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Related papers: Exact real-time dynamics of the quantum Rabi model

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Using extended coherent states, an analytically exact study has been carried out for the quantum Rabi model with two equivalent qubits. Compact transcendental functions of one variable have been derived leading to exact solutions. The…

Quantum Physics · Physics 2015-06-18 Hui Wang , Shu He , Liwei Duan , Yang Zhao , Qing-Hu Chen

We study the dynamical properties of the quantum Rabi model within a systematic expansion method. Based on the observation that the parity symmetry of the Rabi model is kept during the evolution of the states, we decompose the initial state…

Quantum Physics · Physics 2017-05-11 Binglu Hu , Huili Zhou , Shujie Chen , Gao Xianlong , Kelin Wang

Two-qubit system is the foundation of constructing the universal quantum gate. We have studied the two-qubit Rabi model for the general case and its generalizations with dipole, XXX and XYZ Heisenberg qubit-qubit interactions, which are…

Quantum Physics · Physics 2014-06-17 Jie Peng , Zhongzhou Ren , Daniel Braak , Guangjie Guo , Guoxing Ju , Xin Zhang , Xiaoyong Guo

We study the quantum Rabi model within the framework of the analytical solution developed in Phys. Rev. Lett. 107,100401 (2011). In particular, through time-dependent correlation functions, we give a quantitative criterion for classifying…

In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the…

Quantum Physics · Physics 2023-11-17 Xilin Lu , Hui Li , Jia-Kai Shi , Li-Bao Fan , Vladimir Mangazeev , Zi-Min Li , Murray T. Batchelor

Using extended coherent states, an analytical exact study has been carried out for the quantum Rabi model (QRM) with two arbitrary qubits in a very concise way. The $G$-functions with $2 \times 2$ determinants are generally derived. For the…

Quantum Physics · Physics 2015-06-19 Liwei Duan , Shu He , Qing-Hu Chen

It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions. These are located precisely at the exceptional points of the spectrum, the boundaries of the…

Quantum Physics · Physics 2025-02-12 M. Baradaran , D. Braak , L. M. Nieto , S. Zarrinkamar

An analytical approach is proposed to study the two-photon, two-mode and intensity-dependent Rabi models. By virtue of the su(1,1) Lie algebra, all of them can be unified to the same Hamiltonian with $\mathcal{Z}_2$ symmetry. There exist…

Quantum Physics · Physics 2023-02-28 Liwei Duan

The quantum Rabi model can be solved exactly by the Bargmann transformation from real coordinate to complex variable recently [Phys. Rev. Lett. \textbf{107}, 100401 (2011)]. By the extended coherent states, we recover this solution in an…

Quantum Physics · Physics 2015-06-04 Qing-Hu Chen , Chen Wang , Shu He , Tao Liu , Ke-Lin Wang

We investigate the emergence of semiclassical dynamics in the quantum Rabi model using a recently developed limiting procedure that formally establishes correspondence with the semiclassical Rabi Hamiltonian [E. K. Twyeffort Irish and A. D.…

Quantum Physics · Physics 2026-04-13 H. F. A. Coleman , R. A. Morrison , A. D. Armour , E. K. Twyeffort

We study the two-qubit Rabi model in the most general case where the qubits are different from each other. The spectrum of the system in the ultrastrong-coupling regime is shown to converge to two forced oscillator chains by perturbation…

Quantum Physics · Physics 2013-07-31 S. A. Chilingaryan , B. M. Rodríguez-Lara

We investigate a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a system of two linear differential equations with one…

Mathematical Physics · Physics 2015-04-23 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable…

Quantum Physics · Physics 2017-09-13 Andrey Pereverzev , Eric R. Bittner

In this report, we have studied exceptional spectra of the two-qubit quantum Rabi model in two situations. Firstly, an exceptional spectra is achieved in resonant condition, in which the frequencies of two qubit and photon field satisfy…

Quantum Physics · Physics 2016-10-11 Zhanyuan Yan , Bingbing Xu , Zehui Yan

We analyze the dynamics of the quantum Rabi model for two qubits interacting through a common bosonic field mode (resonator), focusing on the generation and detection of maximally entangled Bell states. We obtain analytical results for the…

Quantum Physics · Physics 2016-11-15 Matteo Bina , Stefano Maffezzoli Felis , Stefano Olivares

Quasi-exactly solvable Rabi model is investigated within the framework of the Bargmann Hilbert space of analytic functions ${\cal B}$. On applying the theory of orthogonal polynomials, the eigenvalue equation and eigenfunctions are shown to…

Quantum Physics · Physics 2013-10-21 Alexander Moroz

The quantum Rabi model is essential for understanding interacting quantum systems. It serves as the simplest non-integrable yet solvable model describing the interaction between a two-level system and a single mode of a bosonic field. In…

Quantum Physics · Physics 2024-01-12 Chon-Fai Kam , Yang Chen

We theoretically analyze and simulate the temporal dynamics of strongly coupled quantum dot-cavity system driven by a resonant laser pulse. We observe the signature of Rabi oscillation in the time resolved response of the system (i.e., in…

Quantum Physics · Physics 2012-03-09 Arka Majumdar , Dirk Englund , Michal Bajcsy , Jelena Vuckovic

Squeezing is essential to many quantum technologies and our understanding of quantum physics. Here we develop a theory of steady-state squeezing that can be generated in the closed and open quantum Rabi as well as Dicke model. To this end,…

Quantum Physics · Physics 2024-01-08 Karol Gietka , Christoph Hotter , Helmut Ritsch

We realize a photonic analog simulator of the quantum Rabi model, based on light transport in femtosecond-laser-written waveguide superlattices, which provides an experimentally accessible testbed to explore the physics of light-matter…

Quantum Physics · Physics 2012-05-14 Andrea Crespi , Stefano Longhi , Roberto Osellame
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