arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv quant-ph/0207120quant-ph
收藏

简单动力学模型中的热纠缠

Hot entanglement in a simple dynamical model

S. Scheel, J. Eisert, P. L. Knight, M. B. Plenio

摘要:

一个二分系统的一个成分在最初是如何混合的,并且仍然通过与热化伙伴的相互作用而纠缠在一起?我们在这里解决这个问题。特别是,我们考虑的问题是如何混合的两个级别的系统和场模式可能是这样的自由纠缠产生的过程中的时间演化根据Jaynes-Cummings型相互作用。我们调查的情况下,两个级别的系统最初是从一个参数集的混合状态,而字段已准备在一个任意的热状态。根据初始态的特定选择和量子化场模式的初始温度,可以区分三种情况:(i)自由纠缠将立即产生,(ii)自由纠缠将产生,但仅在稍后的时间不同于零,(iii)联合态的部分转置始终保持为正。它将被证明,增加场模式的初始温度可能会导致联合状态在时间演化过程中变得可折叠,在较低的初始温度下的非可折叠状态相反。我们进一步评估所产生的纠缠定量,通过评估对数负数值,并通过提供一个分析上限。

英文摘要:

How mixed can one component of a bi-partite system be initially and still become entangled through interaction with a thermalized partner? We address this question here. In particular, we consider the question of how mixed a two-level system and a field mode may be such that free entanglement arises in the course of the time evolution according to a Jaynes-Cummings type interaction. We investigate the situation for which the two-level system is initially in mixed state taken from a one-parameter set, whereas the field has been prepared in an arbitrary thermal state. Depending on the particular choice for the initial state and the initial temperature of the quantised field mode, three cases can be distinguished: (i) free entanglement will be created immediately, (ii) free entanglement will be generated, but only at a later time different from zero, (iii) the partial transpose of the joint state remains positive at all times. It will be demonstrated that increasing the initial temperature of the field mode may cause the joint state to become distillable during the time evolution, in contrast to a non-distillable state at lower initial temperatures. We further assess the generated entanglement quantitatively, by evaluating the logarithmic negativity numerically, and by providing an analytical upper bound.

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。

↑