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The quantum Rabi model (QRM) is a cornerstone in the study of light-matter interactions within cavity and circuit quantum electrodynamics (QED). It effectively captures the dynamics of a two-level system coupled to a single-mode resonator,…

We propose a quantum simulation of the quantum Rabi model in an atomic quantum dot, which is a single atom in a tight optical trap coupled to the quasiparticle modes of a superfluid Bose-Einstein condensate. This widely tunable setup allows…

Quantum Physics · Physics 2017-09-26 S. Felicetti , G. Romero , E. Solano , C. Sabín

Quantum simulations provide means to probe challenging problems within controllable quantum systems. However, implementing or simulating deep-strong nonlinear couplings between bosonic oscillators on physical platforms remains a challenge.…

Quantum Physics · Physics 2023-12-18 Kimin Park , Petr Marek , Radim Filip

Quantum correlations and non-classical states are indispensable resources for advancing quantum technologies, and their resilience at finite temperatures is crucial for practical experimental implementations. The two-qubit quantum Rabi…

The quantum Rabi model (QRM) describes the interaction between a two-level system (qubit) and a quantum harmonic oscillator. In the limit where the qubit frequency is smaller than the harmonic frequency, the QRM can be well approximated by…

Quantum Physics · Physics 2021-09-24 Zi-Min Li , Murray T. Batchelor

A tractable N-state Rabi Hamiltonian is introduced by extending the parity symmetry of the two-state model. The single-mode case provides a few-parameter description of a novel class of periodic systems, predicting that the ground state of…

Mesoscale and Nanoscale Physics · Physics 2012-05-03 Victor V. Albert

Symmetry is crucial for gaining insights into the fundamental properties of physical systems, bringing possibilities in studying exotic phenomena such as quantum phase transitions and ground state entanglement. Here, we experimentally…

Quantum Physics · Physics 2025-01-13 Xingyu Zhao , Qian Bin , Waner Hou , Yi Li , Yue Li , Yiheng Lin , Xin-You Lü , Jiangfeng Du

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…

Quantum Physics · Physics 2019-05-21 You-Fei Xie , Liwei Duan , Qing-Hu Chen

Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the 3D Maxwell-Bloch equations in ensembles of up to $10^4$ quantum dots, we observe features in Rabi…

Atomic and Molecular Clusters · Physics 2017-09-13 Connor Glosser , B. Shanker , Carlo Piermarocchi

We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 I. Pietikäinen , S. Danilin , K. S. Kumar , J. Tuorila , G. S. Paraoanu

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

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

By applying the Bogoliubov transformations and through the introduction of the Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the driven Rabi model without ${\cal Z}_2$ symmetry, and the 2-photon and two-mode…

Quantum Physics · Physics 2020-01-31 Yao-Zhong Zhang

The Rabi Hamiltonian, describing the coupling of a two-level system to a single quantized boson mode, is studied in the Bargmann-Fock representation. The corresponding system of differential equations is transformed into a canonical form in…

Quantum Physics · Physics 2009-10-30 Marek Szopa , Geert Mys , Arnout Ceulemans

The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$. It is shown here that the spectrum of the Rabi model coincides with the…

Quantum Physics · Physics 2013-12-03 Alexander Moroz

Quantum systems that undergo quantum phase transitions exhibit divergent susceptibility and can be exploited as probes to estimate physical parameters. We generalize the dynamic framework for criticality-enhanced quantum sensing by the…

Quantum Physics · Physics 2023-03-01 Xin Zhu , Jia-Hao Lü , Wen Ning , Fan Wu , Li-Tuo Shen , Zhen-Biao Yang , Shi-Biao Zheng

We study $\mathbb{Z}_3$-symmetric Rabi model that describes a three-level system coupled to two bosonic modes. We derive a mapping of the two-mode $\mathbb{Z}_3$ Rabi model onto a qubit-boson ring. This mapping allows us to formulate a…

Quantum Physics · Physics 2026-04-16 Anatoliy I. Lotkov , Valerii K. Kozin , Denis V. Kurlov , Jelena Klinovaja , Daniel Loss

We considered the semiclassical Rabi model, that is, a two-level system interacting with a single-mode, classical field. In resonance and for an arbitrary initial state of the system, we obtained a simple, approximate, and analytic solution…

Quantum Physics · Physics 2017-12-01 Luis Octavio Castanos Cervantes

We consider a generalized Rabi model formed by two identical qubits interacting with a common oscillator mode. In the near resonance configuration where the oscillator frequency is close to the transition frequency of the qubit, we…

Quantum Physics · Physics 2013-08-09 Kelvin M. C. Lee , C. K. Law

The Rabi-Stark model is a non-linear generalization of the quantum Rabi model including the dynamical Stark shift as a tunable term, which can be realized via quantum simulation on a cavity QED platform. When the Stark coupling becomes…

Quantum Physics · Physics 2024-06-13 Daniel Braak , Lei Cong , Hans-Peter Eckle , Henrik Johannesson , Elinor K. Twyeffort