SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913987247996928 |
|---|---|
| author | Ateş, İsmail Burak Kuru, Şengül Negro, Javier |
| author_facet | Ateş, İsmail Burak Kuru, Şengül Negro, Javier |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19943 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters Ateş, İsmail Burak Kuru, Şengül Negro, Javier Mathematical Physics Quantum Physics 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. |
| title | SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.19943 |