergo deflections in the field of an electrostatic dipole. The spatial distribution of the deflected atoms is monitored by ion imaging. The atoms travelling ~10 cm in the beam direction after excitation are deflected from the beam axis by distances of up to 3 mm, the interaction with the field taking place over 40 µs. Simulations of the trajectories agree well with the experimental results, demonstrating that the detected Rydberg atoms are those which have not undergone decay processes in the 40 µs applied field.