The quantum Rabi model and Lie algebra representations of $\mathfrak{s}{{\mathfrak{l}}_{2}}$

DOI10.1088/1751-8113/47/33/335203zbMath1297.81194OpenAlexW2035750926MaRDI QIDQ2878642

Taishi Yamasaki, Masato Wakayama

Publication date: 4 September 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/47/33/335203

zbMATH Keywords

representationLie algebraconfluent Heun equationregular spectrumquantum Rabi modelJudd eigenstates

Mathematics Subject Classification ID

Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Determinant Expressions of Constraint Polynomials and the Spectrum of the Asymmetric Quantum Rabi Model ⋮ Full spectrum of the two-photon and the two-mode quantum Rabi models ⋮ Slice Segal–Bargmann transform ⋮ A generalization of the quantum Rabi model: exact solution and spectral structure ⋮ Asymptotic behavior of observables in the asymmetric quantum Rabi model ⋮ The quantum Rabi model: solution and dynamics ⋮ SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS ⋮ Symmetry of asymmetric quantum Rabi models

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