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Article Dans Une Revue Phys.Rev.A Année : 2017

Casimir-Polder shifts on quantum levitation states

Résumé

An ultracold atom above a horizontal mirror experiences quantum reflection from the attractive Casimir-Polder interaction, which holds it against gravity and leads to quantum levitation states. We analyze this system by using a Liouville transformation of the Schrödinger equation and a Langer coordinate adapted to problems with a classical turning point. Reflection on the Casimir-Polder attractive well is replaced by reflection on a repulsive wall, and the problem is then viewed as an ultracold atom trapped inside a cavity with gravity and Casimir-Polder potentials acting, respectively, as top and bottom mirrors. We calculate numerically Casimir-Polder shifts of the energies of the cavity resonances and propose an approximate treatment which is precise enough to discuss spectroscopy experiments aimed at tests of the weak-equivalence principle on antihydrogen. We also discuss the lifetimes by calculating complex energies associated with cavity resonances.

Dates et versions

hal-01554413 , version 1 (03-07-2017)

Identifiants

Citer

P.P. Crépin, G. Dufour, R. Guérout, A. Lambrecht, S. Reynaud. Casimir-Polder shifts on quantum levitation states. Phys.Rev.A, 2017, 95 (3), pp.032501. ⟨10.1103/PhysRevA.95.032501⟩. ⟨hal-01554413⟩
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