Physical Review Letters

Supersymmetry and the Binding of a Magnetic Atom to a Filamentary Current

Lene Vestergaard Hau, J. A. Golovchenko, Michael M. Burns

Published Apr 17, 1995• 42 citations

Abstract

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 $\frac{1}{2}$ 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.

DOI: 10.1103/physrevlett.74.3138

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Physical Review Letters

Supersymmetry and the Binding of a Magnetic Atom to a Filamentary Current

Lene Vestergaard Hau, J. A. Golovchenko, Michael M. Burns

Published Apr 17, 1995• 42 citations

Publisher

Abstract

\frac{1}{2}

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.

DOI: 10.1103/physrevlett.74.3138

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Kirstine Berg‐Sørensen, Michael M. Burns, J. A. Golovchenko +1 more

We consider a waveguide for cold neutral atoms with a magnetic moment proportional to their spin angular momentum. The waveguide consists of a thin wire carrying a constant current. For the spin-1 case, we find bound states for the two-dimensional part of the motion around the wire, and present numerical and approximate analytic results for these bound states. In an experiment, the bound states can decay due to various effects, and we calculate the time scales involved. \textcopyright{} 1996 The American Physical Society.We consider a waveguide for cold neutral atoms with a magnetic moment proportional to their spin angular momentum. The waveguide consists of a thin wire carrying a constant current. For the spin-1 case, we find bound states for the two-dimensional part of the motion around the wire, and present numerical and approximate analytic results for these bound states. In an experiment, the bound states can decay due to various effects, and we calculate the time scales involved. \textcopyright{} 1996 The American Physical Society.

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\frac{1}{2}

0.5\ensuremath{\mu}\mathrm{m}

and a current of 400 mA.

{1/r}^{2}

potential arises between the atom and the end of the wire with magnetization parallel to the wire, the two-dimensional $1/\ensuremath{\rho}$ potential arises when magnetization of the wire is parallel to the wire, and the magnitude of magnetization changes linearly along the wire. We also discuss the possibility of experimental realization of binding of sodium atoms to the ferromagnetic iron wire.

\mathbf{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.