Dynamic stability of the time-averaged orbiting potential trap: Exact classical analysis

Gov, S.; Shtrikman, S.

doi:10.1063/1.371038

Cited by 6 publications

(14 citation statements)

References 6 publications

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“…We have solved numerically the coupled differential equations of [10] for the center-of-mass motion and atomic spin within our TOP trap field, including gravity. The numerical simulations provided an excellent fit for the results of Fig.…”

Section: (Received 30 May 2000)mentioning

confidence: 99%

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Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

et al. 2000

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Nonadiabatic motion of Bose-Einstein condensates of rubidium atoms arising from the dynamical nature of a time-orbiting-potential (TOP) trap was observed experimentally. The orbital micromotion of the condensate in velocity space at the frequency of the rotating bias field of the TOP was detected by a time-of-flight method. A dependence of the equilibrium position of the atoms on the sense of rotation of the bias field was observed. We have compared our experimental findings with numerical simulations. The nonadiabatic following of the atomic spin in the trap rotating magnetic field produces geometric forces acting on the trapped atoms.

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Section: (Received 30 May 2000)mentioning

confidence: 99%

“…[9,10]. For the special case of a cylindrical TOP trap this transformation completely removes the time dependence.…”

Section: (Received 30 May 2000)mentioning

confidence: 99%

Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

et al. 2000

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“…In these traps, the atoms are first collected by means of laser forces in a limited region of the space where such inhomogeneous magnetic field plays its active role, and, afterwards, cooled down by an evaporative mechanism so as to make the transition to a Bose-Einstein condensate possible. So far the physics of the confinement by magnetic field has been explained mainly by means of a set of equations in which the particle is seen as a classical point-like magnetic dipole that obeys to the classical equations of motion [2]. Some quantum mechanical calculations exists for the more simple configuration without the rotating bias field [15].…”

Section: Atomic Motion In a Magnetic Trapmentioning

confidence: 99%

Dynamics of atoms in a time-orbiting-potential trap: consequences of the classical description

Zambon¹,

Franzosi²

2010

J. Phys. B: At. Mol. Opt. Phys.

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The classical model that describes the motion of an atom in a magnetic trap is solved in order to investigate the relationship between the failure of the usual adiabatic approximation assumption and the physical parameters of the trap. This allows to evaluate the effect that reversing of the bias field rotation produces on the vertical position of the atomic orbit, a displacement that is closely related to the adiabatic character of the trap motion. The present investigation has been motivated by a similar experimental test previously carried out in the actual magnetic time orbiting potential trap. We find that the non-adiabatic effects provided by the classical model are extremely small. Thus, we conclude that the theoretical explanation of the experimental measures, requires a quantum description of the dynamics in magnetic traps.

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“…Thus, by introducing the structure Ψ(x, t) of Eq. (20) for the atomic wave function we find the Schrödinger Eq. (22).…”

Section: Acknowledgmentsmentioning

confidence: 99%

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

2004

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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 quantummechanical ground state configuration matching the classical adiabatic solution and perform some numerical simulations.

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Dynamic stability of the time-averaged orbiting potential trap: Exact classical analysis

Cited by 6 publications

References 6 publications

Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

Dynamics of atoms in a time-orbiting-potential trap: consequences of the classical description

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

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