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arXiv 1302.6469cond-mat.mes-hallcond-mat.stat-mech
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关联量子系统输运的非平衡组态相互作用方法

Nonequilibrium configuration interaction method for transport in correlated quantum systems

Alan A. Dzhioev, D. S. Kosov

摘要:

提出了一种处理非平衡量子多粒子系统关联的新方法。该方法基于精确非微扰基态电子结构计算的组态相互作用理论思想。我们在Liouville-Fock空间中使用超算子技术,并将非平衡密度矩阵表示为建立在适当参考态上的所有可能的非平衡准粒子激发的线性组合。作为一个例子,我们考虑了电子-声子相互作用系统中的电子输运。嵌入(水库和相关量子系统之间的缓冲区)的概念被用来推导出一个精确的主方程的约化密度矩阵。利用试探密度矩阵的近似(截断)展开,我们得到了双准粒子振幅的线性方程组。然后计算稳态电流,并与其他方法的结果进行比较。证明了该方法的电流守恒性。

英文摘要:

We present a new approach to treat correlations in nonequilibrium quantum many-particle system. The method is based on ideas of configuration interaction theory of exact nonperturbative ground state electronic structure calculations. We use superoperator techniques in Liouville-Fock space and represent the nonequilibrium density matrix as a linear combination of all possible nonequilibrium quasiparticle excitations built on the appropriate reference state. As an example we consider the electron transport through the system with electron-phonon interaction. The concept of embedding (buffer zones between the reservoirs and the correlated quantum system) is used to derive an exact master equation for the reduced density matrix. Using approximate (truncated) expansion of the trial density matrix we obtain the linear system of equations for two-quasiparticle amplitudes. Then we compute the steady-state current and compare the result with other approaches. The current conserving property of the method is proved.

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