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Open Quantum Systems Decoherence
Quantum Simulation
On the Existence of Monodromies for the Rabi model
arXiv
Authors: Bruno Carneiro da Cunha, Manuela Carvalho de Almeida, Amilcar Rabelo de Queiroz
Year
2015
Paper ID
7953
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
We discuss the existence of monodromies associated with the singular points of the eigenvalue problem for the Rabi model. The complete control of the full monodromy data requires the taming of the Stokes phenomenon associated with the unique irregular singular point. The monodromy data, in particular the composite monodromy, are written in terms of the parameters of the model via the isomonodromy method and the tau-function of the Painlevé V. These data provide a systematic way to obtain the quantized spectrum of the Rabi model.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We discuss the existence of monodromies associated with the singular points of the eigenvalue problem for the Rabi model.
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