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Parity describing the symmetry of quantum mechanics wavefunction under space inversion transformation not only plays an essential role in solving quantum systems but also can be used to manipulate and measure the motional quantum states of…

Quantum Physics · Physics 2022-10-04 Yun-Tong Yang , Junpeng Liu , Hong-Gang Luo

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

The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $\epsilon\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $\epsilon$. Such level crossings are expected to be associated with some hidden…

Quantum Physics · Physics 2021-03-05 Vladimir V. Mangazeev , Murray T. Batchelor , Vladimir V. Bazhanov

We give a mathematical procedure to obtain the adiabatic approximation for the generalized quantum Rabi Hamiltonian both without and with a quadratic interaction. We consider the Hamiltonian as the energy of a model describing the…

Quantum Physics · Physics 2018-09-19 Masao Hirokawa

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

It has been observed that the asymmetric quantum Rabi model (QRM), which does not possess any obvious symmetry, exhibits energy level crossings, which are often associated with symmetries. This observation suggests that there is in fact a…

Quantum Physics · Physics 2020-02-11 S. Ashhab

The anisotropic Rabi model, which was proposed recently, differs from the original Rabi model: the rotating and counter-rotating terms are governed by two different coupling constants. This feature allows us to vary the counter-rotating…

Quantum Physics · Physics 2015-03-24 Guofeng Zhang , Hanjie Zhu

A generalization of the quantum Rabi model is obtained by replacing the linear (dipole) coupling between the two-level system and the radiation mode by a non-linear expression in the creation and annihilation operators, corresponding to…

Quantum Physics · Physics 2025-03-11 Daniel Braak

Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space. The analytical expressions for the complete energy spectrum…

Mesoscale and Nanoscale Physics · Physics 2020-08-18 Degang Zhang

We map a quantum Rabi ring, consisting of $N$ cavities arranged in a ring geometry, into an effective magnetic model containing the XY exchange and the Dzyaloshinskii Moriya (DM) interactions. The analogue of the latter is induced by an…

Quantum Physics · Physics 2022-10-27 Diego Fallas Padilla , Han Pu , Guo-Jing Cheng , Yu-Yu Zhang

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

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…

We revisit the theoretical description of the ultrastrong light-matter interaction in terms of exactly solvable effective Hamiltonians. A perturbative approach based on polaronic and spin-dependent squeezing transformations provides an…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 P. Gartner , V. Moldoveanu

We study the ground state (GS) and excitation gap of anisotropic quantum Rabi model (QRM) which connects the fundamental QRM and the Jaynes-Cummings model (JCM). While the GS has a second-order quantum phase transition (QPT) in the low…

Quantum Physics · Physics 2023-05-19 Zu-Jian Ying

The quantum Rabi model describes the interaction between a two-level quantum system and a single bosonic mode. We propose a method to perform a quantum simulation of the quantum Rabi model introducing a novel implementation of the two-level…

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

The precise control of light-matter interaction serves as a cornerstone for diverse quantum technologies, spanning from quantum computing to advanced atom optics. Typical experiments often feature multi-mode fields and require atoms with…

Quantum Physics · Physics 2025-07-08 Sabrina Hartmann , Nicolija Momčilović , Alexander Friedrich

The interaction of a two-level system (TLS) with a single bosonic mode is one of the most fundamental processes in quantum optics. Microscopically, it is described by the quantum Rabi model (QRM). Here, we propose an implementation of this…

Quantum Physics · Physics 2018-08-15 P. Schneeweiss , A. Dareau , C. Sayrin

The anisotropic Rabi model (ARM), which features tunable Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) interactions, has remained challenging to realize fully. We present a circuit QED implementation that provides static control over…

Quantum Physics · Physics 2025-12-17 S. Mojtaba Tabatabaei , Babak Zare Rameshti , Mohsen Akbari

In the present paper we show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy using a…

Quantum Physics · Physics 2022-12-21 A. U. Leonau , N. Q. San , A. P. Ulyanenkov , O. D. Skoromnik , I. D. Feranchuk