Prospects for testing the inverse-square law and gravitomagnetism using quantum interference

Hammad, Fayçal; Landry, Alexandre; Mathieu, Kaleb

doi:10.1142/s0218271821500048

Cited by 16 publications

(15 citation statements)

References 62 publications

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“…Experiments on hypothetical new forces are important tools for probing dark energy fields [7,8]. Introducing massive test masses into the interferometer will allow neutron tests of gravitomagnetism [30]. Our result is a proof of principle showing that such experiments can be realistically considered.…”

Section: Discussionmentioning

confidence: 72%

Neutron interference from a split-crystal interferometer

Lemmel,

Jentschel,

Abele

et al. 2022

Preprint

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We report the first successful operation of a neutron interferometer having a separate beamrecombining crystal. We achieved this result at the neutron interferometry setup S18 at the ILL in Grenoble by a collaboration between TU Wien, ILL Grenoble and INRIM Torino. While previous interferometers were machined out of a single crystal block, we managed to align two crystals on nanoradian and picometer scales, as required to obtain neutron interference. As a decisive proof of principle demonstration, it opens the door to a new generation of neutron interferometers and exciting applications.

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Section: Discussionmentioning

confidence: 72%

Neutron interference from a split-crystal interferometer

Lemmel,

Jentschel,

Abele

et al. 2022

Preprint

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“…We have discarded here the second solution that goes with the constant A as it would make R(ρ), and hence the wavefunction ϕ(r), diverge at the origin r = 0 for any azimuthal quantum number ≥ 0. Now, keeping only this first solution (10), the latter also diverges exponentially for ρ → ∞ unless we impose the following condition [35,36],…”

Section: In Minkowski Spacetime: M =mentioning

confidence: 99%

“…This part of the effective potential is what would give rise to the familiar Landau levels (13) when solving Equation ( 16) without the last term inside the parentheses. The eigenfunctions ψ(ρ) of the corresponding Hamiltonian would then be found using expression (10). The last term inside the parentheses in Equation ( 16) represents the second part of the effective potential, and constitutes just a small perturbing potential V(ρ).…”

Section: Using Perturbation Theorymentioning

confidence: 99%

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Landau Levels in a Gravitational Field: The Schwarzschild Spacetime Case

Landry

Hammad

2021

Universe

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We investigate the gravitational effect on Landau levels. We show that the familiar infinite Landau degeneracy of the energy levels of a quantum particle moving inside a uniform and constant magnetic field is removed by the interaction of the particle with a gravitational field. Two independent approaches are used to solve the relevant Schrödinger equation within the Newtonian approximation. It is found that both approaches yield qualitatively similar results within their respective approximations. With the goal of clarifying some results found in the literature concerning the use of a third independent approach for extracting the quantization condition based on a similar differential equation, we show that such an approach cannot yield a general and yet consistent result. We point out to the more accurate, but impractical, way to use such an approach; a way which does in principle yield a consistent quantization condition. We discuss how our results could be used to contribute in a novel way to the existing methods for testing gravity at the tabletop experiments level as well as at the astrophysical observational level by deriving the corrections brought by Yukawa-like and power-law deviations from the inverse-square law. The full relativistic regime is also examined in detail.

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“…[17][18][19] based on the Klein-Gordon and Schrödinger equations by considering the gravitational interaction of the particle with a massive sphere as a small perturbation compared to the interaction of the particle with the magnetic field. Although relying on the Schrödinger equation and treating gravity perturbatively as done in these studies might be sufficient for laboratory applications [20][21][22][23], when seeking astrophysical applications, implementing a generalrelativistic and a non-perturbative approach and appealing to the relativistic Dirac equation are highly recommended.…”

Section: Introductionmentioning

confidence: 99%

Spin-1/2 Particles under the Influence of a Uniform Magnetic Field in the Interior Schwarzschild Solution

2021

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The relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. The fully relativistic regime is considered, and the energy levels occupied by the particles are derived as functions of the magnetic field, the radius of the massive sphere and the total mass of the latter. As no assumption is made on the relative strengths of the particles’ interaction with the gravitational and magnetic fields, the relevance of our results to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense, is discussed.

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Prospects for testing the inverse-square law and gravitomagnetism using quantum interference

Cited by 16 publications

References 62 publications

Neutron interference from a split-crystal interferometer

Neutron interference from a split-crystal interferometer

Landau Levels in a Gravitational Field: The Schwarzschild Spacetime Case

Spin-1/2 Particles under the Influence of a Uniform Magnetic Field in the Interior Schwarzschild Solution

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