Abstract The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed parameter r increasing and indicates symmetry about the phase parameter value θ=π. Meanwhile, the quantum speed limit time can also be influenced by the coupling strength between the system and environment. However, the quantum speed limit time for the dephasing model is determined by the dephasing rate and the boundary of acceleration region that interacting with vacuum reservoir can be broken when the squeezed environment parameters are appropriately chosen.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775040) and the Scientific and Technological Innovation Program of the Higher Education Institutions of Shanxi Province, China (Grant No. 2019L0527).
Kang-Ying Du(杜康英), Ya-Jie Ma(马雅洁), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水) Quantum speed limit for the maximum coherent state under the squeezed environment 2021 Chin. Phys. B 30 090308
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