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We introduce the cross-cavity quantum Rabi model describing the interaction of a single two-level system with two orthogonal boson fields and propose its quantum simulation by two-dimensional, bichromatic, first-sideband driving of a single…

Quantum Physics · Physics 2016-10-12 C. Huerta Alderete , B. M. Rodríguez-Lara

We study the two-qubit Rabi model in the most general case where the qubits are different from each other. The spectrum of the system in the ultrastrong-coupling regime is shown to converge to two forced oscillator chains by perturbation…

Quantum Physics · Physics 2013-07-31 S. A. Chilingaryan , B. M. Rodríguez-Lara

The Rabi model that describes the fundamental interaction between a two-level system with a quantized harmonic oscillator is one of the simplest and most ubiquitous models in modern physics. However, this model has not been solved exactly…

Quantum Physics · Physics 2015-06-04 Lixian Yu , Shiqun Zhu , Qifeng Liang , Gang Chen , Suotang Jia

The quantum Rabi model is a paradigmatic example of a minimal yet nontrivial light-matter interaction, whose spectrum is transcendental yet exhibits a number of regularities. Braak observed that the eigenvalues bunch or anti-bunch following…

Quantum Physics · Physics 2026-02-03 Alfonso Lanuza

Two-qubit system is the foundation of constructing the universal quantum gate. We have studied the two-qubit Rabi model for the general case and its generalizations with dipole, XXX and XYZ Heisenberg qubit-qubit interactions, which are…

Quantum Physics · Physics 2014-06-17 Jie Peng , Zhongzhou Ren , Daniel Braak , Guangjie Guo , Guoxing Ju , Xin Zhang , Xiaoyong Guo

The coupling of a two-level system with an electromagnetic field, whose fully quantized version is the quantum Rabi model, is among the central topics of quantum physics. When the coupling strength becomes large enough that the field mode…

Quantum Physics · Physics 2023-02-24 Johannes Koch , Geram R. Hunanyan , Till Ockenfels , Enrique Rico , Enrique Solano , Martin Weitz

The quantum Rabi model describes the interaction between a two-level quantum system and a single bosonic mode. We propose a method to perform a quantum simulation of the quantum Rabi model introducing a novel implementation of the two-level…

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 quantum Rabi model, which describes the interaction between a simplified atom and a mode of the electromagnetic field, is a cornerstone of modern quantum optics. One of the key assumptions of the model is that the `atom' is a perfect…

Quantum Physics · Physics 2025-04-09 Tabitha Doicin , Andrew D. Armour , Tommaso Tufarelli

The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$. It is shown here that the spectrum of the Rabi model coincides with the…

Quantum Physics · Physics 2013-12-03 Alexander Moroz

A generalized quantum Rabi Hamiltonian with both one- and two-photon terms has emerged in the circuit quantum electrodynamics system for a decade. The usual parity symmetry is broken naturally in the simultaneous presence of both couplings,…

Quantum Physics · Physics 2019-01-04 You-Fei Xie , Liwei Duan , Qing-Hu Chen

The quantum Rabi-Stark model, where the linear dipole coupling and the nonlinear Stark-like coupling are present on an equal footing, are studied within the Bogoliubov operators approach. Transcendental functions responsible for the exact…

Quantum Physics · Physics 2019-05-21 You-Fei Xie , Liwei Duan , Qing-Hu Chen

We introduce the anisotropic two-photon Rabi model in which the rotating and counter rotating terms enters along with two different coupling constants. Eigenvalues and eigenvectors are studied with exact means. We employ a variation of the…

Quantum Physics · Physics 2017-01-17 Shuai Cui , Jun-Peng Cao , Heng Fan , Luigi Amico

The Rabi-Stark model is a non-linear generalization of the quantum Rabi model including the dynamical Stark shift as a tunable term, which can be realized via quantum simulation on a cavity QED platform. When the Stark coupling becomes…

Quantum Physics · Physics 2024-06-13 Daniel Braak , Lei Cong , Hans-Peter Eckle , Henrik Johannesson , Elinor K. Twyeffort

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

We study two models describing the interaction of a two-level system with two quantum field modes. The first one is equivalent to a dissipative two-state system with just two boson fields in the absence of tunneling. The second describes…

Quantum Physics · Physics 2015-12-18 S. A. Chilingaryan , B. M. Rodríguez-Lara

In this report, we have studied exceptional spectra of the two-qubit quantum Rabi model in two situations. Firstly, an exceptional spectra is achieved in resonant condition, in which the frequencies of two qubit and photon field satisfy…

Quantum Physics · Physics 2016-10-11 Zhanyuan Yan , Bingbing Xu , Zehui Yan

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

We study the spectrum of the generalized Rabi model in which co- and counter-rotating terms have different coupling strengths. It is also equivalent to the model of a two-dimensional electron gas in a magnetic field with Rashba and…

Quantum Physics · Physics 2015-01-07 Michael Tomka , Omar El Araby , Mikhail Pletyukhov , Vladimir Gritsev

The quantum Rabi model is a widespread description for the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

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