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The Rabi model plays a fundamental role in understanding light-matter interaction. It reduces to the Jaynes-Cummings model via the rotating-wave approximation, which is applicable only to the cases of near resonance and weak coupling.…

Quantum Physics · Physics 2015-11-13 Zu-Jian Ying , Maoxin Liu , Hong-Gang Luo , Hai-Qing Lin , J. Q. You

Recently, strong coupling regimes of superconducting qubits or quantum dots inside a micro-wave circuit cavity and BEC atoms inside an optical cavity were achieved experimentally. The strong coupling regimes in these systems were described…

Optics · Physics 2011-08-30 Jinwu Ye , CunLin Zhang

We show how to produce a fast quantum Rabi model with trapped ions. Its importance resides not only in the acceleration of the phenomena that may be achieved with these systems, from quantum gates to the generation of nonclassical states of…

Quantum Physics · Physics 2016-08-30 H. M. Moya-Cessa

We propose a Hamiltonian of ultracold spinless atoms in optical lattices including the two-body interaction of nearest neighbors, which reduces to the Bose-Hubbard model in weak interaction limit. An atom-pair hoping term appearing in the…

Other Condensed Matter · Physics 2009-11-13 J. -Q. Liang , J. -L. Liu , W. -D. Li , Z. -J. Li

We investigate one- and two-mode variants of the $\mathbb{Z}_3$-symmetric quantum Rabi model, which describe the interaction of a qutrit with one or two bosonic modes and are directly relevant for circuit-QED and spin-qudit platforms. We…

Quantum Physics · Physics 2025-09-11 Anatoliy I. Lotkov , Denis V. Kurlov , Valerii K. Kozin , Jelena Klinovaja , Daniel Loss

We discuss the equilibrium and out of equilibrium dynamics of cavity QED in presence of dissipation beyond the standard perturbative treatment of losses. Using the dynamical polaron \emph{ansatz} and Matrix Product State simulations, we…

Quantum Physics · Physics 2019-01-09 David Zueco , Juanjo García-Ripoll

The dynamics of a vibronic system in a lossy two-mode cavity is studied, with the first mode being resonant to the electronic transition and the second one being nearly resonant due to Raman transitions. We derive analytical solutions for…

Quantum Physics · Physics 2011-06-13 P. Grünwald , S. K. Singh , W. Vogel

We predict the occurrence of single-photon-induced entanglement and quantum superposition in a hybrid quantum model, introducing an optomechanical coupling into the Rabi model. Originally, it comes from the photon-dependent quantum property…

Quantum Physics · Physics 2018-03-29 Xin-You Lü , Gui-Lei Zhu , Li-Li Zheng , Ying Wu

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

In the present paper we show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy using a…

Quantum Physics · Physics 2022-12-21 A. U. Leonau , N. Q. San , A. P. Ulyanenkov , O. D. Skoromnik , I. D. Feranchuk

It is known that under resonance conditions, a group of strongly interacting bosonic atoms, trapped in a double-well potential, mimics a single particle, performing Rabi oscillations between the wells. By implication, all atoms need to…

Quantum Physics · Physics 2020-04-22 D. Sokolovski , X. Gutiérrez de la Cal , M. Pons

The time evolution equations for average values of population and relative phase of a strongly coupled two component BEC is derived analytically. The two components are two hyper-fine states coupled by an external laser that drives fast…

Condensed Matter · Physics 2009-10-31 Andal Narayanan , Hema Ramachandran

We investigate a tripartite quantum Rabi model (TQRM) wherein a bosonic mode concurrently couples to two spin-$1/2$ particles through a spin-spin interaction, resulting in a spin-spin-boson coupling -- a departure from conventional quantum…

Quantum Physics · Physics 2024-06-04 Thomas J. Hamlyn , Chi Zhang , Igor Lesanovsky , Weibin Li

The two-photon quantum Rabi model with quadratic coupling is studied using extended squeezed states and we derive $G$-functions for Bargmann index $q=1/4$ and $3/4$. The simple singularity structure of the $G$-function allows to draw…

Quantum Physics · Physics 2016-10-27 Liwei Duan , You-Fei Xie , Daniel Braak , Qing-Hu Chen

We present a full quantum theory for the dissipative dynamics of an optical cavity in the ultra-strong light-matter coupling regime, in which the vacuum Rabi frequency is comparable to the electronic transition frequency and the…

Other Condensed Matter · Physics 2009-11-11 Cristiano Ciuti , Iacopo Carusotto

We study spin dynamics for two electrons confined to a double quantum dot under the influence of an oscillating exchange interaction. This leads to driven Rabi oscillations between the $\ket{\uparrow\downarrow}$--state and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Klauser , W. A. Coish , Daniel Loss

Squeezed states of harmonic oscillators are a central resource for continuous-variable quantum sensing, computation and communication. Here we propose a method for the generation of very good approximations to highly squeezed vacuum states…

Quantum Physics · Physics 2021-04-21 Jacob Hastrup , Kimin Park , Radim Filip , Ulrik L. Andersen

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

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 investigate the polarization of a two-component three-dimensional fermionic gas made of repulsive alkali-metal atoms. The two pseudo-spin components correspond to two hyperfine states which are Rabi coupled. The presence of Rabi coupling…

Quantum Gases · Physics 2019-01-09 Vittorio Penna , Luca Salasnich