Frequency-renormalized multipolaron expansion for the quantum Rabi model

Abstract

We present a frequency-renormalized multipolaron expansion method to explore the ground state of quantum Rabi model (QRM). The main idea is to take polaron as starting point to expand the ground state of QRM. The polarons are deformed and displaced oscillator states with variationally determined frequency-renormalization and displacement parameters. This method is an extension of the previously proposed polaron concept and the coherent state expansion used in the literature, which shows high efficiency in describing the physics of the QRM. The proposed method is expected to be useful for solving other more complicated light-matter interaction models.

7 pages, 6 figures

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• Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
• Entanglement resonance in the asymmetric quantum Rabi model
• Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
• Squeezed displaced entangled states in the quantum Rabi model
• Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
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• Characterizing Superradiant Phase of the Quantum Rabi Model
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• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
• An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime
• Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model