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An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by…

Quantum Physics · Physics 2019-04-23 Bin-Bin Mao , Maoxin Liu , Wei Wu , Liangsheng Li , Zu-Jian Ying , Hong-Gang Luo

The Rabi model describes the simplest nontrivial interaction between a few-level system and a bosonic mode, featuring in multiple seemingly unrelated systems of importance to quantum science and technology. While exact expressions for the…

Quantum Physics · Physics 2021-11-03 David H. Wu , Victor V. Albert

We present a mean-photon-number dependent variational method, which works well in whole coupling regime if the photon energy is dominant over the spin-flipping, to evaluate the properties of the Rabi model for both the ground state and the…

Quantum Physics · Physics 2017-02-24 Maoxin Liu , Zu-Jian Ying , Jun-Hong An , Hong-Gang Luo

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

Quantum Physics · Physics 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms…

Quantum Physics · Physics 2015-01-14 Yu-Yu Zhang , Qing-Hu Chen

We investigate the spectrum of energy and eigenstates of a hybrid cavity optomechanical system, where a cavity field mode interacts with a mechanical mode of a vibrating end mirror via radiation pressure and with a two level atom via…

Quantum Physics · Physics 2023-03-29 Wallace H. Montaño , Jesús A. Maytorena

Generalized squeezing rotating-wave approximation (GSRWA) is proposed by employing both the displacement and the squeezing transformations. A solvable Hamiltonian is reformulated in the same form as the ordinary RWA ones. For a qubit…

Quantum Physics · Physics 2016-12-21 Yu-Yu Zhang

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

The rotating wave approximation (RWA) plays a central role in the quantum dynamics of two-level systems. We derive corrections to the RWA using the renormalization group approach to asymptotic analysis. We study both the Rabi and…

Quantum Physics · Physics 2023-11-07 Peng Wang , Erik Hiltunen , John C Schotland

We study the geometric curvature and phase of the Rabi model. Under the rotating-wave approximation (RWA), we apply the gauge independent Berry curvature over a surface integral to calculate the Berry phase of the eigenstates for both…

Quantum Physics · Physics 2015-12-22 Lijun Mao , Sainan Huai , Liping Guo , Yunbo Zhang

We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM). The wave function is a weighted superposition of squeezed coherent states entangled with non-orthogonal qubit…

Quantum Physics · Physics 2021-01-15 Zi-Min Li , Devid Ferri , Murray T. Batchelor

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

We study Rabi oscillations in a two-level system within the semiclassical approximation as an archetype test field of the Averaging Method (AM). The population transfer between the two levels is approached within the first and the second…

Quantum Physics · Physics 2021-10-14 L. Chalkopiadis , C. Simserides

We present a novel approach called the intermediate rotating wave approximation (IRWA), which employs a time-averaging method to encapsulate the dynamics of light-matter interaction from strong to ultrastrong coupling regime. In contrast to…

Quantum Physics · Physics 2015-02-11 Yimin Wang , Jing Yan Haw

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 single-mode spin-boson model exhibits behavior not included in the rotating wave approximation (RWA) in the ultra and deep-strong coupling regimes, where counter-rotating contributions become important. We introduce a symmetric rotating…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Victor V. Albert , Gregory D. Scholes , Paul Brumer

The interaction of qubits with quantized modes of electromagnetic fields has been largely addressed in the quantum optics literature under the rotating wave approximation (RWA), where rapid oscillating terms in the qubit-mode interaction…

Quantum Physics · Physics 2017-06-06 P. C. Cárdenas , W. S. Teixeira , F. L. Semião

The quantum Rabi model is a widespread description of the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation (RWA) for the multi-atom generalization of the quantum Rabi model: the Dicke model. Precisely, we bound the norm of the difference…

Quantum Physics · Physics 2026-02-09 Leonhard Richter , Daniel Burgarth , Davide Lonigro

The quantum Rabi model is a widespread description for the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

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