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arXiv · 1310.8655

Full spectrum of the Rabi model

Andrzej J. Maciejewski·Maria Przybylska·Tomasz Stachowiak
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Abstract

It is shown that in the Rabi model, for an integer value of the spectral parameter $x$, in addition to the finite number of the classical Judd states there exist infinitely many possible eigenstates. These eigenstates exist if the parameters of the problem are zeros of a certain transcendental function; in other words, there are infinitely many possible choices of parameters for which integer $x$ belongs to the spectrum. Morover, it is shown that the classical Judd eigenstates appear as degenerate cases of the confluent Heun function.

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Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak. 2013-10-31. Full spectrum of the Rabi model. https://doi.org/10.1016/j.physleta.2013.10.032

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