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Dressing method in matter+radiation quantum models

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Abstract

We consider spectral problems related to Dicke and Jaynes-Cummings matter-radiation Hamiltonians and write the spectrum of a perturbed Dicke model (of a trapped ion interacting with the center-of-mass motion) in explicit form. We derive the dressing chain equations for non-Abelian elements and investigate them for two-state matter models. We discuss embedding of Jaynes-Tavis-Cummings models and nonrotating wave terms.

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Authors and Affiliations

  1. Gdansk University of Technology, ul. Narutowicza 11/12, 80-952, Gdansk, Poland

    S. B. Leble

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  1. S. B. Leble
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 1, pp. 118–132, July, 2007.

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Leble, S.B. Dressing method in matter+radiation quantum models. Theor Math Phys 152, 977–990 (2007). https://doi.org/10.1007/s11232-007-0082-4

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