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arXiv · 2610.39401

Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations

İsmail Burak Ateş·Şengül Kuru·Javier Negro·Efe Serbest
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Abstract

The aim of this work is to define and investigate the generalized Jaynes-Cummings (JC) Hamiltonian by means of supersymmetric (SUSY) quantum mechanics methods. We have considered trigonometric and hyperbolic Pöschl-Teller (PT) potentials as two natural ingredients to modify the standard JC model. We show that these generalized JC Hamiltonians have a list of characteristics in common with the JC Hamiltonian, for example: matrix intertwining, excitation number symmetry, Rabi frequency, formulas for atomic inversion and classical and revival times. Therefore, we conclude that JC Hamiltonians can be considered as one example of a wider a class of generalized Hamiltonians which can be useful in broader interaction problems.

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İsmail Burak Ateş, Şengül Kuru, Javier Negro, Efe Serbest. 2026-10-29. Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations. https://arxiv.org/abs/2610.39401

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