Semi-classical and quantum Rabi models: in celebration of 80 years

Braak, Daniel; Chen, Qing-Hu; Batchelor, Murray T.; Solano, E.

doi:10.1088/1751-8113/49/30/300301

Cited by 143 publications

(143 citation statements)

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“…The quantum Rabi model (QRM), which represents the simplest interaction between a two-level atom (qubit) and a light field (cavity), continues to inspire exciting developments in many fields ranging from quantum optics, quantum information science, and condensed matter physics [1]. The Hamiltonian is given by…”

Section: Introductionmentioning

confidence: 99%

“…The anisotropic QRM, where the coupling strength of the rotating-wave terms and counter-rotating wave terms is different, exhibits the first-order phase transitions [28]. These phenomena are obviously absent in the original linear isotropic QRM [1]. Grimsmo and Parkins conjecture that the nonlinear coupling manipulated by the dispersive energy shift would possibly induce a new superradiant phase at this single atom level if U < −2ω [21].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Rabi–Stark model: solutions and exotic energy spectra

Xie¹,

Duan²,

Chen³

2019

J. Phys. A: Math. Theor.

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The quantum Rabi-Stark model, where the linear dipole coupling and the nonlinear Stark-like coupling are present on an equal footing, are studied within the Bogoliubov operators approach. Transcendental functions responsible for the exact solutions are derived in a compact way, much simpler than previous ones obtained in the Bargmann representation. The zeros of transcendental functions reproduce completely the regular spectra. In terms of the explicit pole structure of these functions, two kinds of exceptional eigenvalues are obtained and distinguished in a transparent manner. Very interestingly, a first-order quantum phase transition indicated by level crossing of the ground state and the first excited state is induced by the positive nonlinear Starklike coupling, which is however absent in any previous isotropic quantum Rabi models. When the absolute value of the nonlinear coupling strength is equal to twice the cavity frequency, this model can be reduced to an effective quantum harmonic oscillator, and solutions are then obtained analytically. The spectra collapse phenomenon is observed at a critical coupling, while below this critical coupling, infinite discrete spectra accumulate into a finite energy from below.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum Rabi–Stark model: solutions and exotic energy spectra

Xie¹,

Duan²,

Chen³

2019

J. Phys. A: Math. Theor.

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“…The photon generation occurs as a result of time-variation of the transition frequency of the TLA or the atom-field coupling strength, while the macroscopic boundary conditions for the field remain stationary [19][20][21]. Ultimately, the photon creation relies on the presence of the counter-rotating terms (CRT) in the Rabi Hamiltonian (RH) [22], usually neglected under the rotating wave approximation (RWA) [23,24]. The time-dependent Rabi model can be implemented experimentally in the current circuit Quantum Electrodynamics (circuit QED) architecture [25][26][27][28][29][30][31][32][33][34] with artificial superconducting atoms coupled to microwave resonators, where DCE analogues were already observed both in a single-mirror and a cavity configurations [35,36].…”

Section: Introductionmentioning

confidence: 99%

Antidynamical Casimir effect as a resource for work extraction

2017

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We consider the quantum Rabi model with external time modulation of the atomic frequency, which can be employed to create excitations from the vacuum state of the electromagnetic field as a consequence of the dynamical Casimir effect. Excitations can also be systematically subtracted from the atom-field system by suitably adjusting the modulation frequency, in the so-called antidynamical Casimir effect (ADCE). We evaluate the quantum thermodynamical work and show that a realistic out-of-equilibrium finite-time protocol harnessing ADCE allows for work extraction from the system, whose amount can be much bigger then the modulation amplitude, |WADCE| Ω, in contrast to the case of very slow adiabatic modulations. We provide means to control work extraction in state-of-the-art experimental scenarios, where precise frequency adjustments or complete system isolation may be difficult to attain.

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“…One promising theoretical development which may have interesting experimental consequences on the quantum information side is the discovery of robust GHZ-like dark-states built from isolated exact solutions [126,127]. As stated elsewhere [165], the future of the quantum Rabi model and related models is very bright. We look forward to further developments.…”

Section: Discussionmentioning

confidence: 98%

The quantum Rabi model: solution and dynamics

Xie

Zhong

Batchelor

et al. 2017

J. Phys. A: Math. Theor.

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199

192

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Abstract. This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for various generalisations of the quantum Rabi model are also discussed. Results are also reviewed on the level statistics and the dynamics of the quantum Rabi model. The article concludes with an introductory overview of several experimental realisations of the quantum Rabi model. An outlook towards future developments is also given.

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Semi-classical and quantum Rabi models: in celebration of 80 years

Abstract: This is an introduction to the special issue collection of articles on Semiclassical and quantum Rabi models to be published in J. Phys. A to mark the 80th anniversary of the Rabi model.

Cited by 143 publications

References 20 publications

Quantum Rabi–Stark model: solutions and exotic energy spectra

Quantum Rabi–Stark model: solutions and exotic energy spectra

Antidynamical Casimir effect as a resource for work extraction

The quantum Rabi model: solution and dynamics

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