Nonadiabatic effects in the dynamics of atoms confined in a cylindric time-orbiting-potential magnetic trap

Abstract

In a time-orbiting-potential magnetic trap the neutral atoms are confined by means of an inhomogeneous magnetic field superimposed to an uniform rotating one. We perform an analytic study of the atomic motion by taking into account the nonadiabatic effects arising from the spin dynamics about the local magnetic field. Geometric-like magnetic-fields determined by the Berry's phase appear within the quantum description. The application of a variational procedure on the original quantum equation leads to a set of dynamical evolution equations for the quantum average value of the position operator and of the spin variables. Within this approximation we derive the quantum-mechanical ground state configuration matching the classical adiabatic solution and perform some numerical simulations.

arXiv comment12 pages, 4 figures

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Cited by in corpus (6)

• Magnetically generated spin-orbit coupling for ultracold atoms
• Manipulation of quantum particles in rapidly oscillating potentials by inducing phase hops
• Manipulation of a Bose-Einstein condensate by a time-averaged orbiting potential using phase jumps of the rotating field
• Solitary-wave description of condensate micro-motion in a time-averaged orbiting potential trap
• Stability analysis of a magnetic waveguide with self-generated offset field
• Dynamics of atoms in a time-orbiting-potential trap: consequences of the classical description