SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters
Mathematical Physics
2025-08-14 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2504.19943,
title = {SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters},
author = {İsmail Burak Ateş and Şengül Kuru and Javier Negro},
journal= {arXiv preprint arXiv:2504.19943},
year = {2025}
}
Comments
18 pages, 5 figures