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The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in…

Quantum Physics · Physics 2021-09-10 Zi-Min Li , Devid Ferri , David Tilbrook , Murray T. Batchelor

Quantum Rabi model (QRM) is widely used for the analysis of the radiation-matter interaction at the fundamental level in cavity quantum electrodynamics. Typically the QRM Hamiltonian includes only $\boldsymbol{\mathsf{p}} \cdot…

Quantum Physics · Physics 2020-02-20 I. D. Feranchuk , N. Q. San , A. U. Leonau , O. D. Skoromnik

A generalized quantum Rabi Hamiltonian with both one- and two-photon terms has emerged in the circuit quantum electrodynamics system for a decade. The usual parity symmetry is broken naturally in the simultaneous presence of both couplings,…

Quantum Physics · Physics 2019-01-04 You-Fei Xie , Liwei Duan , Qing-Hu Chen

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,…

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system.…

Quantum Physics · Physics 2022-07-25 Zu-Jian Ying , Simone Felicetti , Gang Liu , Daniel Braak

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

Quantum Rabi model (QRM) is a fundamental model for light-matter interactions, the finite-component quantum phase transition (QPT) in the QRM has established a paradigmatic application for critical quantum metrology (CQM). However, such a…

Quantum Physics · Physics 2026-05-12 Qiu-Yi Chen , Feng Qiao , Zu-Jian Ying

The Rabi model plays a fundamental role in understanding light-matter interaction. It reduces to the Jaynes-Cummings model via the rotating-wave approximation, which is applicable only to the cases of near resonance and weak coupling.…

Quantum Physics · Physics 2015-11-13 Zu-Jian Ying , Maoxin Liu , Hong-Gang Luo , Hai-Qing Lin , J. Q. You

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

Quantum Rabi model (QRM) is fascinating not only because of its broad relevance and but also due to its few-body quantum phase transition. In practice both the bias and the nonlinear coupling in QRM are important controlling parameters in…

Quantum Physics · Physics 2021-06-03 Zu-Jian Ying

Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the…

Quantum Physics · Physics 2018-06-01 Yimin Wang , Wen-Long You , Maoxin Liu , Yu-Li Dong , Hong-Gang Luo , G. Romero , J. Q. You

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 quantum Rabi model, which describes the interaction between a simplified atom and a mode of the electromagnetic field, is a cornerstone of modern quantum optics. One of the key assumptions of the model is that the `atom' is a perfect…

Quantum Physics · Physics 2025-04-09 Tabitha Doicin , Andrew D. Armour , Tommaso Tufarelli

The asymmetric quantum Rabi model (AQRM) is a fundamental model in quantum optics describing the interaction of light and matter. Besides its immediate physical interest, the AQRM possesses an intriguing mathematical structure which is far…

Mathematical Physics · Physics 2024-02-12 Daniel Braak , Linh Thi Hoai Nguyen , Cid Reyes-Bustos , Masato Wakayama

A natural extension of the non-Hermitian qubit is to place it in a single-mode cavity. This setup corresponds to the quantum Rabi model (QRM) with a purely imaginary bias on the qubit, exhibiting parity-time ($\mathcal{P}\mathcal{T}$)…

Quantum Physics · Physics 2025-10-13 Yi-Cheng Wang , Jiong Li , Li-Wei Duan , Qing-Hu Chen

The asymmetric quantum Rabi model (AQRM) has a broken $\mathbb{Z}_2$ symmetry, with generally a non-degenerate eigenvalue spectrum. In some special cases where the asymmetric parameter is a multiple of the cavity frequency, stable level…

Quantum Physics · Physics 2021-02-24 Zi-Min Li , Murray T. Batchelor

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 analytical exact solutions to the mixed quantum Rabi model (QRM) including both one- and two-photon terms are found by using Bogoliubov operators. Transcendental functions in terms of $4 \times 4$ determinants responsible for the exact…

Quantum Physics · Physics 2019-12-06 Liwei Duan , You-Fei Xie , Qing-Hu Chen

The quantum Rabi model (QRM) is used to describe the light-matter interaction at the quantum level in Cavity Quantum Electrodynamics (Cavity QED). It consists of a two-level system (atom or qubit) coupled to a single-mode quantum field, and…

Quantum Physics · Physics 2024-09-10 Zakaria Boutakka , Zoubida Sakhi , Mohamed Bennai

We study the system involving mutual interaction between three qubits and an oscillator within the ultrastrong coupling regime. We apply adiabatic approximation approach to explore two extreme regimes: (i) the oscillator's frequency is far…

Quantum Physics · Physics 2014-02-12 Li-Tuo Shen , Rong-Xin Chen , Huai-Zhi Wu , Zhen-Biao Yang
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