Algebraic properties and spectral collapse in nonlinear quantum Rabi models

DOI10.1088/1751-8121/aa9da6zbMath1387.81408OpenAlexW2769744155MaRDI QIDQ4606162

Roberto Franzosi, Vittorio Penna, Francesco A. Raffa

Publication date: 1 March 2018

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

Full work available at URL: https://doi.org/10.1088/1751-8121/aa9da6

zbMATH Keywords

Rabi modelspectral collapsealgebra \(\mathrm{su}(1,1)\)

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Quantum optics (81V80)

Related Items (5)

Quantum Rabi–Stark model: solutions and exotic energy spectra ⋮ Spectral Determinant of the Two‐Photon Quantum Rabi Model ⋮ Analytical description of the survival probability of coherent states in regular regimes ⋮ Spectral collapse in two-mode two-photon Rabi model ⋮ Quantum phase transition and spontaneous symmetry breaking in a nonlinear quantum Rabi model

Cites Work

• Compact versus noncompact quantum dynamics of time-dependent \(su(1,1)\)-valued Hamiltonians
• Scattering states in conformally invariant quantum mechanics
• Quantum dynamics of two-photon quantum Rabi model
• Two-photon Rabi model: analytic solutions and spectral collapse
• A geometric approach to quantum vortices
• Exact isolated solutions for the two-photon Rabi Hamiltonian
• The su(1,1) Tavis-Cummings model
• A novel approach to the spectral problem in the two photon Rabi model
• The su(1,1)-like intensity-dependent Rabi model: A perturbative analysis of weak and strong-coupling regimes
• On the solvability of the quantum Rabi model and its 2-photon and two-mode generalizations
• Foundations of Quantum Mechanics
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
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