This article is cited in 2 papers

Dressing method in matter $+$ radiation quantum models

S. B. Leble

Technical University of Gdańsk

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.

Keywords: Darboux transformation, dressing chain equation, Jaynes–Cumming model, Dicke model, matrix shape invariant potential.

DOI: 10.4213/tmf6074

 English version: Theoretical and Mathematical Physics, 2007, 152:1, 977–990

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