Quantum scars and caustics in Majorana billiards
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| Titel: | Quantum scars and caustics in Majorana billiards |
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| Autoren: | Johanna Zijderveld, A. Mert Bozkurt, Michael Wimmer, Inanc Adagideli |
| Quelle: | SciPost Physics, Vol 17, Iss 5, p 147 (2024) |
| Publication Status: | Preprint |
| Verlagsinformationen: | Stichting SciPost, 2024. |
| Publikationsjahr: | 2024 |
| Schlagwörter: | 0301 basic medicine, 0303 health sciences, Condensed Matter - Mesoscale and Nanoscale Physics, Physics, QC1-999, Condensed Matter - Superconductivity, FOS: Physical sciences, Approximation methods and numerical treatment of dynamical systems, Superconductivity (cond-mat.supr-con), Foundations, quantum information and its processing, quantum axioms, and philosophy, 03 medical and health sciences, General mathematical topics and methods in quantum theory, Mesoscale and Nanoscale Physics (cond-mat.mes-hall) |
| Beschreibung: | We demonstrate that the classical dynamics influence the localization behaviour of Majorana wavefunctions in Majorana billiards. By using a connection between Majorana wavefunctions and eigenfunctions of a normal state Hamiltonian, we show that Majorana wavefunctions in both p-wave and s-wave topological superconductors inherit the properties of the underlying normal state eigenfunctions. As an example, we demonstrate that Majorana wavefunctions in topological superconductors with chaotic shapes feature quantum scarring. Furthermore, we show a way to manipulate a localized Majorana wavefunction by altering the underlying classical dynamics using a local potential away from the localization region. Finally, in the presence of chiral symmetry breaking, we find that the Majorana wavefunction in convex-shaped Majorana billiards exhibits caustics formation, reminiscent of a normal state system with magnetic field. |
| Publikationsart: | Article |
| Dateibeschreibung: | application/xml |
| ISSN: | 2542-4653 |
| DOI: | 10.21468/scipostphys.17.5.147 |
| DOI: | 10.48550/arxiv.2312.13368 |
| Zugangs-URL: | http://arxiv.org/abs/2312.13368 https://zbmath.org/7982738 https://doi.org/10.21468/scipostphys.17.5.147 https://doaj.org/article/ac9c2f6e71f446f985b12afb1f76aef5 |
| Rights: | CC BY arXiv Non-Exclusive Distribution |
| Dokumentencode: | edsair.doi.dedup.....ed1ae736c1bd29e36e5a32dcc96fd19c |
| Datenbank: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | We demonstrate that the classical dynamics influence the localization behaviour of Majorana wavefunctions in Majorana billiards. By using a connection between Majorana wavefunctions and eigenfunctions of a normal state Hamiltonian, we show that Majorana wavefunctions in both p-wave and s-wave topological superconductors inherit the properties of the underlying normal state eigenfunctions. As an example, we demonstrate that Majorana wavefunctions in topological superconductors with chaotic shapes feature quantum scarring. Furthermore, we show a way to manipulate a localized Majorana wavefunction by altering the underlying classical dynamics using a local potential away from the localization region. Finally, in the presence of chiral symmetry breaking, we find that the Majorana wavefunction in convex-shaped Majorana billiards exhibits caustics formation, reminiscent of a normal state system with magnetic field. |
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| ISSN: | 25424653 |
| DOI: | 10.21468/scipostphys.17.5.147 |