SUSY transformation as the coupler of non-interacting systems

Fuente: arXiv
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Autor principal: Jakubsky, Vit
Formato: Preprint
Publicado: 2025
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author Jakubsky, Vit
author_facet Jakubsky, Vit
contents Quasi-one-dimensional chains of atoms can be effectively described by one-dimensional Dirac-type equation. Crystal structure of the chain is reflected by pseudo-spin of the quasi-particles. In the article, we present a simple framework where supersymmetric transformation is utilized to generate an interaction between two, initially non-interacting systems described by pseudo-spin-one Dirac-type equation. In the presented example, the transformation converts two asymptotically non-interacting atomic chains into a saw chain locally. The model possesses a flat band whose energy can be fine-tuned deliberately.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15601
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SUSY transformation as the coupler of non-interacting systems
Jakubsky, Vit
Quantum Physics
Mesoscale and Nanoscale Physics
Mathematical Physics
Quasi-one-dimensional chains of atoms can be effectively described by one-dimensional Dirac-type equation. Crystal structure of the chain is reflected by pseudo-spin of the quasi-particles. In the article, we present a simple framework where supersymmetric transformation is utilized to generate an interaction between two, initially non-interacting systems described by pseudo-spin-one Dirac-type equation. In the presented example, the transformation converts two asymptotically non-interacting atomic chains into a saw chain locally. The model possesses a flat band whose energy can be fine-tuned deliberately.
title SUSY transformation as the coupler of non-interacting systems
topic Quantum Physics
Mesoscale and Nanoscale Physics
Mathematical Physics
url https://arxiv.org/abs/2501.15601