Speed limit for open quantum systems
Speed limit for open quantum systems
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DOI：
10.1088/1367-2630/aaf9f5
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发表时间：
2019-01-09
影响因子：
3.3
通讯作者：
Saito, Keiji
中科院分区：
文献类型：
--
作者：
Funo, Ken;Shiraishi, Naoto;Saito, Keiji
研究了Lindblad主方程描述的开放量子系统的量子速度极限。该不等式显示了操作时间与能量涨落和熵产生等物理量之间的折衷关系。我们进一步确定了一个数量表征的状态转换的速度，这只会出现在我们考虑开放系统的量子制度的动力学。当热弛豫是占主导地位的系统的酉动力学相比，我们表明，这个量是近似的能量波动的反绝热哈密顿量，这是作为一个控制字段中的快捷方式绝热协议。我们讨论了所得到的量子速度极限的物理意义，并试图对开放量子系统中的速度给出更好的直觉。
We study the quantum speed limit for open quantum systems described by the Lindblad master equation. The obtained inequality shows a trade-off relation between the operation time and the physical quantities such as the energy fluctuation and the entropy production. We further identify a quantity characterizing the speed of the state transformation, which appears only when we consider the open system dynamics in the quantum regime. When the thermal relaxation is dominant compared to the unitary dynamics of the system, we show that this quantity is approximated by the energy fluctuation of the counter-diabatic Hamiltonian which is used as a control field in the shortcuts to adiabaticity protocol. We discuss the physical meaning of the obtained quantum speed limit and try to give better intuition about the speed in open quantum systems.