Quantum speed limit time of an open two-level atom with counter-rotating terms

Dynamics of quantum speed limit (QSL) time, under the scenario of frequent measurements on the system, of a two-level atom interacting with the vacuum electromagnetic field without the rotating wave approximation (RWA) are studied. The effects of three different interacting spectra, namely, super-ohmic, ohmic, and sub-ohmic, are analyzed. The behavior of QSL time shows control switching from quantum Zeno effect (QZE) to quantum anti-Zeno effect (QAZE) for certain choices of the parameter space of the Hamiltonian of the system. Graphical analysis of our results shows that the super-ohmic spectrum might be a better choice for certain quantum information tasks than the other two spectra considered here.