Algebraic properties and spectral collapse in nonlinear quantum Rabi models

Year: 2018

Authors: Penna V., Raffa F. A., Franzosi R.

Autors Affiliation: Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, I-10129, Italy; QSTAR and CNR – Istituto Nazionale di Ottica, Largo Enrico Fermi 2, Firenze, I-50125, Italy

Abstract: We investigate the origin of spectral collapse occurring in nonlinear Rabi Hamiltonians with an su(1,1) coupling scheme, showing how the collapse can be triggered by the competition between the Rabi parameter g and the field frequency W. The collapse already appears in the model Hamiltonian where the atomic-energy term is absent. After showing that su(1,1) is the dynamical algebra of the Hamiltonian, we demonstrate how the occurrence of spectral collapse can be directly related to the three types of equivalence classes characterizing the structure of this algebra. We highlight how the dramatic change of the spectrum significantly affects the structure of eigenstates represented in a suitable momentum-coordinate picture.


Volume: 51 (4)      Pages from: 045301-1  to: 045301-11

KeyWords: Algebra su(1,1); Rabi model; Spectral collapse
DOI: 10.1088/1751-8121/aa9da6

Citations: 8
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