arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.06897quant-phcond-mat.other
收藏

结构化环境对几何相位的修正:非马尔可夫效应的开始

Correction to the geometric phase by structured environments: the onset of non-Markovian effects

Fernando C. Lombardo, Paula I. Villar

摘要:

本文研究了结构化环境下二能级系统的几何相位,特别分析了欧姆性参数$s$对几何相位的修正以及非马尔可夫性的出现.我们首先研究了耦合到一组谐振子的系统,并研究了退相干因子随环境欧姆参数的变化。其次,我们提出了一个耦合到非平衡环境的两能级系统,并证明了这些环境显示非马尔可夫效应的所有值的欧姆参数。因此,在两种类型的环境的存在下,计算的两个能级系统的几何相位。在马尔可夫和非马尔可夫制度的校正酉几何相位进行了分析。在马尔可夫环境下,系统相位的修正主要取决于系统与环境之间的耦合常数,而在非马尔可夫环境下,记忆效应似乎会引起对幺正几何相位的显著修正.这一结果对量子开放系统中基于几何相位的量子信息处理具有重要意义

英文摘要:

We study the geometric phase of a two-level system under the presence of a structured environment, particularly analysing its correction with the ohmicity parameter $s$ and the onset of non-Markovianity. We firstly examine the system coupled to a set of harmonic oscillators and studied the decoherence factor as function of the environment's ohmicity parameter. Secondly, we propose the two-level system coupled to a non-equilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analysed in both, Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑