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Yoshie, T., Scherer, A., Hendrickson, J., Khitrova, G., Gibbs, H.-M., Rupper, G., Ell, C., Shchekin, O.-B. and Deppe, D.-G. (2004) Nature, 432, 200-203.
https://doi.org/10.1038/nature03119

has been cited by the following article:

• TITLE: Controlling Speedup Induced by a Hierarchical Environment

  AUTHORS: Jing Wang, Yunan Wu, Wenyu Ji

  KEYWORDS: Non-Markovianity, Quantum Speed Limit Time, Photonic Crystal

  JOURNAL NAME: Journal of Modern Physics, Vol.10 No.10, September 3, 2019

  ABSTRACT: Quantum speedup of an open quantum system can be induced by the non-Markovian effect of the environment. Although an environment with a higher degree of non-Markovianity may seem like it should cause a faster speed of quantum evolution, this seemingly intuitive thinking may not always be correct. To clarify this point, we give a mechanism for controlling speedup of a single qubit that is coupled to a hierarchical photonic-crystal (PC) environment, which contains a defect single-mode cavity and a semi-infinite one-dimensional (1D) waveguide. Via studying the dynamics of the qubit, we reveal that with a judicious choice of the qubit-cavity coupling strength and the memory time of the waveguide environment, a speed-up evolution can be achieved. In particular, we found that the quantum speedup is not entirely attributed to the non-Markovianity, but to the increase of the total amount of flow information. That is the intrinsic physical reason that the hierarchical environment may induce the speed-up process. Our results may open new perspectives for detecting quantum speedup in realistic environments.