Reproducing the effects of quantum deformation in the undeformed Jaynes-Cummings model

Autor: Tsutsui, Thiago T., de Castro, Antonio S. M., Andrade, Fabiano M.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In the Jaynes-Cummings (JC) model, the time dependence in the coupling parameter allows changes in the forms of the Rabi oscillations. In the inverse problem approach (IPA), the time-dependent coupling parameter is obtained from the resulting population inversion. In this work, we employ the IPA to obtain a time-dependent coupling that reproduces the effects of $\kappa$-deformation in an undeformed JC. This is relevant because it may pave the way for interpreting quantum deformation in the $\kappa$-JC and possibly enables an experimental verification in a setting where the coupling can be precisely controlled. We also propose a generalized IPA, which includes the cavity with a distribution of photons.
Comment: 7 pages, 8 figures, comments are welcome
Databáze: arXiv