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Open Quantum Systems Decoherence
Quantum Simulation
The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems
arXiv
Authors: Christian Brouder, Gérard H. E. Duchamp, Frédéric Patras, Gabor Zsolt Toth
Year
2010
Paper ID
10534
Status
Preprint
Abstract Read
~2 min
Abstract Words
83
Citations
N/A
Abstract
We present the first representation of the general term of the Rayleigh-Schrödinger series for quasidegenerate systems. Each term of the series is represented by a tree and there is a straightforward relation between the tree and the analytical expression of the corresponding term. The combinatorial and graphical techniques used in the proof of the series expansion allow us to derive various resummation formulas of the series. The relation with several combinatorial objects used for special cases (degenerate or non-degenerate systems) is established.
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- We present the first representation of the general term of the Rayleigh-Schrödinger series for quasidegenerate systems.
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