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The Rabi model plays a fundamental role in understanding light-matter interaction. It reduces to the Jaynes-Cummings model via the rotating-wave approximation, which is applicable only to the cases of near resonance and weak coupling.…

Quantum Physics · Physics 2015-11-13 Zu-Jian Ying , Maoxin Liu , Hong-Gang Luo , Hai-Qing Lin , J. Q. You

The polaron picture is employed to investigate and elucidate the physics of the two-qubit quantum Rabi model, which describes two identical qubits coupled to a common harmonic oscillator. This approach enables us to obtain the ground-state…

Quantum Physics · Physics 2020-07-01 Xi-Mei Sun , Lei-Cong , Hans-Peter Eckle , Zu-Jian Ying , Hong-Gang Luo

We employ a polaron picture to investigate the properties of the two-photon quantum Rabi model (QRM), which describes a two-level or spin-half system coupled with a single bosonic mode by a two-photon process. In the polaron picture, the…

Quantum Physics · Physics 2019-01-16 Lei Cong , Xi-Mei Sun , Maoxin Liu , Zu-Jian Ying , Hong-Gang Luo

The ground state of quantum Rabi model (QRM) exhibits rich nonclassical states including squeezed state, cat state, and entangled state in different parameter regimes. In this paper, we firstly use the polaron picture to figure out the…

Quantum Physics · Physics 2022-11-30 Junpeng Liu , Miaomiao Zhao , Yun-Tong Yang , Hong-Gang Luo

We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM). The wave function is a weighted superposition of squeezed coherent states entangled with non-orthogonal qubit…

Quantum Physics · Physics 2021-01-15 Zi-Min Li , Devid Ferri , Murray T. Batchelor

The quantum Rabi model (QRM) is a cornerstone in the study of light-matter interactions within cavity and circuit quantum electrodynamics (QED). It effectively captures the dynamics of a two-level system coupled to a single-mode resonator,…

The experimental access to ultra-strong couplings in light-matter interactions has made the quantum phase transition (QPT) in the quantum Rabi model practically relevant, while the physics of the QPT has not yet been fully explored. The…

Quantum Physics · Physics 2025-12-29 Feng Qiao , Qiu-Yi Chen , Zu-Jian Ying

We investigate a generalized quantum Rabi model (QRM) with two- and four-photon terms with respect to applications for non-linear critical quantum metrology. In the introduced model, the spectral collapse occurring in the standard…

Quantum Physics · Physics 2025-08-26 Zu-Jian Ying , Hang-Hang Han , Bo-Jian Li , Simone Felicetti , Daniel Braak

A two-phonon system with lowest-order coupling of form $Q_RQ_{IR}^2$ is studied by perturbation method, and analytic results for both phonon displacements and frequencies are obtained. The frequency renormalization of infrared (IR) active…

Materials Science · Physics 2026-05-19 Yijie Zeng

Quantum systems that undergo quantum phase transitions exhibit divergent susceptibility and can be exploited as probes to estimate physical parameters. We generalize the dynamic framework for criticality-enhanced quantum sensing by the…

Quantum Physics · Physics 2023-03-01 Xin Zhu , Jia-Hao Lü , Wen Ning , Fan Wu , Li-Tuo Shen , Zhen-Biao Yang , Shi-Biao Zheng

Quasinormal mode (QNM) expansion is a popular tool to analyze light-matter interaction in nanoresonators. However, expanding far-field quantities such as the energy flux is an open problem because QNMs diverge with an increasing distance to…

We develop a systematic variational coherent-squeezed-state expansion for the ground state of the quantum Rabi model, which includes an additional squeezing effect with comparisons to previous coherent-state approach. For finite large ratio…

Quantum Physics · Physics 2020-03-25 Xiang-You Chen , Yu-Yu Zhang , Hang Zheng

We consider a generalized Rabi model formed by two identical qubits interacting with a common oscillator mode. In the near resonance configuration where the oscillator frequency is close to the transition frequency of the qubit, we…

Quantum Physics · Physics 2013-08-09 Kelvin M. C. Lee , C. K. Law

The phase transition is both thermodynamically and quantum-mechanically ubiquitous in nature or laboratory and its understanding is still one of most active issues in modern physics and related disciplines. The Landau's theory provides a…

Quantum Physics · Physics 2025-11-07 Yun-Tong Yang , Hong-Gang Luo

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system.…

Quantum Physics · Physics 2022-07-25 Zu-Jian Ying , Simone Felicetti , Gang Liu , Daniel Braak

We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 I. Pietikäinen , S. Danilin , K. S. Kumar , J. Tuorila , G. S. Paraoanu

The two-mode quantum Rabi model with bilinear coupling is studied using extended squeezed states. We derive $G$-functions for each Bargmann index $q$% . They share a common structure with the $G$-function of the one-photon and two-photon…

Quantum Physics · Physics 2015-11-30 Liwei Duan , Shu He , D. Braak , Qing-Hu Chen

The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances in the gRM and derive…

Quantum Physics · Physics 2020-11-12 Ken K. W. Ma

The quantum Rabi model (QRM) is a fundamental model for light-matter interactions. A fascinating feature of the QRM is that it manifests a quantum phase transition which is applicable for critical quantum metrology (CQM). Effective…

Quantum Physics · Physics 2024-09-20 Zu-Jian Ying , Wen-Long Wang , Bo-Jian Li

The concept of the polaron in condensed matter physics has been extended to the Rabi model, where polarons resulting from the coupling between a two-level system and single-mode photons represent two oppositely displaced oscillators.…

Quantum Physics · Physics 2017-02-23 Maoxin Liu , Zu-Jian Ying , Jun-Hong An , Hong-Gang Luo , Hai-Qing Lin
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