Computer-aided cluster expansion: an efficient algebraic approach for open quantum many-particle systems. (English) Zbl 1376.81081

Foerster, A.; Leymann, H. A. M.; Wiersig, J.

Comput. Phys. Commun. 212, 210-219 (2017).

Summary: We introduce an equation of motion approach that allows for an approximate evaluation of the time evolution of a quantum system, where the algebraic work to derive the equations of motion is done by the computer. The introduced procedures offer a variety of different types of approximations applicable for finite systems with strong coupling as well as for arbitrary large systems where augmented mean-field theories like the cluster expansion can be applied.

MSC:

81V70	Many-body theory; quantum Hall effect
68W30	Symbolic computation and algebraic computation
81-08	Computational methods for problems pertaining to quantum theory
81-04	Software, source code, etc. for problems pertaining to quantum theory

Keywords:

semiconductor quantum optics; open quantum many-particle systems; equations of motion; cluster expansion; microcavity laser; photon correlations

Software:

FORM; EoM_main.frm

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