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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
