Local dynamics of mean-field quantum systems

N. Duffield, R. Werner
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引用次数: 33

Abstract

In this paper we extend the theory of mean-field-dynamical semigroups given in [DW1,Du1] to treat the irreversible mean-field dynamics of quasi-local mean-field observables. These are observables which are site averaged except within a region of tagged sites. In the thermodynamic limit the tagged sites absorb the whole lattice, but also become negligible in proportion to the bulk. We develop the theory in detail for a class of interactions which contains the mean-field versions of quantum lattice interactions with infinite range. For this class we obtain an explicit form of the dynamics in the thermodynamic limit
平均场量子系统的局部动力学
本文推广了文献[DW1,Du1]中给出的平均场动力半群理论,用于处理拟局部平均场观测值的不可逆平均场动力学问题。这些是可观测值,除了在标记站点的区域内,它们是站点平均的。在热力学极限下,被标记的位点吸收了整个晶格,但与体积相比也变得可以忽略不计。我们详细地发展了一类包含无限范围量子晶格相互作用的平均场版本的相互作用的理论。对于这一类,我们得到了热力学极限下动力学的显式形式
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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