PreprintCC BY 4.0arXiv
Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations
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.
Related
- Supersymmetry of dissipative Bose-Fermi systems with application to Jaynes-Cummings and Dicke models
- From isolated singular wells to exact Bloch bands: the trigonometric Pöschl-Teller lattice
- The para--Racah Hamiltonian as an exactly solvable discretization of the Pöschl--Teller box
- Generalized symmetries, invariant solutions and conservation laws in the Jaynes-Cummings model
- Spectral localizer for unbounded topological Hamiltonians
BibTeX
@misc{ates2026pöschlteller,
title = {{Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations}},
author = {İsmail Burak Ateş and Şengül Kuru and Javier Negro and Efe Serbest},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39401},
eprint = {2610.39401},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39401},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations
AU - İsmail Burak Ateş
AU - Şengül Kuru
AU - Javier Negro
AU - Efe Serbest
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39401
UR - https://arxiv.org/abs/2610.39401
AB - 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.
ER -