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The interaction of a two-level atom with a single-mode quantized field is one of the simplest models in quantum optics. Under the rotating wave approximation, it is known as the Jaynes-Cummings model and without it as the Rabi model.…

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

Accessing chaos in the quantum Rabi model (QRM) usually requires operating far from resonance, combined with ultra- or deep-strong light-matter coupling. This makes direct experiments challenging. In this manuscript, we propose a solution…

Quantum Physics · Physics 2026-03-11 Yan-Song Hu , Yuan Qiu , Ye-Hong Chen , XinYu Zhao , Yan Xia

A parity deformed Jaynes-Cummings model (JCM) is introduced, which describes an interaction of a two-level atom with a $\lambda$-deformed quantized field. In the rotating wave approximation (RWA), all eigen-values and eigen-functions of…

Quantum Physics · Physics 2016-12-23 A. Dehghani , B. Mojaveri , S. Shirin , S. Amiri

The quantum Rabi model accepts analytical solutions in the so-called degenerate qubit and relativistic regimes with discrete and continuous spectrum, in that order.We show that solutions in the laboratory frame are the superposition of even…

Quantum Physics · Physics 2019-07-09 F. H. Maldonado-Villamizar , C. Huerta Alderete , B. M. Rodríguez-Lara

We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all…

High Energy Physics - Theory · Physics 2015-05-27 Ahmed Jellal , Abderrahim El Mouhafid , Mohammed Daoud

We consider multiphoton dynamics of a quantum system composed of a three-state atom (a qutrit) and a single-mode photonic field in the ultrastrong and deep strong coupling regimes, when the coupling strength is comparable to or larger than…

Quantum Physics · Physics 2015-10-26 H. K. Avetissian , A. K. Avetissian , G. F. Mkrtchian , O. V. Kibis

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…

A general time-dependent projection technique is applied to the study of the dynamics of quantum correlations in a system consisting of interacting fermionic and bosonic subsystems, described by the Jaynes-Cummings Hamiltonian. The…

Quantum Physics · Physics 2015-06-26 E. R. Takano Natti , A. F. R de Toledo Piza

The Jaynes-Cummings and quantum Rabi models are fundamental to cavity and circuit quantum electrodynamics, as they describe the simplest form of light-matter interaction, where a single qubit is coupled to a single bosonic mode. A scenario…

Quantum Physics · Physics 2025-06-11 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi

We propose a robust realization of the two-photon quantum Rabi model in a trapped-ion setting based on a continuous dynamical decoupling scheme. In this manner the magnetic dephasing noise, which is identified as the main obstacle to…

Quantum Physics · Physics 2017-06-28 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

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…

The quantum Rabi model describing the fundamental interaction between light and matter is a cornerstone of quantum physics. It predicts exotic phenomena like quantum phase transitions and ground-state entanglement in the…

Quantum Physics · Physics 2017-12-20 N. K. Langford , R. Sagastizabal , M. Kounalakis , C. Dickel , A. Bruno , F. Luthi , D. J. Thoen , A. Endo , L. DiCarlo

We study the ground state (GS) and excitation gap of anisotropic quantum Rabi model (QRM) which connects the fundamental QRM and the Jaynes-Cummings model (JCM). While the GS has a second-order quantum phase transition (QPT) in the low…

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

We study the ground states of the single- and two-qubit asymmetric Rabi models, in which the qubit-oscillator coupling strengths for the counterrotating-wave and corotating-wave interactions are unequal. We take the transformation method to…

Quantum Physics · Physics 2014-09-23 Li-Tuo Shen , Zhen-Biao Yang , Mei Lu , Rong-Xin Chen , Huai-Zhi Wu

Symmetry transformations have proved useful in determining the algebraic structure and internal dynamical properties of physical systems. In the quantum Rabi model, invariance under parity symmetry transformation has been used to obtain…

Quantum Physics · Physics 2022-02-11 Joseph Akeyo Omolo

The two-mode quantum Rabi model with bilinear coupling is studied using extended squeezed states. We derive $G$-functions for each Bargmann index $q$% . They share a common structure with the $G$-function of the one-photon and two-photon…

Quantum Physics · Physics 2015-11-30 Liwei Duan , Shu He , D. Braak , Qing-Hu Chen

We investigate the possibility of using a Rabi drive to tune the interactions in an atomic Fermi gas. Specifically, we consider the scenario where two fermion species (spins) are Rabi coupled and interacting with a third uncoupled species.…

The occurrence of a second-order superradiant quantum phase transition is brought to light in a quantum system consisting of two interacting qubits coupled to the same quantized field mode. We introduce an appropriate thermodynamic-like…

Quantum Physics · Physics 2025-02-06 R. Grimaudo , G. Falci , A. Messina , E. Paladino , A. Sergi , E. Solano , D. Valenti

Monochromatically driven two-level systems (i.e., Rabi models) are ubiquitous in various fields of physics. Though they have been exactly solved, the physical pictures in these exact solutions are not clear. Recently, approximate analytical…

Quantum Physics · Physics 2025-04-23 Yingying Han , Shuanghao Zhang , Meijuan Zhang , Q. Guan , Wenxian Zhang , Weidong Li