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The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances in the gRM and derive…

Quantum Physics · Physics 2020-11-12 Ken K. W. Ma

Finite Rate of Innovation (FRI) sampling theory enables reconstruction of classes of continuous non-bandlimited signals that have a small number of free parameters from their low-rate discrete samples. This task is often translated into a…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Vincent C. H. Leung , Jun-Jie Huang , Yonina C. Eldar , Pier Luigi Dragotti

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 present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model and…

Chaotic Dynamics · Physics 2015-10-01 R. Dubertrand , I. García-Mata , B. Georgeot , O. Giraud , G. Lemarié , J. Martin

We present a framework for the realization of dissipative evolutions of spin-boson models, including multiphoton exchange dynamics, as well as nonlinear transition rates. Our approach is based on the implementation of a generalized version…

Quantum Physics · Physics 2019-03-04 Ricardo Puebla , Jorge Casanova , Oussama Houhou , Enrique Solano , Mauro Paternostro

We present a flexible microscopic modeling framework for flopping-mode spin qubits that captures the spatial structure of the double-well confinement and magnetic-field-gradient profile beyond conventional low-energy approximations. Our…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Ashutosh Kinikar , Vukan Levajac , Kristof Moors , George Simion , Monica Benito , Bart Soree

The strong coupling regime is observed in a system of two-dimensional electrons whose cyclotron motion is coupled to an electro-magnetic mode in a Fabry-Perot cavity resonator. The Rabi splitting of eigenfrequencies of coupled motion is…

Mesoscale and Nanoscale Physics · Physics 2016-07-28 L. V. Abdurakhimov , R. Yamashiro , A. O. Badrutdinov , D. Konstantinov

In this paper we discuss both analytically and numerically the rich quantum dynamics of the spin-boson model driven by a time-independent field of photon. Interestingly, we predict a new Rabi oscillation, whose period is inversely…

Quantum Physics · Physics 2011-07-20 Qifeng Liang , Lixian Yu , Gang Chen , Suotang Jia

We show how to use properly the Bargmann space of entire functions in the analysis of the Rabi model. We are able to correct a serious error in recent papers on the topic and develop a corrected method of finding the spectrum applicable…

Mathematical Physics · Physics 2012-11-07 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

We studied the two-qubit quantum Rabi model and found its dark state solutions with at most N photons. One peculiar case presents when $N=3$, which has constant eigenenergy in the whole coupling regime and leads to level crossings within…

Quantum Physics · Physics 2024-06-05 Qiang Lin , Junlong Tian , Pinghua Tang , Jie Peng

Practical quantum state tomography is usually performed by carrying out repeated measurements on many copies of a given state. The accuracy of the reconstruction depends strongly on the dimensionality of the system and the number of copies…

Quantum Physics · Physics 2008-07-08 Alex Ling , Antia Lamas-Linares , Christian Kurtsiefer

We study the spectrum of the generalized Rabi model in which co- and counter-rotating terms have different coupling strengths. It is also equivalent to the model of a two-dimensional electron gas in a magnetic field with Rashba and…

Quantum Physics · Physics 2015-01-07 Michael Tomka , Omar El Araby , Mikhail Pletyukhov , Vladimir Gritsev

The key features of density-functional theory (DFT) within a minimalistic implementation of quantum electrodynamics are demonstrated, thus allowing to study elementary properties of quantum-electrodynamical density-functional theory…

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 experimental observation of quantum phase transitions predicted by the quantum Rabi model in quantum critical systems is usually challenging due to the lack of signature experimental observables associated with them. Here, we describe a…

We investigate the stability loss of invariant n-dimensional quasi-periodic tori during a double Hopf bifurcation, where at bifurcation the two normal frequencies are in normal-normal resonance. Invariants are used to analyse the normal…

Dynamical Systems · Mathematics 2020-01-27 Henk Broer , Heinz Hanßmann , Florian Wagener

The temperature sensitivity of a probe in equilibrium can be gauged by its thermal quantum Fisher information (QFI). It is known that probes exhibiting degeneracy in their energy-level structure can achieve larger sensitivities, while…

Quantum Physics · Physics 2026-02-16 Tabitha Doicin , Luis A. Correa , Jonas Glatthard , Andrew D. Armour , Gerardo Adesso

As a new method to determine the resonance frequency, Rabi-oscillation spectroscopy has been developed. In contrast to the conventional spectroscopy which draws the resonance curve, Rabi-oscillation spectroscopy fits the time evolution of…

The scientific interest in the analytical solution of the quantum Rabi model is due to the widespread use of this simple model in quantum optics, quantum computing, cavity QED, and nanoelectromechanical systems. This interest is related to…

Quantum Physics · Physics 2023-02-14 Andrei Ivanov