General symmetry operators of the asymmetric quantum Rabi model

Abstract

The true level crossing in the asymmetric quantum Rabi model without any obvious symmetry can be exhibited in the energy spectrum if the qubit bias is a multiple of the cavity frequency, which should imply the existence of the hidden symmetry. In this work, within a Bogoliubov operator approach, we can readily derive the symmetry operators associated with the hidden symmetry hierarchically for arbitrary multiples. The symmetry operators for small multiples in the literature can be extremely easily reproduced in our general scheme. In addition, a general parity operator is defined through the symmetry operator, which naturally includes the well-known parity operator of the symmetric model. We believe that the present approach can be straightforwardly extended to other asymmetric Rabi models to find the relevant symmetry operators.

arXiv comment17 pages

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Cited by in corpus (5)

• Entanglement resonance in the asymmetric quantum Rabi model
• The heat kernel of the asymmetric quantum Rabi model
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• On the Origin of the Hidden Symmetry in the Asymmetric Quantum Rabi Model
• Symmetry operators of the asymmetric two-photon quantum Rabi model