 Spectral collapse in mixed Rabi modelC.F. Lo Physica A: Statistical Mechanics and its Applications, 2022, vol. 603, issue C Abstract: In this paper we have conducted a simple variational study of the ground state of the mixed Rabi model, namely the variant of the Rabi model with both one-photon and two-photon couplings of light-matter interaction. We have shown how the spectral collapse occurs beyond the critical value of the two-photon coupling. Our analysis also indicates that the upper bound of the ground-state energy approaches negative infinity as the two-photon coupling strength increases towards the critical value. This special feature is clearly generated by the one-photon coupling and disappears in the absence of the one-photon process. Likewise, we have investigated the eigenenergy spectrum of the mixed Rabi model near the critical coupling. It is found that the energy spectrum essentially consists of a continuum and some discrete energy levels below it. Indeed, it is reminiscent of the incomplete spectral collapse of the two-photon Rabi model. Keywords: Rabi model; two-photon Rabi model; spectral collapse; light-matter interaction; “Lorentzian function” potential well (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122004538 DOI: 10.1016/j.physa.2022.127678 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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