Effective quantum Zeno dynamics in dissipative quantum systems
Effective quantum Zeno dynamics in dissipative quantum systems
复制标题
DOI：
10.1103/physreva.98.052110
复制
发表时间：
2018-06
影响因子：
2.9
通讯作者：
V. Popkov;Simon Essink;C. Presilla;G. Schutz
中科院分区：
文献类型：
--
作者：
V. Popkov;Simon Essink;C. Presilla;G. Schutz
研究了由Lindblad主方程描述的开放量子系统的时间演化，耗散只作用于系统的部分自由度，目标是系统中唯一的暗态.我们表明，在大耗散的芝诺极限，跟踪的耗散子空间${\cal H}_0$的系统的密度矩阵，根据另一个Lindblad动力学，重整化的有效哈密顿量和弱有效耗散。这种行为的海森堡自旋链的情况下，明确检查一个或两个边界自旋强耦合到磁库。此外，重整化有效哈密顿量的本征态的布居按照经典的马尔可夫动力学随时间演化。作为这个结果的直接应用，我们提出了一个计算效率高的精确方法来评估一般系统的非平衡稳定状态的限制强耗散。
We investigate the time evolution of an open quantum system described by a Lindblad master equation with dissipation acting only on a part of the degrees of freedom ${\cal H}_0$ of the system, and targeting a unique dark state in ${\cal H}_0$. We show that, in the Zeno limit of large dissipation, the density matrix of the system traced over the dissipative subspace ${\cal H}_0$, evolves according to another Lindblad dynamics, with renormalized effective Hamiltonian and weak effective dissipation. This behavior is explicitly checked in the case of Heisenberg spin chains with one or both boundary spins strongly coupled to a magnetic reservoir. Moreover, the populations of the eigenstates of the renormalized effective Hamiltonian evolve in time according to a classical Markov dynamics. As a direct application of this result, we propose a computationally-efficient exact method to evaluate the nonequilibrium steady state of a general system in the limit of strong dissipation.