Hidden symmetry operators for asymmetric generalised quantum Rabi models

Abstract

The hidden ${\mathbb{Z}}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based on the AQRM result, we propose an ansatz for the general form of the symmetry operators for AQRM-related models. Applying this ansatz we obtain the symmetry operator for three models: the anisotropic AQRM, the asymmetric Rabi-Stark model (ARSM) and the anisotropic ARSM.

7 pages, minor changes, references updated

References in corpus (9)

• The quantum Rabi model: solution and dynamics
• Analytical method of spectra calculations in the Bargmann representation
• The hidden symmetry of the asymmetric quantum Rabi model
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• Attempt to find the hidden symmetry in the asymmetric quantum Rabi model
• Remarks on the hidden symmetry of the asymmetric quantum Rabi model
• Multiple ground-state instabilities in the anisotropic quantum Rabi model
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Hidden symmetry in the biased Dicke model

Cited by in corpus (7)

• 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
• General symmetry operators of the asymmetric quantum Rabi model
• Deterministic single-photon source in the ultrastrong coupling regime
• Symmetry operators of the asymmetric two-photon quantum Rabi model
• On the Origin of the Hidden Symmetry in the Asymmetric Quantum Rabi Model