实时域中通过耦合到自旋池的自旋的精确非马尔可夫退相干动力学探测拓扑态
Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain
摘要：
在本文中，我们探讨了探测自旋耦合到一个自旋浴，其中自旋浴是由一个可控的一维横向场伊辛链。在拓扑相中，自由端边界条件下的一维横场伊辛链等价于具有非局域Majorana束缚态的修正Kitaev模型。我们发现探测自旋非马尔可夫退相干动力学可以反映自旋链的拓扑结构。通过控制伊辛链上的外磁场，我们发现了量子相变、拓扑边缘态和实时域非马尔可夫动力学之间的密切关系。我们还研究了该拓扑系统中相应的量子纠缠动力学。
英文摘要：
In this paper, we explore the decoherence dynamics of a probing spin coupled to a spin bath, where the spin bath is given by a controllable 1D transverse-field Ising chain. The 1D transverse-field Ising chain with free-ends boundary condition is equivalent to a modified Kitaev model with non-local Majorana bound states in its topological phase. We find that the probing spin non-Markovian decoherence dynamics can manifest the topological structure of the spin chain. By controlling the external magnetic field on the Ising chain, we find the close relationships between the quantum phase transitions, the topological edge states, and the non-Markovian dynamics in real-time domain. We also investigate the corresponding quantum entanglement dynamics in this topological system.
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