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We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio $\eta$ of the atom energy…

Quantum Physics · Physics 2020-08-17 Yan Zhang , Bin-Bin Mao , Dazhi Xu , Yu-Yu Zhang , Wen-Long You , Maoxin Liu , Hong-Gang Luo

We investigate first- and second-order quantum phase transitions of the anisotropic quantum Rabi model, in which the rotating- and counter-rotating terms are allowed to have different coupling strength. The model interpolates between two…

Quantum Physics · Physics 2017-12-06 Maoxin Liu , Stefano Chesi , Zu-Jian Ying , Xiaosong Chen , Hong-Gang Luo , Hai-Qing Lin

In this manuscript, we analyze the mechanism of the superradiant phase transition in the anisotropic Rabi model under the classical oscillator limit using the pattern picture. By expanding the anisotropic Rabi model Hamiltonian in operator…

Quantum Physics · Physics 2026-05-07 Yuan Qiu , Ke-Xiong Yan , Jun-Hao Lin , Jie Song , Ye-Hong Chen , Yan-Xia

Although the superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model due to the no-go theorem caused by the $\mathbf{A}^2$ term, we demonstrate two distinct types of SRPTs emerging from the normal phase in…

Quantum Physics · Physics 2025-04-28 Tian Ye , Yan-Zhi Wang , Xiang-You Chen , Qing-Hu Chen , Hai-Qing Lin

We investigate the nonequilibrium steady state of the anisotropic open quantum Rabi model, which exhibits first-order and second-order dissipative phase transitions upon varying the degree of anisotropy between the coupling strengths of…

Quantum Physics · Physics 2024-08-01 Guitao Lyu , Korbinian Kottmann , Martin B. Plenio , Myung-Joong Hwang

Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the…

Quantum Physics · Physics 2018-06-01 Yimin Wang , Wen-Long You , Maoxin Liu , Yu-Li Dong , Hong-Gang Luo , G. Romero , J. Q. You

The open quantum Rabi model is studied in this work, with the explicit $\mathbf{A}^{2}$ term incorporated. It is shown that anisotropy provides a generic and robust mechanism for establishing a genuine platform for observing dissipative…

Quantum Physics · Physics 2026-03-27 Jun-Ling Wang , Yi-bo Liu , Qing-Hu Chen

We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first show that there exists equilibrium and non-equilibrium universal…

Quantum Physics · Physics 2017-02-22 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

A two-qutrit extension of the quantum Rabi model is studied. Despite its increased complexity, the model results to be integrable under specific, physically relevant conditions. This feature allows for the emergence of analytically…

Quantum Physics · Physics 2026-04-23 R. Grimaudo , A. S. M. De Castro , G. Falci , A. Messina , E. Paladino , A. Messina , N. V. Vitanov

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

Quantum Physics · Physics 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

In the ultrastrong-coupling regime, the quantum Rabi model can exhibit quantum phase transition (QPT) when the ratio of the qubit transition frequency to the frequency of the cavity field approaches infinity. However, it is challenging to…

Quantum Physics · Physics 2025-02-17 Xuan Xie , Cheng Liu , Lin-Lin Jiang , Jin-Feng Huang

We consider the phase-transition-like behaviour in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly…

Quantum Physics · Physics 2013-12-30 S. Ashhab

We consider the Rabi Hamiltonian which exhibits a quantum phase transition (QPT) despite consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving an exact solution in the limit where the atomic transition…

Quantum Physics · Physics 2015-10-30 Myung-Joong Hwang , Ricardo Puebla , Martin B. Plenio

The existence of zero-dimensional superradiant quantum phase transitions seems inconsistent with conventional statistical physics. This work clarifies this apparent inconsistency. We demonstrate the corresponding effective field theories…

Quantum Physics · Physics 2024-05-07 Zi-Yong Ge , Heng Fan , Franco Nori

The anisotropic two-photon quantum Rabi model is studied using the Bogoliubov operator approach. The doubly degenerate exceptional states are identified through analytical methods. By adjusting the position of the last exceptional point…

Quantum Physics · Physics 2025-04-08 Jiong Li , Daniel Braak , Qing-Hu Chen

Parametrically driven nonlinear resonators represent a building block for realizing fault-tolerant quantum computation and are useful for critical quantum sensing. From a fundamental viewpoint, the most intriguing feature of such a system…

Quantum Physics · Physics 2024-07-08 Hao-Long Zhang , Jia-Hao Lv , Ken Chen , Xue-Jia Yu , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur. The modified master equation can avoid some unphysical predictions, such as excitations in the system at zero…

Quantum Physics · Physics 2024-11-07 Ye-Hong Chen , Zhi-Cheng Shi , Yu-Ran Zhang , Franco Nori , Yan Xia

We explore the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. Through a combination of analytical and numerical approaches, we find that the model allows the appearance of a superradiant…

Quantum Physics · Physics 2020-06-30 Yimin Wang , Maoxin Liu , Wen-Long You , Stefano Chesi , Hong-Gang Luo , Hai-Qing Lin

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

Various quantum phase transitions in the anisotropic Rabi-Stark model with both the nonlinear Stark coupling and the linear dipole coupling between a two-level system and a single-mode cavity are studied in this work. The first-order…

Quantum Physics · Physics 2020-05-05 You-Fei Xie , Xiang-You Chen , Xiao-Fei Dong , Qing-Hu Chen
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