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We study the solvability of the time-independent matrix Schr\"odinger differential equations of the quantum Rabi model and its 2-photon and two-mode generalizations in Bargmann Hilbert spaces of entire functions. We show that the Rabi model…

Quantum Physics · Physics 2013-10-30 Yao-Zhong Zhang

Electrically driven spin resonance is a powerful technique for controlling semiconductor spin qubits. However, it faces challenges in qubit addressability and off-resonance driving in larger systems. We demonstrate coherent bichromatic Rabi…

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

The resonant interaction of laser light with atoms is analyzed from the time-dependent density functional theory perspective using a model Helium atom which can be solved exactly. It is found that in exact-exchange approximation the…

Atomic Physics · Physics 2015-05-13 M. Ruggenthaler , D. Bauer

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

A two-level atom interacting with a single radiation mode is considered, without the rotating-wave approximation, in the strong coupling regime. It is shown that, in agreement with the recent results on Rabi oscillations in a Josephson…

Quantum Physics · Physics 2009-11-07 Marco Frasca

The simple resonant Rabi oscillation of a two-level system in a single-mode coherent field reveals complex features at the mesoscopic scale, with oscillation collapses and revivals. Using slow circular Rydberg atoms interacting with a…

Quantum Physics · Physics 2019-10-09 F. Assemat , D. Grosso , A. Signoles , A. Facon , I. Dotsenko , S. Haroche , J. M. Raimond , M. Brune , S. Gleyzes

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

The exact quantum dynamics of a single spin-1/2 in a generic time-dependent classical magnetic field is investigated and compared with the quantum motion of a spin-1/2 studied by Rabi and Schwinger. The possibility of regarding the scenario…

Quantum Physics · Physics 2018-11-29 R. Grimaudo , A. S. M. de Castro , H. Nakazato , A. Messina

Transition to a nonrelativistic Pauli equation in Riemann space of constant positive curvature for a Dirac particle in presence of the Coulomb field is performed in the system of radial equations, exact solutions are constructed in terms of…

Mathematical Physics · Physics 2011-09-29 E. M. Ovsiyuk

We determine the relevant spinor valued wave functions for a two-dimensional quantum ring in the presence of Rashba-type spin-orbit interaction (SOI). The case of constant SOI strength is considered first, then we investigate the physical…

Quantum Physics · Physics 2015-11-23 Pétér Földi , Orsolya Kálmán , Mihály G. Benedict

When internal states of atoms are manipulated using coherent optical or radio-frequency (RF) radiation, it is essential to know the polarization of the radiation with respect to the quantization axis of the atom. We first present a…

Atomic Physics · Physics 2017-06-28 J. Koepsell , T. Thiele , J. Deiglmayr , A. Wallraff , F. Merkt

The squeezing of a Ge planar quantum dot enhances the Rabi frequency of electric dipole spin resonance by several orders of magnitude due to a strong Direct Rashba spin-orbit interaction in such geometries (Bosco et al 2021 Phys. Rev. B 104…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Bashab Dey , John Schliemann

We show that if the Rabi frequency is comparable to the Bohr frequency so that the rotating wave approximation is inappropriate, an extra oscillation is present with the Rabi oscillation. We discuss how the sensitivity of the degree of…

Quantum Physics · Physics 2007-05-23 M. S. Shahriar , Prabhakar Pradhan

Exciton-photon beats known as polariton Rabi oscillations in semiconductor microcavities are usually excited by short pulses of light. We consider a different pumping scheme, assuming a cw pumping of the Rabi oscillator from an exciton…

Mesoscale and Nanoscale Physics · Physics 2016-07-18 Nina S. Voronova , Andrei A. Elistratov , Yurii E. Lozovik

Semiclassical solutions of two-dimensional Schrodinger equation with spin-orbit interaction and smooth potential are considered. In the leading order, spin polarization is in-plane and follows the evolution of the electron momentum for a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , E. G. Mishchenko

The quantum-mechanical solution to the problem of radiative recombination of an electron in a Coulomb field, obtained in the approximation of the smallness of the electron coupling with the radiation field, has been known for a long time.…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Barabanov A. L. , Belotsky K. M. , Esipova E. A. , Kalashnikov D. S. , Letunov A. Yu

We have generalized Einstein coefficients and rate equations from quantum field theoretic point of view by bringing the fundamental processes and the quantum Rabi oscillation in a single footing for the light-matter interactions for nonzero…

Quantum Physics · Physics 2022-10-11 Najirul Islam , Shyamal Biswas

The interaction between atomic systems and electromagnetic fields is central to modern physics and emerging quantum technologies. The Rabi models, in their semiclassical and quantum versions, provide the simplest and most fundamental…

Quantum Physics · Physics 2025-09-03 Alexandre P. Costa , Alexandre V. Dodonov

We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. We prove existence and multiplicity…

Analysis of PDEs · Mathematics 2019-09-12 Nikolaos S. Papageorgiou , Vicenţiu D. Rădulescu , Dušan D. Repovš