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

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

2004-03-18

arxiv.org/abs/cond-mat/0403466v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 4 figures

Scientific paper

10.1103/PhysRevA.70.053603

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.

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