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Comparison of the iterated equation of motion approach and the density matrix formalism for the quantum Rabi model

Author

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  • Mona Kalthoff

    (Lehrstuhl für Theoretische Physik I)

  • Frederik Keim

    (Lehrstuhl für Theoretische Physik I)

  • Holger Krull

    (Lehrstuhl für Theoretische Physik I)

  • Götz S. Uhrig

    (Lehrstuhl für Theoretische Physik I)

Abstract

The density matrix formalism and the equation of motion approach are two semi-analytical methods that can be used to compute the non-equilibrium dynamics of correlated systems. While for a bilinear Hamiltonian both formalisms yield the exact result, for any non-bilinear Hamiltonian a truncation is necessary. Due to the fact that the commonly used truncation schemes differ for these two methods, the accuracy of the obtained results depends significantly on the chosen approach. In this paper, both formalisms are applied to the quantum Rabi model. This allows us to compare the approximate results and the exact dynamics of the system and enables us to discuss the accuracy of the approximations as well as the advantages and the disadvantages of both methods. It is shown to which extent the results fulfill physical requirements for the observables and which properties of the methods lead to unphysical results.

Suggested Citation

  • Mona Kalthoff & Frederik Keim & Holger Krull & Götz S. Uhrig, 2017. "Comparison of the iterated equation of motion approach and the density matrix formalism for the quantum Rabi model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(5), pages 1-14, May.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:5:d:10.1140_epjb_e2017-80063-2
    DOI: 10.1140/epjb/e2017-80063-2
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    Solid State and Materials;

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