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The quantum Rabi model is a widespread description of 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…

Gauge invariance is the cornerstone of modern quantum field theory. Recently, it has been shown that the quantum Rabi model, describing the dipolar coupling between a two-level atom and a quantized electromagnetic field, violates this…

Quantum Physics · Physics 2019-06-05 O. Di Stefano , A. Settineri , V. Macrì , L. Garziano , R. Stassi , S. Savasta , F. Nori

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…

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 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 prototypical system constituted by a two-level atom interacting with a quantized single-mode electromagnetic field is described by the quantum Rabi model (QRM). The QRM is potentially valid at any light-matter interaction regime,…

We revisit the derivation of Rabi- and Dicke-type models, which are commonly used for the study of quantum light-matter interactions in cavity and circuit QED. We demonstrate that the validity of the two-level approximation, which is an…

Quantum Physics · Physics 2018-11-21 Daniele De Bernardis , Philipp Pilar , Tuomas Jaako , Simone De Liberato , Peter Rabl

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

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

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 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…

We propose a superconducting circuit to implement a two-photon quantum Rabi model in a solid-state device, where a qubit and a resonator are coupled by a two-photon interaction. We analyze the input-output relations for this circuit in the…

Quantum Physics · Physics 2018-02-02 S. Felicetti , D. Z. Rossatto , E. Rico , E. Solano , P. Forn-Díaz

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

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

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 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 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…

The quantum Rabi model describes the coupling of a two-state system to a bosonic field mode. Recent theoretical work has pointed out that a generalized periodic version of this model, which maps onto Hamiltonians applicable in…

Quantum Physics · Physics 2024-07-11 Geram R. Hunanyan , Johannes Koch , Stefanie Moll , Enrique Rico , Enrique Solano , Martin Weitz

The quantum Rabi model (QRM) is used to describe the light-matter interaction at the quantum level in Cavity Quantum Electrodynamics (Cavity QED). It consists of a two-level system (atom or qubit) coupled to a single-mode quantum field, and…

Quantum Physics · Physics 2024-09-10 Zakaria Boutakka , Zoubida Sakhi , Mohamed Bennai

We consider a generalization of the quantum Rabi model where the two-level system and the single-mode cavity oscillator are coupled by an additional Stark-like term. By adapting a method recently introduced by Braak [Phys. Rev. Lett. {\bf…

Quantum Physics · Physics 2023-09-08 Hans-Peter Eckle , Henrik Johannesson
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