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Related papers: Symmetric and Asymmetric Quantum Rabi Model

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A system evolving under the driven Jaynes--Cummings model will undergo a phase transition at a critical driving field amplitude. This transition is foreshadowed by a collapse of the quasienergy level spectra of the system and remains…

Quantum Physics · Physics 2018-08-22 R. Gutiérrez-Jáuregui , H. J. Carmichael

A quantum dot interacting with two resonant cavity modes is described by a two-mode Jaynes-Cummings model. Depending on the quantum dot energy level scheme, the interaction of a singly doped quantum dot with a cavity photon generates…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Florian Meier , David D. Awschalom

We study doubly degenerate (Juddian) eigenvalues for the Quantum Rabi Hamiltonian, a simple model of the interaction between a two-level atom and a single quantized mode of light. We prove a strong form of the density conjecture of Kimoto,…

Spectral Theory · Mathematics 2025-01-23 Rishi Kumar , Zeév Rudnick

We investigate theoretically the photo absorbtion of the cluster of alkali atoms embedded into a single mode quantum microcavity. We show that when the energy of the giant plasmonic resonance lies close to the energy of the cavity mode, the…

Mesoscale and Nanoscale Physics · Physics 2013-03-15 I. G. Savenko , R. G. Polozkov , I. A. Shelykh

We present a study on manipulation and enhancement of multiphoton bundles emission under a moderate atom-cavity coupling, by constructing a two-photon Jaynes-Cummings model integrated with Kerr nonlinearity in a single atom-cavity system.…

Quantum Physics · Physics 2024-09-04 Jing Tang , Yuangang Deng

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of a one dimensional Rabi-Hubbard model. The model consists of a lattice of Rabi systems coupled by a photon hopping term between near neighbor sites. For…

Other Condensed Matter · Physics 2017-01-10 T. Flottat , F. Hébert , V. G. Rousseau , G. G. Batrouni

The Jaynes-Cummings quantum optics model allows us to understand the dialogue between light and matter at its most fundamental level, which is crucial for advancements in quantum science and technology. Several generalizations of the model…

The multiphoton Jaynes-Cummings model is investigated and applications in quantum information science are explored. Considering the strong atom-field coupling regime and an $N$-photon interaction, a nonlinear driving field can perform an…

Quantum Physics · Physics 2019-04-01 Celso J. Villas-Boas , Daniel Z. Rossatto

An analytical approach is proposed to study the two-photon, two-mode and intensity-dependent Rabi models. By virtue of the su(1,1) Lie algebra, all of them can be unified to the same Hamiltonian with $\mathcal{Z}_2$ symmetry. There exist…

Quantum Physics · Physics 2023-02-28 Liwei Duan

We study the properties of a driven cavity coupled to several qubits in the framework of a dissipative Jaynes-Cummings model. We show that the rotating wave approximation (RWA) allows to reduce the description of original driven model to an…

Quantum Physics · Physics 2024-05-14 A. D. Chepelianskii , D. L. Shepelyansky

We show that photon coincidence spectroscopy can provide an unambiguous signature of two atoms simultaneously interacting with a quantised cavity field mode. We also show that the single-atom Jaynes-Cummings model can be probed effectively…

Quantum Physics · Physics 2007-05-23 L. Horvath , B. C. Sanders

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 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 realization of high-quality special nonclassical states beyond strong single atom-cavity coupling regime is a fundamental element in quantum information science. Here, we study the nonclassical photon emission in a single spin-1 atom…

Quantum Physics · Physics 2023-07-31 Jing Tang , Yuangang Deng

The dispersive regime of circuit QED is the main workhorse for todays quantum computing prototypes based on superconducting qubits. Analytic descriptions of this model typically rely on the rotating wave approximation of the interaction…

Quantum Physics · Physics 2020-07-15 Clemens Müller

A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a…

Quantum Physics · Physics 2015-05-18 Feng Pan , Xin Guan , Yin Wang , J. P. Draayer

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

We study and exactly solve the two-photon and k-photon Jaynes-Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the $SU(2)$ group and let…

Quantum Physics · Physics 2018-08-29 E. Choreño , D. Ojeda-Guillén , V. D. Granados

Using extended coherent states, an analytically exact study has been carried out for the quantum Rabi model with two equivalent qubits. Compact transcendental functions of one variable have been derived leading to exact solutions. The…

Quantum Physics · Physics 2015-06-18 Hui Wang , Shu He , Liwei Duan , Yang Zhao , Qing-Hu Chen

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