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The interaction of a two-level system (TLS) with a single bosonic mode is one of the most fundamental processes in quantum optics. Microscopically, it is described by the quantum Rabi model (QRM). Here, we propose an implementation of this…

Quantum Physics · Physics 2018-08-15 P. Schneeweiss , A. Dareau , C. Sayrin

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM). The wave function is a weighted superposition of squeezed coherent states entangled with non-orthogonal qubit…

Quantum Physics · Physics 2021-01-15 Zi-Min Li , Devid Ferri , Murray T. Batchelor

The interaction of a quantum two-level system with a resonant driving field results in the emergence of Rabi oscillations, which are the hallmark of a controlled manipulation of a quantum state on the Bloch sphere. This all-optical coherent…

We study quantum optics with the atoms coupled to the quantized electromagnetic (EM) field in a non-inertial reference frame by making use of quantum field theory in curved spacetime. We rigorously establish the microscopic model for a…

Quantum Physics · Physics 2015-08-03 Sheng-Wen Li , Z. H. Wang , Lan Zhou , C. P. Sun

The purpose of this paper is to study the exceptional eigenvalues of the asymmetric quantum Rabi models (AQRM), specifically, to determine the degeneracy of their eigenstates. Here, the Hamiltonian $H^{\epsilon}_{\text{Rabi}}$ of the AQRM…

Mathematical Physics · Physics 2021-01-18 Kazufumi Kimoto , Cid Reyes-Bustos , Masato Wakayama

The aim of this paper is a better understanding for the eigenstates of the asymmetric quantum Rabi model by Lie algebra representations of $\mathfrak{sl}_2$. We define a second order element of the universal enveloping algebra…

Mathematical Physics · Physics 2017-04-26 Masato Wakayama

We explore the quantum-classical crossover in the behaviour of a quantum field mode. The quantum behaviour of a two-state system - a qubit - coupled to the field is used as a probe. Collapse and revival of the qubit inversion form the…

Quantum Physics · Physics 2009-03-24 M. J. Everitt , W. J. Munro , T. P. Spiller

We demonstrate that four-wave mixing processes in high-quality non-linear resonators can lead to Rabi-like oscillations in photon occupation numbers and second-order correlation functions, being a characteristic feature of the presence of…

Quantum Physics · Physics 2016-03-01 Y. Sherkunov , David M. Whittaker , Vladimir Falko

We establish an approximate equivalence between a generalised quantum Rabi model and its nth order counterparts where spin-boson interactions are nonlinear as they comprise a simultaneous exchange of $n$ bosonic excitations. Although there…

Quantum Physics · Physics 2018-10-02 Jorge Casanova , Ricardo Puebla , Hector Moya-Cessa , Martin B. Plenio

We investigate the spectrum of energy and eigenstates of a hybrid cavity optomechanical system, where a cavity field mode interacts with a mechanical mode of a vibrating end mirror via radiation pressure and with a two level atom via…

Quantum Physics · Physics 2023-03-29 Wallace H. Montaño , Jesús A. Maytorena

We study the Rabi model composed of three qubits coupled to a harmonic oscillator without involving the rotating-wave approximation. We show that the ground state of the three-qubit Rabi model can be analytically treated by using the…

Quantum Physics · Physics 2013-10-30 Li-Tuo Shen , Zhen-Biao Yang , Rong-Xin Chen

In this paper, we uncover the elusive level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) when the bias parameter of qubit is an even multiple of the renormalized cavity frequency. Due to the absence of any…

Quantum Physics · Physics 2021-07-21 You-Fei Xie , Qing-Hu Chen

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

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

Entanglement and quantum squeezing have wide applications in quantum technologies due to their non-classical characteristics. Here we study entanglement and quantum squeezing in an open spin-optomechanical system, in which a Rabi model (a…

Quantum Physics · Physics 2020-02-19 Zhucheng Zhang , Xiaoguang Wang

An implicit formula for the spectrum of the two-photon Rabi model was presented by Travenec in Phys. Rev. A 85, 043805 (2012) in analogy to the method of Braak [Phys. Rev. Lett. 107, 100401 (2011)]. The spectrum is given by common zeros of…

Mathematical Physics · Physics 2016-05-03 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

Two-photon Rabi splitting in a cavity-dot system provides a basis for multi-qubit coherent control in quantum photonic network. Here we report on two-photon Rabi splitting in a strongly coupled cavity-dot system. The quantum dot was grown…

We consider the coupling-strength growth of the Rabi model from the point of the view of SUSYQM. We show that the Rabi model takes the supersymmetric system to the spontaneous supersymmetry breaking as its coupling strength g grows lager…

Quantum Physics · Physics 2015-03-17 Masao Hirokawa

The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances in the gRM and derive…

Quantum Physics · Physics 2020-11-12 Ken K. W. Ma
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