Institut für Theoretische Physik, Hardenbergstraße 36, TU Berlin, D-10623 Berlin, Germany.
J Phys Condens Matter. 2011 Jan 19;23(2):025304. doi: 10.1088/0953-8984/23/2/025304. Epub 2010 Dec 16.
We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment brings. We describe how counting fields may be included in a self-consistent manner in this formalism such that the full counting statistics can be calculated. Non-Markovian effects are also incorporated. Several different self-consistent approximations are introduced and we discuss their relative strengths with a simple example.
我们开发了一种李代数空间中的自洽微扰理论，旨在结合量子输运中主方程方法的优势和自洽处理带来的非微扰特征。我们描述了如何以自洽的方式将计数场包含在这种形式中，从而可以计算全计数统计量。非马尔可夫效应也被包含在内。我们引入了几种不同的自洽近似，并通过一个简单的例子讨论了它们的相对优势。
