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原子与分子物理学报

Quantum states of neutral atoms boundin the magnetic field of a Kepler-guide

Heming, WANGJin, ZHANMing-sheng

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

The spectrum and the wave function of neutral atoms in the magnetic field of a Kepler-guide are presented by reducing a two-dimensional stationary Schrdinger equation to a one-dimensional hydrogen atom in Rydberg states. In addition, we set the scale for the atomic orbits and binding energy i n the quantum regime, and compare it with the outcome of the experiment. At the same time, we find that reducing the current and radius of the wire properly wil l increase the loading efficiency of the Kepler-guide.

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The spectrum and the wave function of neutral atoms in the magnetic field of a Kepler-guide are presented by reducing a two-dimensional stationary Schrdinger equation to a one-dimensional hydrogen atom in Rydberg states. In addition, we set the scale for the atomic orbits and binding energy i n the quantum regime, and compare it with the outcome of the experiment. At the same time, we find that reducing the current and radius of the wire properly wil l increase the loading efficiency of the Kepler-guide.
We consider the quantized motion of neutral atoms at very low temperature in a two-dimensional magnetic quadrupole structure formed, for example, by four current-carrying wires along the z direction. The magnetic field B\mathbf{B}B in the guide is proportional to the vector $(x,\ensuremath{-}y).$ We show that this field can be used to make a single-mode atomic de Broglie waveguide which has bound states of low angular momentum, even though the field at the center of the guide goes to zero. We investigate the spectrum and decay rate of the transverse modes for spin-1/2 and spin-1 atoms.
The energy spectrum of a neutral atom bound in the magnetic field created by a straight line direct current is given by the Rydberg formula for particles with spin less than 3/2. An adiabatic representation leads to a natural understanding of this spectrum and provides a good approximation to the bound state energy levels. A more accurate finite element method is applied to directly solve the time-independent Schr\"odinger equation for neutral particles with arbitrary spin. A combination of the finite element method with multichannel quantum defect theory provides a more efficient method to calculate the bound state energies. In addition, new spectral features arise for particles with spin greater than 1. \textcopyright{} 1996 The American Physical Society.
We suggest the binding of neutral atoms to a current carrying wire through the interaction between the atomic magnetic dipole moment and the wire's magnetic field. The theoretical description is based upon an extension of the concept of supersymmetry to multicomponent wave functions. A solution for spin 12\frac{1}{2}21​ particles is obtained directly in coordinate space. Spin 1 particles are considered as well. Experimentally, the system should be immediately realizable for 25 mK sodium atoms around a wire with a diameter of $0.5\ensuremath{\mu}\mathrm{m}$ and a current of 400 mA.