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Wave packet dynamics of an atomic ion in a Paul trap: Approximations and stability
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0003-3096-1972
Umeå University, Faculty of Science and Technology, Department of Physics. Jazan Univ, Dept Phys, Jazan, Saudi Arabia.
2016 (English)In: International Journal of Modern Physics C, ISSN 0129-1831, Vol. 27, no 2, 1650014Article in journal (Refereed) Published
Abstract [en]

Using numerical simulations of the time-dependent Schrödinger equation, we study the fullquantum dynamics of the motion of an atomic ion in a linear Paul trap. Such a trap is based on atime-varying, periodic electric ̄eld and hence corresponds to a time-dependent potential for theion, which we model exactly. We compare the center-of-mass motion with that obtained fromclassical equations of motion, as well as to results based on a time-independent e®ective po-tential. We also study the oscillations of the width of the ion's wave packet, including close tothe border between stable (bounded) and unstable (unbounded) trajectories. Our results con- ̄rm that the center-of-mass motion always follows the classical trajectory, that the width of thewave packet is bounded for trapping within the stability region, and therefore that the classicaltrapping criterion is fully applicable to quantum motion.

Place, publisher, year, edition, pages
2016. Vol. 27, no 2, 1650014
Keyword [en]
Paul trap, atomic ion, wave packet, time-dependent Schrödinger equation, stability
National Category
Atom and Molecular Physics and Optics
Research subject
Physics
Identifiers
URN: urn:nbn:se:umu:diva-106729DOI: 10.1142/S0129183116500145ISI: 000367402200003OAI: oai:DiVA.org:umu-106729DiVA: diva2:844375
Funder
Swedish National Infrastructure for Computing (SNIC), 2014/1-118
Available from: 2015-08-05 Created: 2015-08-05 Last updated: 2017-12-04Bibliographically approved
In thesis
1. Numerical simulation of the dynamics of a trapped molecular ion
Open this publication in new window or tab >>Numerical simulation of the dynamics of a trapped molecular ion
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis explores the dynamics of a heteronuclear diatomic molecular ion, possessing a permanent electric dipole moment, µ, which is trapped in a linear Paul trap and can interact with an off-resonance laser field. To build our model we use the rigid-rotor approximation, where the dynamics of the molecular ion are limited to its translational and rotational motions of the center-of-mass. These dynamics are investigated by carrying out suitable numerical calculations.

To introduce our numerical methods, we divide our research topic into two different subjects. First, we ignore the rotational dynamics of the ion by assuming µ = 0. By this assumption, the system resembles an atomic ion, which mainly exhibits translational motion for its center of the mass when exposed to an external trapping field. To study this translational behavior, we implement full-quantum numerical simulations, in which a wave function is attributed to the ion. Finally, we study the quantum dynamics of the mentioned wave packet and we compare our results with those obtained classically.

In the latter case, we keep the permanent dipole moment of the ion and we study the probable effects of the interaction between the dipole moment and the trapping electric field, on both the translational and the rotational dynamics of the trapped molecular ion. In order to study these dynamics, we implement both classical and semi-classical numerical simulations. In the classical method, the rotational and the translational motions of the center of mass of the ion are obtained via classical equations of motion. On the other hand, in the semi-classical method, while the translational motion of the center-of-mass is still obtained classically, the rotation is treated full-quantum mechanically by considering the rotational wave function of the ion. In the semi-classical approach, we mainly study the probable couplings between the rotational states of the molecular ion, due to the interaction of the permanent dipole moment with the trapping electric field. In the end, we also present a semi-classical model, where the trapped molecular ion interacts with an off-resonance laser field.

Place, publisher, year, edition, pages
Umeå: Umeå universitet, 2016. 72 p.
Keyword
diatomic molecular ion, linear Paul trap, rigid rotor, quantum rotational dynamics, wave-packet dynamics, time-dependent Schrödinger equation, stability
National Category
Atom and Molecular Physics and Optics
Identifiers
urn:nbn:se:umu:diva-118899 (URN)978-91-7601-448-6 (ISBN)
Public defence
2016-04-28, N420, Naturvetarhuset, Umeå University, Umeå, 13:00 (English)
Opponent
Supervisors
Available from: 2016-04-07 Created: 2016-04-06 Last updated: 2016-04-20Bibliographically approved

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Hashemloo, AvazehDion, Claude

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