1] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China [2] Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China.
Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China.
Sci Rep. 2014 May 8;4:4890. doi: 10.1038/srep04890.
The minimal time a system needs to evolve from an initial state to its one orthogonal state is defined as the quantum speed limit time, which can be used to characterize the maximal speed of evolution of a quantum system. This is a fundamental question of quantum physics. We investigate the generic bound on the minimal evolution time of the open dynamical quantum system. This quantum speed limit time is applicable to both mixed and pure initial states. We then apply this result to the damped Jaynes-Cummings model and the Ohimc-like dephasing model starting from a general time-evolution state. The bound of this time-dependent state at any point in time can be found. For the damped Jaynes-Cummings model, when the system starts from the excited state, the corresponding bound first decreases and then increases in the Markovian dynamics. While in the non-Markovian regime, the speed limit time shows an interesting periodic oscillatory behavior. For the case of Ohimc-like dephasing model, this bound would be gradually trapped to a fixed value. In addition, the roles of the relativistic effects on the speed limit time for the observer in non-inertial frames are discussed.
系统从初始状态演化到其正交状态所需的最短时间定义为量子速度限制时间，可用于描述量子系统的最大演化速度。这是量子物理学的一个基本问题。我们研究了开放动力学量子系统的最短演化时间的一般约束。这个量子速度限制时间适用于混合态和纯态初始条件。然后，我们将该结果应用于阻尼 Jaynes-Cummings 模型和 Ohimc 型退相模型，从一般的时间演化态开始。可以找到该时间相关态在任何时间点的约束。对于阻尼 Jaynes-Cummings 模型，当系统从激发态开始时，相应的约束在 Markovian 动力学中先减小后增大。而在非 Markovian 情况下，速度限制时间表现出有趣的周期性振荡行为。对于 Ohimc 型退相模型，该约束将逐渐被捕获到一个固定值。此外，还讨论了非惯性系中观察者的相对论效应对速度限制时间的影响。
