
TL;DR
This paper explores the concept of supersymmetry across various physics domains, highlighting its theoretical importance, experimental challenges, and applications in quantum engineering and condensed matter physics.
Contribution
It discusses the role of supersymmetry in different physical systems, emphasizing supersymmetric quantum mechanics and its practical advantages.
Findings
Supersymmetry can be realized in low and medium energy systems.
Supersymmetric quantum mechanics offers practical tools for quantum engineering.
Examples demonstrate isospectrality and hidden supersymmetry in diverse systems.
Abstract
Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary particle/high-energy physics casts doubt on the viability of this concept at the energies achievable at the LHC. The more unexpected are either already experimentally verified or proposed for verification manifestations of supersymmetry at the level of low (condensed matter physics, quantum optics) and medium (nuclear physics) energies where standard quantum mechanics works. Using examples of various systems from completely different areas of physics, we discuss the isospectrality of quantum Hamiltonians, hidden and explicit supersymmetry, the advantages of the supersymmetric quantum mechanics approach and its role in quantum engineering.
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