Quantum speed limit for the maximum coherent state under the squeezed environment*

The quantum speed limit time for system under squeezed environment is studied. We consider two typical models, the damped Jaynes–Cummings model and dephasing model. For environment, we find that becomes larger with parameter r increasing indicates symmetry about phase value ? = ? . Meanwhile, can also be influenced by coupling strength between environment. However, determined rate boundary of acceleration region interacting vacuum reservoir broken when parameters are appropriately chosen.