ZN symmetric chiral Rabi model: a new N-level system

Zhang, Yao-Zhong (2014) ZN symmetric chiral Rabi model: a new N-level system. Annals of Physics, 347 122-129. doi:10.1016/j.aop.2014.05.003

Author Zhang, Yao-Zhong
Title ZN symmetric chiral Rabi model: a new N-level system
Formatted title
ZN symmetric chiral Rabi model: a new N-level system
Journal name Annals of Physics   Check publisher's open access policy
ISSN 1096-035X
Publication date 2014-08-01
Year available 2014
Sub-type Article (original research)
DOI 10.1016/j.aop.2014.05.003
Volume 347
Start page 122
End page 129
Total pages 8
Place of publication Maryland Heights, MO, United States
Publisher Academic Press Inc.
Language eng
Formatted abstract
We present a new tractable quantum Rabi model for N-level atoms by extending the Z2 symmetry of the two-state Rabi model. The Hamiltonian is ZN symmetric and allows the parameters in the level separation terms to be complex while remaining hermitian. This latter property means that the new model is chiral, which makes it differ from any existing N-state Rabi models in the literature. The ZN symmetry provides partial diagonalization of the general Hamiltonian. The exact isolated (i.e. exceptional) energies of the model have the Rabi-like form but are N-fold degenerate. For the three-state case (N = 3), we obtain three transcendental functions whose zeros give the regular (i.e. non-exceptional) energies of the model.
Keyword Quasi-exactly solvable systems
Rabi model
Three-term recurrence relations
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID DP110103434
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
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Citation counts: TR Web of Science Citation Count  Cited 7 times in Thomson Reuters Web of Science Article | Citations
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