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arXiv · 2504.19943

SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters

İsmail Burak Ateş·Şengül Kuru·Javier Negro
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Abstract

The aim of this work is to show how supersymmetric (SUSY) quantum mechanics can be applied to the Jaynes-Cummings (JC) Hamiltonian of quantum optics. These SUSY transformations connect pairs of Jaynes-Cummings Hamiltonians characterized by different detuning parameters as well as Jaynes-Cummings to anti-Jaynes-Cummings Hamiltonians. Therefore, JC Hamiltonians can be classified in hierarchies or sequences which are connected through SUSY transformations. As a byproduct, the symmetries of JC Hamiltonians are found as well as the special case of a sequence of resonant-like interacting systems having the form of a simple shape invariant JC Hamiltonian hierarchy.

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İsmail Burak Ateş, Şengül Kuru, Javier Negro. 2025-04-28. SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters. https://doi.org/10.1088/1402-4896%2Fadf5fd

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