New symmetry in the Rabi model

Abstract

It is recognised that, apart from the total energy conservation, there is a nonlocal ${\mathbb{Z}}_2$ and a somewhat hidden symmetry in this model. Conditions for the existence of this observable, its form, and its explicit construction are presented.

References in corpus (8)

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• Generalized rotating-wave approximation for arbitrarily large coupling
• Exact solvability of the quantum Rabi models within Bogoliubov operators
• Experimental characterization of bosonic photon creation and annihilation operators
• Riccati equation and the problem of decoherence
• Kramers degeneracy without eigenvectors
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Cited by in corpus (6)

• The hidden symmetry of the asymmetric quantum Rabi model
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• 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
• Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
• On the Origin of the Hidden Symmetry in the Asymmetric Quantum Rabi Model