arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0809.3256quant-phcond-mat.other
收藏

开放相互作用双量子比特系统的弛豫时间

Relaxation times in an open interacting two-qubit system

Y. Dubi, M. Di Ventra

摘要:

在双量子比特系统中,与环境的耦合对纠缠动力学有很大的影响,通常会导致纠缠在有限时间内丢失。由于纠缠是这种系统应用于量子信息处理的关键特征,因此非常希望找到延长其寿命的方法。我们提出了一个简单的模型的相互作用的两个量子比特系统中存在的热马尔可夫环境。量子位被建模为在磁场中相互作用的自旋$\half$粒子,并且环境被限制为诱导单个自旋翻转事件。一个简单的方案使我们能够计算所有过程的弛豫速率。我们发现,最纠缠态的弛豫动力学表现出临界放缓作为磁场的函数,其中的弛豫速率变化从指数小的值,在零温度极限的有限值。我们研究了温度和磁场对所有其他弛豫速率的影响,发现它们表现出不寻常的性质,如温度的非单调依赖性和作为磁场函数的不连续性。此外,一个简单的计划,包括非马尔可夫效应,并适用于两个量子比特模型。我们发现,弛豫率表现出尖锐的,尖状共振结构作为环境记忆时间的函数,并且对于长的记忆时间,所有不同的弛豫率合并成一个单一的。

英文摘要:

In a two-qubit system the coupling with an environment affects considerably the entanglement dynamics, and usually leads to the loss of entanglement within a finite time. Since entanglement is a key feature in the application of such systems to quantum information processing, it is highly desirable to find a way to prolonging its lifetime. We present a simple model of an interacting two-qubit system in the presence of a thermal Markovian environment. The qubits are modeled as interacting spin-$\half$ particles in a magnetic field and the environment is limited to inducing single spin-flip events. A simple scheme allows us to calculate the relaxation rates for all processes. We show that the relaxation dynamics of the most entangled state exhibit critical slowing down as a function of the magnetic field, where the relaxation rate changes from exponentially small values to finite values in the zero-temperature limit. We study the effect of temperature and magnetic field on all the other relaxation rates and find that they exhibit unusual properties, such as non-monotonic dependence on temperature and a discontinuity as a function of magnetic field. In addition, a simple scheme to include non-Markovian effects is presented and applied to the two-qubit model. We find that the relaxation rates exhibit a sharp, cusp-like resonant structure as a function of the environment memory-time, and that for long memory-times all the different relaxation rates merge into a single one.

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。

↑