Quantum speed limit and nonclassicality in open quantum system models using the Wigner function

The quantum speed limit and the Wigner function of open system models are studied. To this end, we use the phase covariant and a two-qubit model interacting with a squeezed thermal bath via position-dependent coupling. The dependence of the coupling on the position of the qubits allows for the study of the dynamics in the collective regime, which is conducive to speeding up the evolution. An interesting interplay is observed between non-Markovian behavior, quantumness, and the quantum speed limit. The presence of quantum correlations is seen to speed up the evolution.