Unified Superradiant phase transitions

Abstract

We prove, by means of a unified treatment, that the superradiant phase transitions of Dicke and classical oscillator limits of simple light-matter models are indeed of the same type. We show that the mean-field approximation is exact in both cases, and compute the structure and location of the transitions in parameter space. We extend this study to a fuller range of models, paying special attention to symmetry considerations. We uncover general features of the phase structure in the space of parameters of these models.

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• Collective quantum enhancement in critical quantum sensing
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• Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
• The mixed quantum Rabi model
• Non-Gaussian superradiant transition via three-body ultrastrong coupling
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
• Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
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• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
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• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
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• Quantum phase transitions in the triangular coupled-top model
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
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• Quantum Phase Transitions in a Generalized Dicke Model
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
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• Effective Field Theories and Finite-temperature Properties of Zero-dimensional Superradiant Quantum Phase Transitions
• Phase Transitions in Light-Matter Systems for Quantum Sensing
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• Controlling Symmetries and Quantum Criticality in the Anisotropic Coupled-Top Model