For a model of an atom embedded in a photonic-band-gap reservoir, it was found that the speedup of quantum evolution is subject to the atomic frequency changes. In this work, we propose different points of view on speeding up the evolution. We show that the atomic embedded position, the width of the band gap and the defect mode also play an important role in accelerating the evolution. By changing the embedded position of the atom and the coupling strength with the defect mode, the speedup region lies even outside the band-gap region, where the non-Markovian effect is weak. The mechanism for the speedup is due to the interplay of atomic excited population and the non-Markovianity. The feasible experimental system composed of quantum dots in the photonic crystal is discussed. These results provide new degree of freedoms to depress the quantum speed limit time in photonic crystals.
['Yunan Wu', 'Jing Wang', 'Hanzhuang Zhang']
Quantum speedup of an atom coupled to a photonic-band-gap reservoir