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The quantum Rabi model is essential for understanding interacting quantum systems. It serves as the simplest non-integrable yet solvable model describing the interaction between a two-level system and a single mode of a bosonic field. In…

Quantum Physics · Physics 2024-01-12 Chon-Fai Kam , Yang Chen

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

The symmetric quantum Rabi model (QRM) is integrable due to a discrete $\mathbb{Z}_2$-symmetry of the Hamiltonian. This symmetry is generated by a known involution operator, measuring the parity of the eigenfunctions. An experimentally…

Mathematical Physics · Physics 2023-02-21 Cid Reyes-Bustos , Daniel Braak , Masato Wakayama

By extracting different levels of topological information a new light is shed on the energy spectrum of the anisotropic quantum Rabi model (QRM) which is the fundamental model of light-matter interactions with indispensable counter-rotating…

Quantum Physics · Physics 2023-05-19 Zu-Jian Ying

We investigate the form required for the time-dependent Rabi frequencies involved in a procedure capable to protect the action of quantum gates on an atomic qutrit by means of external fields continuously decoupling the system from the…

Recently, a superradiant phase transition first predicted theoretically in the quantum Rabi model (QRM) has been verified experimentally. This further stimulates the interest in the study of the process of phase transition and the nature of…

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

The ongoing rapid progress towards quantum technologies relies on new hybrid platforms optimized for specific quantum computation and communication tasks, and researchers are striving to achieve such platforms. We study theoretically a spin…

Quantum Physics · Physics 2021-12-06 Ida C. Skogvoll , Jonas Lidal , Jeroen Danon , Akashdeep Kamra

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

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

Starting with the Gaudin-like Bethe ansatz equations associated with the quasi-exactly solved (QES) exceptional points of the asymmetric quantum Rabi model (AQRM) a spectral equivalence is established with QES hyperbolic Schr\"odinger…

Quantum Physics · Physics 2018-07-09 Kai-Long Guan , Zi-Min Li , Clare Dunning , Murray T Batchelor

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

The quantum Rabi model (QRM), composed of a qubit interacting with a quantized photonic field, is a cornerstone of quantum optics. The QRM with dominant unitary dynamics has been demonstrated in circuit quantum electrodynamics (QED)…

Quantum Physics · Physics 2025-06-23 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Ken Chen , Xin Zhu , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

The quantum Rabi model describes the fundamental mechanism of light-matter interaction. It consists of a two-level atom or qubit coupled to a quantized harmonic mode via a transversal interaction. In the weak coupling regime, it reduces to…

Optically trapped ultracold polar molecules can have multiple long-lived states for coding quantum information, and can exhibit electric dipole-dipole interactions~(DDI) which enables entanglement generation. The general understanding on…

Quantum Physics · Physics 2026-05-25 Yan Lu , Xiao-Feng Shi

We employ a squeeze operator transformation approach to solve the anisotropic quantum Rabi model that includes a diamagnetic term. By carefully adjusting the amplitude of the diamagnetic term, we demonstrate that the anisotropic Rabi model…

The interplay of interactions, symmetries and gauge fields usually leads to intriguing quantum many-body phases. To explore the nature of emerging phases, we study a quantum Rabi triangle system as an elementary building block for…

Quantum Physics · Physics 2021-08-11 Yu-Yu Zhang , Zi-Xiang Hu , Libin Fu , Hong-Gang Luo , Han Pu , Xue-Feng Zhang

We propose a method for the fast generation of nonclassical ground states of the Rabi model in the ultrastrong and deep-strong coupling regimes via the shortcuts-to-adiabatic (STA) dynamics. The time-dependent quantum Rabi model is…

Quantum Physics · Physics 2021-01-15 Ye-Hong Chen , Wei Qin , Xin Wang , Adam Miranowicz , Franco Nori

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models…

Condensed Matter · Physics 2009-10-31 V. Yu. Irkhin , A. A. Katanin

Quantum criticality, as a fascinating quantum phenomenon, may provide significant advantages for quantum sensing. Here we propose a dynamic framework for quantum sensing with a family of Hamiltonians that undergo quantum phase transitions…

Quantum Physics · Physics 2021-01-20 Yaoming Chu , Shaoliang Zhang , Baiyi Yu , Jianming Cai

We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the Z2 symmetry of the quantum Rabi model allow us to build…

Quantum Physics · Physics 2016-07-20 Yimin Wang , Jiang Zhang , Chunfeng Wu , J. Q. You , G. Romero