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A generalized N-level single-mode Jaynes-Cummings model

E. A. Kochetov

Physica A Statistical Mechanics and its ApplicationsMay 1, 19889 citations

A generalized Jaynes-Cummings model for the N-level atom and (N − 1) modes

A.M. Abdel-Hafez, A.M.M. Abu-Sitta, A.‐S. F. Obada

Physica A Statistical Mechanics and its ApplicationsApr 1, 198935 citations

Solutions of two-mode Jaynes-Cummings models

Sudha Singh, Ashalata Sinha

PramanaMay 1, 20085 citations

Full spectrum of nonlinear Jaynes–Cummings and anti-Jaynes–Cummings models

Francesco Antonino Raffa, Mario Rasetti

The unitary transformation method is utilized for the closed form solution of the nonlinear generalization of the Jaynes–Cummings (JC) model, which includes arbitrary multiphoton and intensity-dependent interactions between radiation and matter. Specifically, the unitary transformation leading to the diagonalization of the relevant Hamiltonian is established and energy levels and eigenstates are derived. It is also shown that the results for the JC model can be extended to the anti-Jaynes–Cummings (AJC) model through the map between the two models.The unitary transformation method is utilized for the closed form solution of the nonlinear generalization of the Jaynes–Cummings (JC) model, which includes arbitrary multiphoton and intensity-dependent interactions between radiation and matter. Specifically, the unitary transformation leading to the diagonalization of the relevant Hamiltonian is established and energy levels and eigenstates are derived. It is also shown that the results for the JC model can be extended to the anti-Jaynes–Cummings (AJC) model through the map between the two models.

International Journal of Quantum InformationNov 29, 20172 citations

Exploring supersymmetry: Interchangeability between Jaynes-Cummings and anti-Jaynes-Cummings models

Ivan A. Bocanegra-Garay, Miguel Castillo-Celeita, J. Negro +2 more

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC model using supersymmetric techniques, providing an overview of its dynamics and extending the calculation to full photon counting statistics. The approach is general and can be applied to determine the high-order cumulants given an initial state. The analysis reveals that engineering the collapse-revival behavior and the quantum properties of the interacting field is possible by controlling the initial state of the atomic subsystem and the corresponding atomic frequency in the AJC model. The substantial potential for applications of supersymmetric techniques in the context of photonic quantum technologies is thus demonstrated. Published by the American Physical Society 2024

arXiv:2404.12438Physical Review ResearchNov 27, 202411 citations

A GENERALIZED JAYNES-CUMMINGS MODEL WITH INTENSITY-DEPENDENT COUPLING

Peng Zhou, jinjia peng

Chinese Science BulletinJan 1, 19910 citations

Two-mode generalization of the Jaynes–Cummings and Anti-Jaynes–Cummings models

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