Department of Chemistry and Biochemistry and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2013 Jul 5;111(1):010402. doi: 10.1103/PhysRevLett.111.010402. Epub 2013 Jul 3.
We derive a Margolus-Levitin-type bound on the minimal evolution time of an arbitrarily driven open quantum system. We express this quantum speed limit time in terms of the operator norm of the nonunitary generator of the dynamics. We apply these results to the damped Jaynes-Cummings model and demonstrate that the corresponding bound is tight. We further show that non-Markovian effects can speed up quantum evolution and therefore lead to a smaller quantum speed limit time.
我们推导出一个任意驱动的开放量子系统的最小演化时间的马古利斯-列维廷型界。我们用动力学的非幺正生成元的算子范数来表示这个量子速度限制时间。我们将这些结果应用于阻尼的 Jaynes-Cummings 模型，并证明了相应的界是紧的。我们进一步表明，非马尔可夫效应可以加速量子演化，从而导致更小的量子速度限制时间。
