Dynamics of a Rydberg hydrogen atom near a topologically insulating surface

Martín-Ruiz, A.; Chan-López, E.

doi:10.1209/0295-5075/119/53001

Cited by 11 publications

(11 citation statements)

References 33 publications

(47 reference statements)

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“…This is consistent with previous calculations which show that Casimir forces can be repulsive if they involve magnetic moments couplings [56,57]. In a similar fashion, it was recently shown that the dynamical properties of the atomic electron can be tuned with the TMEP θ [58]. For the TI TlBiSe 2 we obtain V CPmax = 4.2 Hz, which is 10 −2 smaller than the theoretical uncertainty in the splitting of the 2P 3/2 line.…”

Section: Discussionsupporting

confidence: 92%

Interaction of a hydrogenlike ion with a planar topological insulator

Martín-Ruiz

Urrutia

2018

Phys. Rev. A

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An electric charge near the surface of a topological insulator (TI) induces an image magnetic monopole. Here we study the spectra of hydrogenlike ions near the surface of a planar TI, taking into account the modifications which arise due to the presence of the image monopole magnetic fields. In fact, the atom-TI interaction provides additional contributions to the Casimir-Polder potential while the ion-TI interaction modifies the energy shifts in the spectrum, which now became distance dependent. We show that the hyperfine structure is sensitive to the image magnetic monopole fields in states with nonzero angular momentum, and that circular Rydberg ions can enhance the maximal energy shifts. We discuss in detail the energy splitting of the nP 1/2 and nP 3/2 states in hydrogen. We also analyze the Casimir-Polder potential and find that this magnetic interaction produces a large distance repulsive tail for some particular atomic states. A sizable value of the maximum of the potential requires TIs with very low values of the permittivity together with high values of the topological magnetoelectric polarization.

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Section: Discussionsupporting

confidence: 92%

Interaction of a hydrogenlike ion with a planar topological insulator

Martín-Ruiz

Urrutia

2018

Phys. Rev. A

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“…The present work relies on the idea that atomic spectroscopy could play an important role in the study of the TME in axionic matter, as proposed in Refs. [34] and [35]. We consider it as providing an idealized setup where one can acquire a qualitative understanding of the orders of magnitude involved, together with a general idea of the major modifications to be expected in the spectrum.…”

Section: Discussionmentioning

confidence: 99%

“…However, when an atom is close to the interface between two θ-media, Maxwell's equations acquire additional magnetoelectric terms which yields to new interactions between the atomic electron and the interface, besides the usual nucleus-electron electromagnetic interaction. This problem has been tackled recently from both a classical [34] and a quantum perturbative [35] perspectives, but an analytic treatment of the quantum-mechanical problem is still absent. Our main aim here is to fill in this gap.…”

Section: The Quantum Mechanical Problemmentioning

confidence: 99%

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Exact solution of the Schrödinger equation for a hydrogen atom at the interface between the vacuum and a topologically insulating surface

2019

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When an hydrogen atom is brought near to the interface between θ-media, the quantummechanical motion of the electron will be affected by the electromagnetic interaction between the atomic charges and the θ-interface, which is described by an axionic extension of Maxwell electrodynamics in the presence of a boundary. In this paper we investigate the atom-surface interaction effects upon the energy levels and wave functions of an hydrogen atom placed at the interface between a θ-medium and the vacuum. In the approximation considered, the Schrödinger equation can be exactly solved by separation of variables in terms of hypergeometic functions for the angular part and hydrogenic functions for the radial part. In order to make such effects apparent we deal with unrealistic high values of the θ-parameter. We also compute the energy shifts using perturbation theory for a particular small value of θ and we demonstrate that they are in a very good agreement with the ones obtained from the exact solution.

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“…26. The classical dynamics of a Rydberg hydrogen atom near a planar TI has also been investigated 27 .…”

Section: Introductionmentioning

confidence: 99%

The magnetoelectric coupling in electrodynamics

Martín-Ruiz

Cambiaso

Urrutia

2019

Int. J. Mod. Phys. A

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We explore a model akin to axion electrodynamics in which the axion field θ(t, x) rather than being dynamical is a piecewise constant effective parameter θ encoding the microscopic properties of the medium inasmuch as its permittivity or permeability, defining what we call a θ-medium. This model describes a large class of phenomena, among which we highlight the electromagnetic response of materials with topological order, like topological insulators for example. We pursue a Green's function formulation of what amounts to typical boundary-value problems of θ-media, when external sources or boundary conditions are given. As an illustration of our methods, which we have also extended to ponderable media, we interpret the constant θ as a novel topological property of vacuum, a so called θ-vacuum, and restrict our discussion to the cases where the permittivity and the permeability of the media is one. In this way we concentrate upon the effects of the additional θ coupling which induce remarkable magnetoelectric effects. The issue of boundary conditions for electromagnetic radiation is crucial for the occurrence of the Casimir effect, therefore we apply the methods described above as an alternative way to approach the modifications to the Casimir effect by the inclusion of topological insulators.

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Dynamics of a Rydberg hydrogen atom near a topologically insulating surface

Cited by 11 publications

References 33 publications

Interaction of a hydrogenlike ion with a planar topological insulator

Interaction of a hydrogenlike ion with a planar topological insulator

Exact solution of the Schrödinger equation for a hydrogen atom at the interface between the vacuum and a topologically insulating surface

The magnetoelectric coupling in electrodynamics

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