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Journal of Physics B Atomic Molecular and Optical Physics

Rydberg decelerator using a travelling electric-field gradient

Nicolas Vanhaecke, D. Comparat, P. Pillet

Published Jan 6, 2005• 19 citations
Publisher

Abstract

We propose a novel Stark decelerator for atoms or molecules excited in Rydberg states, in which the electric field continuously follows the motion of particles. Using moderate m Rydberg states ( m > 2) in low-field seeker Stark levels, the evolution in the decelerator field should be hydrogen-like. Furthermore, the electric field seen by the particles is roughly constant; this greatly reduces the losses due to electric field induced transitions. We show that this decelerator fulfils the requirement of phase-space stability, since it is equivalent to a smoothly travelling well. This kind of decelerator should provide a new tool to obtain cold molecules, and is applicable to a very large range of molecules. Numerical simulation shows that within times compatible with Rydberg lifetimes, a cloud of sodium atoms can be stopped in the laboratory frame from a supersonic beam.

DOI
10.1088/0953-4075/38/2/031

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Journal of Physics B Atomic Molecular and Optical Physics•May 2, 2006•52 citations
We propose a novel Stark decelerator for atoms or molecules excited in Rydberg states, in which the electric field continuously follows the motion of particles. Using moderate m Rydberg states ( m > 2) in low-field seeker Stark levels, the evolution in the decelerator field should be hydrogen-like. Furthermore, the electric field seen by the particles is roughly constant; this greatly reduces the losses due to electric field induced transitions. We show that this decelerator fulfils the requirement of phase-space stability, since it is equivalent to a smoothly travelling well. This kind of decelerator should provide a new tool to obtain cold molecules, and is applicable to a very large range of molecules. Numerical simulation shows that within times compatible with Rydberg lifetimes, a cloud of sodium atoms can be stopped in the laboratory frame from a supersonic beam.
This thesis describes contributions to the development of a new method to control the translational motion of atoms and molecules in supersonic beams.This method, Rydberg-Stark deceleration, is in principle applicable to all atoms and molecules in the gas phase.It relies on the Stark effect exhibited by Rydberg states and enables the production of samples of translationally and internally cold atoms and molecules which have possible applications in high-resolution spectroscopic experiments, in the studies of collisions at low temperatures and in quantum information science.This method has been developed and tested in deceleration and trapping experiments on hydrogen and deuterium atoms, and hydrogen molecules initially moving in supersonic beams.Its power originates from the large dipole moments, easily exceeding 1000 Debye, induced in Rydberg states by electric fields.Large forces are exerted on Rydberg atoms and molecules
A surface-electrode decelerator and deflector for Rydberg atoms and molecules has been developed with the goal of performing collisional experiments. Translationally cold H2{\mathrm{H}}_{2}H2​ molecules in a supersonic beam were excited to Rydberg-Stark states of principal quantum number n=31n=31n=31, loaded into electric traps moving at a predetermined speed above the surface of a bent printed circuit board, decelerated, and deflected from the original direction of the supersonic beam by an angle of ${10}^{\ensuremath{\circ}}$. The phase-space characteristics of the deflected beam were characterized by measuring the time-of-flight distribution and images of the Rydberg molecules and comparing them to the results of numerical particle-trajectory simulations. More than 1000 H2{\mathrm{H}}_{2}H2​ molecules were deflected per experimental cycle at a repetition rate of 25 Hz. The phase-space characteristics of the deflector make it attractive to study ion-molecule reactions at low collision energies.
Argon and hydrogen atoms excited to Rydberg Stark states in supersonic expansions have been decelerated using inhomogeneous electric fields. In the case of hydrogen, the atoms have been decelerated from an initial velocity of 700 m/s to zero velocity in the lab frame using time-dependent inhomogeneous electric fields and subsequently stored in two- and three-dimensional traps. The dynamics of the Rydberg atoms in the traps and the phase-space characteristics of the decelerated atoms have been characterized by pulsed field ionization and imaging techniques. Multi-stage Zeeman deceleration of ground state H and D atoms has been demonstrated. Using this technique H atoms, traveling at 420 m/s, have been decelerated to half of their initial kinetic energy. © 2008 World Scientific Publishing Co. Pte. Ltd.
Hydrogen molecules are excited in a molecular beam to Rydberg states around n=17-18 and are exposed to the inhomogeneous electric field of an electric dipole. The large dipole moment produced in the selected Stark eigenstates leads to strong forces on the H2 molecules in the inhomogeneous electric field. The trajectories of the molecules are monitored using ion-imaging and time of flight measurements. With the dipole rods mounted parallel to the beam direction, the high-field-seeking and low-field-seeking Stark states are deflected towards and away from the dipole, respectively. The magnitude of the deflection is measured as a function of the parabolic quantum number k and of the duration of the applied field. It is also shown that a large deflection is observed when populating the (17d2)1 state at zero field and switching the dipole field on after a delay. With the dipole mounted perpendicular to the beam direction, the molecules are either accelerated or decelerated as they move towards the dipole. The Rydberg states are found to survive for over 100 micros after the dipole field is switched off before being ionized at the detector and the time of flight is measured. A greater percentage change in kinetic energy is achieved by initial seeding of the beam in helium or neon followed by inhomogeneous field deceleration/acceleration. Molecular dynamics trajectory simulations are presented highlighting the extent to which the trajectories can be predicted based on the known Stark map. The spectroscopy of the populated states is discussed in detail and it is established that the N+=2, J=1, MJ=0 states populated here have a special stability with respect to decay by predissociation.
The interaction between inhomogeneous electric fields and the large electric dipole moments of atoms and molecules in Rydberg states of high principal quantum number can be used to efficiently accelerate and decelerate atoms and molecules in the gas phase. We describe here how hydrogen atoms and molecules initially moving with velocities of ∼600 m/s in supersonic beams can be decelerated to zero velocity and loaded into electric traps. The long observation times that are made possible by the electrostatic trapping enables one to study slow relaxation processes. Experiments are presented in which we have observed photoionization processes and transitions between Rydberg states induced by blackbody radiation at temperatures between 10 K and 300 K on a time scale of several milliseconds. Comparison of these processes in Rydberg states of H and H(2) suggests the importance, in H(2), of collisional processes and of the process of blackbody-radiation-induced predissociation.
Hydrogen atoms in a cold supersonic expansion with an average velocity of 700 m s −1 have been excited to Rydberg Stark states with principal quantum number in the range n = 20–25 and subsequently decelerated and accelerated in time-independent inhomogeneous electric fields. Accelerations of up to 2 × 10 8 m s −2 have been achieved and the initial kinetic energy of atoms prepared in low (high)-field seeking Stark states could be more than quadrupled (halved) over a flight distance of only 3 mm and in a time of less than 5 µs. The control over the velocity of the Rydberg atoms is such that trapping can be envisaged.