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September 10, 2025Physica Scripta

SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters

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This analysis reveals how SUSY transforms Jaynes-Cummings Hamiltonians with different detuning, suggesting novel hierarchies in quantum optics.

SUSY transformations connect pairs of Jaynes-Cummings Hamiltonians, enhancing understanding of quantum systems.
Different detuning parameters aid in classifying Jaynes-Cummings Hamiltonians in hierarchies, revealing deeper quantum mechanics.
The study uncovers symmetries of Jaynes-Cummings Hamiltonians, contributing to knowledge about interacting systems.
A special case of resonant-like interactions highlights a shape-invariant hierarchy within Jaynes-Cummings systems.

Ates et al. (2025) studied this question.

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This analysis reveals how SUSY transforms Jaynes-Cummings Hamiltonians with different detuning, suggesting novel hierarchies in quantum optics.