Abstract
Non-Markovian effect is found to be able to decrease the quantum speed limit (QSL) time, and hence to enhance the intrinsic speed of quantum evolution. Although a reservoir with larger degree of non-Markovianity may seem like it should cause smaller QSL times, this seemingly intuitive thinking may not always be true. We illustrate this by investigating the QSL time of a qubit that is coupled to a two-band photonic-band-gap (PBG) environment. We show how the QSL time is influenced by the coherent property of the reservoir and the band-gap width. In particular, we find that the decrease of the QSL time is not attributed to the increasing non-Markovianity, while the memory time of the environment can be seen as an essential reflection to the QSL time. So, the QSL time provides a further insight and sharper identification of memory time in a PBG environment. We also discuss a feasible experimental realization of our prediction.
Highlights
Non-Markovian effect is found to be able to decrease the quantum speed limit (QSL) time, and to enhance the intrinsic speed of quantum evolution
We find that the QSL time reduction is attributed to the decreasing memory time of environment, which indicates the increase of the return velocity of information
We have investigated how the coherent property and the width of the band gap affect the QSL time of the qubit
Summary
Non-Markovian effect is found to be able to decrease the quantum speed limit (QSL) time, and to enhance the intrinsic speed of quantum evolution. It has been discovered that increasing non-Markovianity will decrease the QSL time, and lead to a faster speed of the intrinsic evolution. One question naturally arise: whether can the degree of non-Markovianity directly reflect the length of QSL time in a memory environment.
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