Asymptotic behavior of observables in the asymmetric quantum Rabi model

Abstract

The asymmetric quantum Rabi model with broken parity invariance shows spectral degeneracies in the integer case, that is when the asymmetry parameter equals an integer multiple of half the oscillator frequency, thus hinting at a hidden symmetry and accompanying integrability of the model. We study the expectation values of spin observables for each eigenstate and observe characteristic differences between the integer and noninteger cases for the asymptotics in the deep strong coupling regime, which can be understood from a perturbative expansion in the qubit splitting. We also construct a parent Hamiltonian whose exact eigenstates possess the same symmetries as the perturbative eigenstates of the asymmetric quantum Rabi model in the integer case.

arXiv comment19 pages, 4 figures

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Cited by in corpus (7)

• Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
• Remarks on the hidden symmetry of the asymmetric quantum Rabi model
• Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model
• Entanglement resonance in the asymmetric quantum Rabi model
• Generalized adiabatic approximation to the asymmetric quantum Rabi model: conical intersections and geometric phases
• Degeneracy and hidden symmetry -- an asymmetric quantum Rabi model with an integer bias
• Density-functional theory for the Dicke Hamiltonian