SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters

2025/04/28 by Ateş, İsmail Burak, Kuru, Şengül, Negro, Javier · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2504.19943

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.

Citations

• Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
• Dirac-like Hamiltonians associated to Schrödinger factorizations
• Ultrastrong coupling regimes of light-matter interaction
• A classical simulation of nonlinear Jaynes--Cummings and Rabi models in photonic lattices
• Darboux transformations of the Jaynes-Cummings Hamiltonian
• Strong-driving-assisted multipartite entanglement in cavity QED
• Supersymmetry and Quantum Mechanics

Cited by

• Expected values for SUSY hierarchies of Jaynes-Cummings Hamiltonian

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