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Physics Letters A

Bound states of neutrons in the cylindrically symmetric magnetic field of a thin current carrying wire

R. Blümel, Klaus Dietrich

Published Aug 1, 1989• 24 citations
Publisher
DOI
10.1016/0375-9601(89)90146-1

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Journal of the Chinese Chemical Society•Jun 1, 2001•2 citations
The spectrum and the wave functions of neutrons bound in the magnetic field of a thin rectilinear current filament are calculated analytically by solving a fourth-order Hamburger equation. Finite current cross sections are treated numerically: the bound states persist---a necessary prerequisite in view of possible experimental verifications of the theory. Two setups [(i) a superconducting wire and (ii) a Church trap] are proposed for obtaining these states experimentally. Some results on spin-1 magnetic surface states are presented.
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.
Abstract We propose two novel schemes for guiding cold, neutral atoms using static magnetic fields generated by several cylindrical arrays of current‐carrying wires or a few different‐shaped (V‐, or U‐shaped, etc.) current‐carrying conductors, and calculate the corresponding magnetic‐field contours and their trapping potentials. Our study shows that some guiding schemes can be used to form an atomic funnel, or an atomic beam‐splitter, or even construct an atomic interferometer, and some guiding schemes can be used to realize a single‐mode wave guide of ultracold atoms (or coherent matter waves, BEC) under certain conditions. We also propose a few new schemes to microscopically trap neutral atoms by using various planar arrays of current‐carrying wires and calculate the spatial distribution of the magnetic fields. Our research shows that these microtrap arrays can be used to form 1D, 2D or 3D atomic magnetic lattices, and then to prepare 1D, 2D or 3D photonic crystals, even to realize a 1D, 2D or 3D array of magnetically‐trapped BECs or Bose Clusters.