SUSY transformation as the coupler of non-interacting systems

• URL: http://arxiv.org/abs/2501.15601v1
• Date: Sun, 26 Jan 2025 17:04:57 GMT
• Title: SUSY transformation as the coupler of non-interacting systems
• Authors: Vit Jakubsky,
• Abstract summary: Quasi-one-dimensional chains of atoms can be effectively described by one-dimensional Dirac-type equation. Supersymmetric transformation is utilized to generate an interaction between two, initially non-interacting systems.
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• Abstract: 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.

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