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The asymmetric quantum Rabi model and generalised Pöschl–Teller potentials

Guan, Kai-Long, Li, Zi-Min, Dunning, Clare, Murray T, Batchelor (2018) The asymmetric quantum Rabi model and generalised Pöschl–Teller potentials. Journal of Physics A: Mathematical and Theoretical, 51 (31). ISSN 1751-8113. E-ISSN 1751-8121. (doi:10.1088/1751-8121/aacb44) (KAR id:67239)

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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.

Item Type: Article
DOI/Identification number: 10.1088/1751-8121/aacb44
Uncontrolled keywords: quantum Rabi model, Pöschl–Teller potentials, Bethe ansatz equations
Subjects: Q Science
Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Clare Dunning
Date Deposited: 08 Jun 2018 14:04 UTC
Last Modified: 06 May 2020 03:17 UTC
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