Quantum Reflection Effects in the Diffraction of Matter Waves
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912464989323264 |
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| author | Fiedler, Johannes Osestad, Eivind K. Spallek, Fabian Vega, Andreu Bouton, Quentin Dutier, Gabriel |
| author_facet | Fiedler, Johannes Osestad, Eivind K. Spallek, Fabian Vega, Andreu Bouton, Quentin Dutier, Gabriel |
| contents | Among the fundamental quantum effects, quantum reflection (QR) is one of the most notable phenomena. Approximating arbitrary potentials in the Schrödinger equation as multistep potentials allows us to determine the reflection coefficient by means of a Riccati equation. We introduce a measure for the wavefunction's characteristic reflection distance and derive an analytical expression for this reflection point in an arbitrary power-law potential. We study the associated QR rate in the context of Casimir--Polder atom surface interactions, revealing its strong dependence on critical parameters such as velocity and interaction duration. As an application, we demonstrate how the matter-wave diffraction of a low-velocity metastable Argon beam impinging on a rotated grating facilitates high-precision potential analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03055 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Reflection Effects in the Diffraction of Matter Waves Fiedler, Johannes Osestad, Eivind K. Spallek, Fabian Vega, Andreu Bouton, Quentin Dutier, Gabriel Quantum Physics Among the fundamental quantum effects, quantum reflection (QR) is one of the most notable phenomena. Approximating arbitrary potentials in the Schrödinger equation as multistep potentials allows us to determine the reflection coefficient by means of a Riccati equation. We introduce a measure for the wavefunction's characteristic reflection distance and derive an analytical expression for this reflection point in an arbitrary power-law potential. We study the associated QR rate in the context of Casimir--Polder atom surface interactions, revealing its strong dependence on critical parameters such as velocity and interaction duration. As an application, we demonstrate how the matter-wave diffraction of a low-velocity metastable Argon beam impinging on a rotated grating facilitates high-precision potential analysis. |
| title | Quantum Reflection Effects in the Diffraction of Matter Waves |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.03055 |