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We study the two-qubit asymmetric quantum Rabi model (AQRM) and find its dark-state solution. Such solutions have at most one photon and constant eigenenergy in the whole coupling regime, causing level crossings in the spectrum, although…

Quantum Physics · Physics 2024-06-11 Ze-Feng Lei , Junlong Tian , Jie Peng

Under resonant irradiation, a quantum system can undergo coherent (Rabi) oscillations in time. We report evidence for such oscillations in a _continuously_ observed three-Josephson-junction flux qubit, coupled to a high-quality tank circuit…

Rabi oscillations are periodic modulations of populations in two-level systems interacting with a time-varying field. They are ubiquitous in physics with applications in different areas such as photonics, nano-electronics, electron…

As the simplest and most fundamental model describing the interaction between light and matter, a breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength when the frequency of the…

Quantum Physics · Physics 2023-10-17 M. Li , Y. N. Wang , Z. Y. Song , Y. M. Zhao , X. L. Zhao , H. Y. Ma

We develop a method to find analytical solutions for the eigenstates of the quantum Rabi model. These include symmetric, anti-symmetric and asymmetric analytic solutions given in terms of the confluent Heun functions. Both regular and…

Quantum Physics · Physics 2013-10-01 Honghua Zhong , Qiongtao Xie , Murray Batchelor , Chaohong Lee

In this study, we develop a semi-analytical framework to solve generalized Jaynes-Tavis-Cummings Hamiltonians describing multi-qudit systems coupled via EM resonators. Besides the multi-level generalization we allow for an arbitrary number…

Quantum Physics · Physics 2018-11-27 H. W. L. Naus , R. Versluis

For studying the dynamics of a two-level system coupled to a quantum oscillator we have presented an analytical approach, the transformed rotating-wave approximation, which takes into account the effect of the counter-rotating terms but…

Quantum Physics · Physics 2015-05-13 Congjun Gan , Hang Zheng

We present the theory of interaction between a polar vibration in a semiconductor and an electromagnetic mode of a surrounding cavity. Tuning the cavity frequency near the transverse optical phonon frequency couples the phonon-induced…

Materials Science · Physics 2007-05-23 Hadley M. Lawler , Jason N. Byrd , Gavin K. Brennen

The Rabi frequency (coupling strength) of an electric-dipole transition is an important experimental parameter in laser-cooling and other atomic physics experiments. Though the relationship between Rabi frequency and atomic wavefunctions…

Atomic Physics · Physics 2008-04-30 B. E. King

Rabi measurements in atomic vapor cells are of current interest in a range of microwave imaging and sensing experiments, but are increasingly in a parameter space outside of theoretical studies of coherence defined by spin-exchange…

Atomic Physics · Physics 2022-08-02 Chris Kiehl , Daniel Wagner , Ting-Wei Hsu , Svenja Knappe , Cindy A. Regal , Tobias Thiele

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

We develop a realistic model of Rabi oscillations in a quantum-dot photodiode. Based in a multi-exciton density matrix formulation we show that for short pulses the two-level models fails and higher levels should be taken into account. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Villas-Boas , Sergio E. Ulloa , A. O. Govorov

Rabi oscillations are coherent transitions in a quantum two-level system under the influence of a resonant perturbation, with a much lower frequency dependent on the perturbation amplitude. These serve as one of the signatures of quantum…

Superconductivity · Physics 2008-07-14 S. N. Shevchenko , A. N. Omelyanchouk , A. M. Zagoskin , S. Savel'ev , F. Nori

Estimating a classical parameter encoded in the Hamiltonian of a quantum probe is a fundamental and well-understood task in quantum metrology. A textbook example is the estimation of a classical field's amplitude using a two-level probe, as…

Quantum Physics · Physics 2026-04-15 Ricard Ravell Rodríguez , Martí Perarnau-Llobet , Pavel Sekatski

The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we…

Quantum Physics · Physics 2024-02-21 Daniel Burgarth , Paolo Facchi , Robin Hillier , Marilena Ligabò

In the first part of the paper we study a perturbative model of the Rabi system of Quantum Optics. We are therefore able to describe, through Rellich's theory, an analytic expansion of finite families of eigenvalues, of arbitrary fixed…

Quantum Physics · Physics 2026-02-18 Marcello Malagutti , Alberto Parmeggiani

We have investigated vacuum Rabi oscillation of an atom coupled with single-mode cavity field exactly, and compared the results with that of J-C model. The results show that, there is damping Rabi oscillation for an atom, even in strong…

Quantum Physics · Physics 2009-11-13 Fa-Qiang Wang , Wei-Ci Liu , Rui-Sheng Liang

Techniques based on continued fractions to compute numerically the spectrum of the quantum Rabi model are reviewed. They are of two essentially different types. In the first case, the spectral condition is implemented using a representation…

Quantum Physics · Physics 2013-04-11 Daniel Braak

We study the Two Photon Quantum Rabi Model by way of its spectral functions and survival probabilities. This approach allows numerical precision with large truncation numbers, and thus exploration of the spectral collapse. We provide…

Quantum Physics · Physics 2019-05-01 Elena Lupo , Anna Napoli , Antonino Messina , Enrique Solano , I. L. Egusquiza

Using a time-dependent linear (Rabi) coupling between the components of a weakly interacting multicomponent Bose-Einstein condensate (BEC), we propose a protocol for transferring the wavefunction of one component to the other. This "Rabi…

Other Condensed Matter · Physics 2008-11-21 H. E. Nistazakis , Z. Rapti , D. J. Frantzeskakis , P. G. Kevrekidis , P. Sodano , A. Trombettoni
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