arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1111.4059quant-phcond-mat.mes-hall
收藏

以可控和有效的方式近似开放量子系统动力学:退相干的微观方法

Approximating open quantum system dynamics in a controlled and efficient way: A microscopic approach to decoherence

Giulia Gualdi, Christiane P. Koch

摘要:

我们证明了一个开放量子系统的动力学可以有效地计算,并与预定义的误差,提供了一个基础存在的系统-环境相互作用是本地的,因此服从Lieb-Robinson约束。我们表明,这种假设一般可以。定义一个动态的重整化群变换,我们得到一个有效的哈密顿量的整个系统加上环境,其中只包括那些环境的自由度,是在有效的光锥系统。因此,减少的系统动力学可以模拟的计算工作,规模在最多项式的相互作用时间和有效的光锥的大小。我们的研究结果适用于由离散或连续自由度组成的通用环境。

英文摘要:

We demonstrate that the dynamics of an open quantum system can be calculated efficiently and with predefined error, provided a basis exists in which the system-environment interactions are local and hence obey the Lieb-Robinson bound. We show that this assumption can generally be made. Defining a dynamical renormalization group transformation, we obtain an effective Hamiltonian for the full system plus environment that comprises only those environmental degrees of freedom that are within the effective light cone of the system. The reduced system dynamics can therefore be simulated with a computational effort that scales at most polynomially in the interaction time and the size of the effective light cone. Our results hold for generic environments consisting of either discrete or continuous degrees of freedom.

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。

↑