Solutions to the quantum Rabi model with two equivalent qubits

Abstract

Using extended coherent states, an analytically exact study has been carried out for the quantum Rabi model with two equivalent qubits. Compact transcendental functions of one variable have been derived leading to exact solutions. The energy spectrum is clearly identified and analyzed. Also obtained analytically is the necessary and sufficient conditions for the occurrence of isolated exceptional solutions, which are not doubly degenerate as in the one-qubit quantum Rabi model.

14 pages, 3 figures

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• Integrability vs exact solvability in the quantum Rabi and Dicke models
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• Generalized rotating-wave approximation to the two-qubit and cavity coupling system
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
• Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
• Dark-like states for the multi-qubit and multi-photon Rabi models
• Double degeneracy associated with hidden symmetries in the asymmetric two-photon Rabi model
• Cross-cavity quantum Rabi model
• The mixed quantum Rabi model
• Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
• Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators
• Squeezed displaced entangled states in the quantum Rabi model
• Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
• General symmetry operators of the asymmetric quantum Rabi model
• Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Tripartite quantum Rabi model with trapped Rydberg ions