The asymmetric quantum Rabi model and generalised Pöschl-Teller potentials

Kai Long Guan, Zi Min Li, Clare Dunning, Murray T. Batchelor

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    6 Citations (Scopus)

    Abstract

    Starting with the Gaudin-like Bethe ansatz equations associated with the quasi-exactly solved (QES) exceptional points of the asymmetric quantum Rabi model (AQRM) a spectral equivalence is established with QES hyperbolic Schrödinger potentials on the line. This leads to particular QES Pöschl-Teller potentials. The complete spectral equivalence is then established between the AQRM and generalised Pöschl-Teller potentials. This result extends a previous mapping between the symmetric quantum Rabi model and a QES Pöschl-Teller potential. The complete spectral equivalence between the two systems suggests that the physics of the generalised Pöschl-Teller potentials may also be explored in experimental realisations of the quantum Rabi model.

    Original languageEnglish
    Article number315204
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume51
    Issue number31
    DOIs
    Publication statusPublished - 28 Jun 2018

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