Regular and chaotic dynamics of a neutral atom in a magnetic trap
Departamento de Química, Área de Física Aplicada,
Universidad de La Rioja, 26006
Received in final form: 26 September 2013
Published online: 3 December 2013
In the framework of the nonlinear mechanics, we study the dynamics of a neutral atom confined in a magnetic quadrupolar trap. Owing to the axial symmetry of the system, the z-component of the angular momentum pφ is an integral of motion and, in cylindrical coordinates, the dynamics of the atom is modeled by a two-degree of freedom Hamiltonian. The structure and evolution of the phase space as a function of the energy is explored extensively by means of numerical techniques of continuation of families of periodic orbits and Poincaré surfaces of section.
Key words: Nonlinear Dynamics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013