Energy landscape and conical intersection points of the driven Rabi model

Abstract

We examine the energy surfaces of the driven Rabi model, also known as the biased or generalised Rabi model, as a function of the coupling strength and the driving term. The energy surfaces are plotted numerically from the known analytic solution. The resulting energy landscape consists of an infinite stack of sheets connected by conical intersection points located at the degenerate Juddian points in the eigenspectrum. Trajectories encircling these points are expected to exhibit a nonzero geometric phase.

6 pages, 4 figures, minor corrections

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• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
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• Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Generalized adiabatic approximation to the quantum Rabi model
• Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
• PT-symmetric quantum Rabi model
• Non-orthogonal qubit states expansion for the asymmetric quantum Rabi model
• The heat kernel of the asymmetric quantum Rabi model
• An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime
• General symmetry operators of the asymmetric quantum Rabi model
• Density-functional theory for the Dicke Hamiltonian
• Symmetry operators of the asymmetric two-photon quantum Rabi model
• On the Origin of the Hidden Symmetry in the Asymmetric Quantum Rabi Model