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The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

Fermi-Hubbard system with a periodically-modulated interaction has been recently shown to resonantly absorb energy at series of drive frequencies. In the present work, with the help of static perturbation theory we argue that driving…

Strongly Correlated Electrons · Physics 2019-08-07 Marcin Płodzień , Marcin M. Wysokiński

The squeezing effect arises in the interacting qubit-oscillator system is studied with the presence of a parametric oscillator in the Rabi model. Based on the generalized rotating wave approximation which works well in the wide range of…

Quantum Physics · Physics 2021-05-25 V. Yogesh , Prosenjit Maity

We propose a multilevel quantum heat engine with a working medium described by a generalized Rabi model which consists of a two-level system coupled to a single mode bosonic field. The model is constructed to be a continuum limit of a…

Quantum Physics · Physics 2015-03-05 Ferdi Altintas , Ali Ü. C. Hardal , Özgür E. Müstecaplıoğlu

We describe a procedure to systematically improve direct diagonalization results for few-particle systems trapped in one-dimensional harmonic potentials interacting by contact interactions. We start from the two-body problem to define a…

Quantum Gases · Physics 2022-06-30 Abel Rojo-Francàs , Felipe Isaule , Bruno Juliá-Díaz

We consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third order differential equations with…

Quantum Physics · Physics 2020-12-02 Heinz-Jürgen Schmidt

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

We utilize a discrete (sequential) measurement protocol to investigate quantum process tomography of a single two-level quantum system, with an unknown initial state, undergoing Rabi oscillations. The ignorance of the dynamical parameters…

We present a diagonalization method for generic matrix valued Hamiltonians based on a formal expansion in power of $\hbar $. Considering $\hbar $ as a running parameter, a differential equation connecting two diagonalization processes for…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Pierre Gosselin , Jocelyn Hanssen , Herve Mohrbach

In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the…

Quantum Physics · Physics 2023-11-17 Xilin Lu , Hui Li , Jia-Kai Shi , Li-Bao Fan , Vladimir Mangazeev , Zi-Min Li , Murray T. Batchelor

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

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon. After a…

Quantum Physics · Physics 2025-04-01 Moorad Alexanian

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

A Rabi dimer is used to model a recently reported circuit quantum electrodynamics system composed of two coupled transmission-line resonators with each coupled to one qubit. In this study, a phonon bath is adopted to mimic the multimode…

Quantum Physics · Physics 2018-11-28 Fulu Zheng , Yuyu Zhang , Lu Wang , Yadong Wei , Yang Zhao

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 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

We study a quantum dot strongly coupled to a single high-finesse optical microcavity mode. We use a rotating wave approximation method, commonly used in ion-laser interactions, tegether with the Lamb-Dicke approximation to obtain an…

Other Condensed Matter · Physics 2008-05-26 Jonas Larson , Hector Moya-Cessa

We obtain the exceptional part of the eigenspectrum of the generalised Rabi model, also known as the driven Rabi model, in terms of the roots of a set of algebraic equations. This approach provides a product form for the wavefunction…

Quantum Physics · Physics 2015-10-21 Zi-Min Li , Murray T. Batchelor

We introduce a new diagonalization method called quasi-sparse eigenvector diagonalization which finds the most important basis vectors of the low energy eigenstates of a quantum Hamiltonian. It can operate using any basis, either orthogonal…

High Energy Physics - Theory · Physics 2009-10-31 Dean Lee , Nathan Salwen , Daniel Lee

We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the Z2 symmetry of the quantum Rabi model allow us to build…

Quantum Physics · Physics 2016-07-20 Yimin Wang , Jiang Zhang , Chunfeng Wu , J. Q. You , G. Romero