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We have analyzed the interaction of a dissipative two level quantum system with high and low frequency excitation. The system is continuously and simultaneously irradiated by these two waves. If the frequency of the first signal is close to…

Quantum Physics · Physics 2007-05-23 Ya. S. Greenberg , E. Il'ichev

We demonstrate that non-equilibrium steady states of the dissipative Rabi model show dramatic spikes in transport rates over narrow parameter ranges. Similar results are found for the Holstein and Dicke models. This is found to be due to…

Quantum Physics · Physics 2023-06-07 Chern Chuang , Arie Kapulkin , Arjendu K. Pattanayak , Paul Brumer

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 scientific interest in the analytical solution of the quantum Rabi model is due to the widespread use of this simple model in quantum optics, quantum computing, cavity QED, and nanoelectromechanical systems. This interest is related to…

Quantum Physics · Physics 2023-02-14 Andrei Ivanov

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

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

The $\mathcal{PT}$ symmetric semiclassical Rabi model explores the fundamental interaction between a two-level atom and a classical field, revealing novel phenomena in open systems through the inclusion of non-Hermitian terms. We propose a…

Quantum Physics · Physics 2025-04-08 Yibo Liu , Liwei Duan , Qing-Hu Chen

The dissipative quantum Rabi model exhibits rich non-equilibrium physics, including a dissipative phase transition from the normal phase to the superradiant phase. In this work, we investigate the stability of the superradiant phase in the…

Quantum Physics · Physics 2026-02-18 Da-Wu Xiao , Chong Chen

The Rabi Hamiltonian is studied in the dispersive regime and ultra-strong coupling. We employ a recent unitary transformation to obtain not only the approximate Hamiltonian and its energy levels but also its eigenfunctions. The relationship…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Titus Sandu

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…

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

An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by…

Quantum Physics · Physics 2019-04-23 Bin-Bin Mao , Maoxin Liu , Wei Wu , Liangsheng Li , Zu-Jian Ying , Hong-Gang Luo

Anisotropic quantum Rabi model is a generalization of quantum Rabi model, which allows its rotating and counter-rotating terms to have two different coupling constants. It provides us with a fundamental model to understand various physical…

Quantum Physics · Physics 2019-03-18 Gangcheng Wang , Ruoqi Xiao , H. Z. Shen , Chunfang Sun , Kang Xue

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

The quantum Rabi model describes the ultrastrong interaction of a two-level atom coupled to a single quantized bosonic mode. As compared to the Jaynes-Cummings model, in the Rabi model the absorption and emission processes do not need to…

Quantum Physics · Physics 2015-02-24 Boyan T. Torosov , Stefano Longhi , Giuseppe Della Valle

Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model…

Quantum Physics · Physics 2019-02-27 Jialun Li , Gangcheng Wang , Ruoqi Xiao , Chunfang Sun , Chunfeng Wu , Kang Xue

Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space. The analytical expressions for the complete energy spectrum…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Degang Zhang

We study a cavity-QED setup consisting of a two-level system coupled to a single cavity mode with two-photon relaxation. The system dynamics is modeled via a Lindblad master equation consisting of the Rabi Hamiltonian and a two-photon…

Quantum Physics · Physics 2019-01-30 Moein Malekakhlagh , Alejandro W. Rodriguez

We discuss the physics of the Rabi-Hubbard model describing large arrays of coupled cavities interacting with two level atoms via a Rabi non-linearity. We show that the inclusion of counter-rotating terms in the light-matter interaction,…

Other Condensed Matter · Physics 2013-11-13 M. Schiró , M. Bordyuh , B. Öztop , H. E. Türeci

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…