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Physical Review A

Atoms in strong crossed electric and magnetic fields: Evidence for states with large electric-dipole moments

Georg A. Raithel, M. Fauth, HERBERT WALTHER

Published Jan 1, 1993• 66 citations
Publisher

Abstract

This paper reports on the evidence for large permanent electric-dipole moments of Rydberg atoms in crossed electric and magnetic fields. It was found that the dipole moments have a large value if the scaled electric-field strength \ensuremath{\epsilon}=${\mathit{EB}}^{\mathrm{\ensuremath{-}}4/3}$ has the value \ensuremath{\epsilon}\ensuremath{\approxeq}0.75 (with electric- and magnetic-field strengths E and B in atomic units). The experimental technique employed to determine the atomic dipole moment was to add a slight inhomogeneity to the electric field and to measure the deflection of the atoms, this deflection being proportional to the field inhomogeneity and the atomic dipole moment. In order to discuss the experimental results, different theoretical approaches to the E\ifmmode\times\else\texttimes\fi{}B problem are reviewed. The occurrence of Rydberg atoms with large dipole moments can be explained as being caused by a distinct type of classical orbit.

DOI
10.1103/physreva.47.419

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This paper reports on the evidence for large permanent electric-dipole moments of Rydberg atoms in crossed electric and magnetic fields. It was found that the dipole moments have a large value if the scaled electric-field strength \ensuremath{\epsilon}=EB\ensuremath−4/3{\mathit{EB}}^{\mathrm{\ensuremath{-}}4/3}EB\ensuremath−4/3 has the value \ensuremath{\epsilon}\ensuremath{\approxeq}0.75 (with electric- and magnetic-field strengths E and B in atomic units). The experimental technique employed to determine the atomic dipole moment was to add a slight inhomogeneity to the electric field and to measure the deflection of the atoms, this deflection being proportional to the field inhomogeneity and the atomic dipole moment. In order to discuss the experimental results, different theoretical approaches to the E\ifmmode\times\else\texttimes\fi{}B problem are reviewed. The occurrence of Rydberg atoms with large dipole moments can be explained as being caused by a distinct type of classical orbit.
High angular momentum Rydberg states of atoms in strong magnetic fields or in strong magnetic and weak crossed electric fields correspond to classical regular drift trajectories around the positive ion core. The motion can be adiabatically separated in a fast cyclotron motion, an oscillation in magnetic field direction, and a slow drift motion. Some of the drift trajectories display huge electric-dipole moments induced by the weak electric field. Corresponding atomic drift states with large electric dipole moments are theoretically predicted. In the experiment drift states are excited by an optical one-photon transition. The excitation of drift-state atoms is very efficient in the vicinity of anti-crossings between Rydberg states with large photoexcitation cross section and drift states. The drift-state atoms are separated from other Rydberg atoms via electric-dipole deflection in an inhomogeneous electric field. The size of the observed dipole moments agrees quite well with theoretical values.
We study the spectra of diamagnetic rubidium Rydberg atoms in strong magnetic and weak electric parallel fields, in the nnn-mixing regime. Our emphasis is on isolated pairs of near-degenerate, opposite-parity, diamagnetic states that become mixed by the weak electric field. Such level pairs allow for the generation of nondegenerate states with large, tunable permanent electric dipole moments and large optical excitation cross sections from the atomic ground state. We investigate how the dipole moments and the zero-electric-field energy defects of these level pairs can be tuned using small variations of the electric and magnetic fields. Using calculations, we explore the abundance of such level pairs over wide spectral regions for several magnetic quantum numbers. Applications of polar, diamagnetic Rydberg states in Rydberg-atom interaction experiments are briefly discussed.
This paper reports on the investigation of excitation spectra of rubidium Rydberg atoms in crossed electric and magnetic fields. The quasi-Landau spectra were evaluated and their Fourier transforms calculated. The scaled spectral scans used for this purpose were obtained by changing the electric and magnetic fields as well as the laser frequency in an appropriate way. The observed resonances could be explained completely by semiclassical orbits. Only orbits showing overlap with the ground-state wave function are observed. The polarization dependence of certain components in the Fourier spectra can be explained by the shape of the semiclassical orbits. The electric dipole moments of the atoms resulting from the shift of the quasi-Landau structures in a changing electric field agree quite well with the corresponding semiclassical orbits.
Abstract Using classical trajectories simulations, we investigate the dynamics of a cold sample of Rydberg atoms with high permanent electric dipole moments. The dipolar state can be created using an adiabatic passage through an avoided crossing between an S-like state and a linear Stark state. The simulations yield the pair-correlation functions (PCF) of the atom samples, which allow us to extract the motion of Rydberg-atom pairs in the many-body system. The results reveal the strength and the anisotropic character of the underlying interaction. The simulation is employed to test the suitability of experimental methods designed to derive interaction parameters from PCF. Insight is obtained about the stability of the method against variation of experimentally relevant parameters. Transient correlations due to interaction-induced heating are observed.
Recently, the diverse properties of Rydberg atoms, which probably arise from its large electric dipole moment (EDM), have been explored. In this paper, we report electric dipole moments along with Stark energies and charge densities of lithium Rydberg states in the presence of electric fields, calculated by matrix diagonalization. Huge electric dipole moments are discovered. In order to check the validity of the EDMs, we also use these electric dipole moments to calculate the Stark energies by numerical integration. The results agree with those calculated by matrix diagonalization.
The pseudoseparation of the center of mass and relative motion of a hydrogen atom in crossed electric and magnetic fields led to a theoretical prediction of highly extended states localized in the outer potential well. These states correspond to an almost macroscopic separation between a proton and an electron, and give rise to giant dipole moments. In the present work we describe a simple, experimentally feasible, scheme for the preparation of a hydrogen atom in a superposition of such states. The preparation scheme is based on a two-step switching on of an external electric field, in the course of which the relative motion is trapped in the outer well. On the basis of classical simulations we suggest the experimental parameters at which trapping is achieved extremely efficiently.