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Scaling behavior in the asymmetric quantum Rabi model
Zhongshan Su1, Yuqi Qing2, Yuan Jiang1
1Beijing Normal University, School of Systems Science & Institute of Nonequilibrium Systems, Beijing 100875, China.
Physical Review. E
|June 19, 2026
Summary
We explored critical phenomena in the asymmetric quantum Rabi model (AQRM), finding new phase transitions and critical exponents. This work establishes a framework for understanding quantum criticality in light-matter interactions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum optics
Background:
- The standard quantum Rabi model describes light-matter interactions.
- Parity symmetry plays a crucial role in quantum systems.
- Understanding critical phenomena is key to developing quantum technologies.
Purpose of the Study:
- To investigate the critical phenomena of the asymmetric quantum Rabi model (AQRM).
- To identify and characterize phase transitions and critical exponents in the AQRM.
- To develop a theoretical framework for universal quantum criticality in biased light-matter systems.
Main Methods:
- Analytical calculations to derive scaling functions.
- Numerical simulations to confirm theoretical predictions.
- Analysis of phase transitions and critical exponents.
Main Results:
- Identified second-order and first-order phase transitions, with the latter absent in the standard model.
- Derived a two-variable scaling function for finite-frequency scaling behavior.
- Discovered new critical exponents (ν_{h} and γ) due to bias.
- Observed persistent critical scaling below conventional critical coupling, indicating field-induced quantum criticality.
Conclusions:
- The asymmetric quantum Rabi model exhibits richer critical phenomena than the standard model.
- A robust theoretical framework for universal quantum criticality in light-matter systems has been established.
- Bias-induced effects are crucial for understanding quantum criticality in asymmetric systems.
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