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We study the dynamics of a quantum superconducting circuit which consists of a Josephson charge qubit, coupled capacitively to a current biased Josephson junction. Under certain conditions, the eigenstates of the qubit and the junction…

Superconductivity · Physics 2007-05-23 F. W. J. Hekking , O. Buisson , F. Balestro , M. G. Vergniory

In the first part of the paper we study a perturbative model of the Rabi system of Quantum Optics. We are therefore able to describe, through Rellich's theory, an analytic expansion of finite families of eigenvalues, of arbitrary fixed…

Quantum Physics · Physics 2026-02-18 Marcello Malagutti , Alberto Parmeggiani

We determine the Rabi oscillations for coherent and squeezed coherent states via one- and two-photon atomic transitions in two- and three-level atoms, respectively. The effect of squeezing coherent states is to reduce the large number of…

Quantum Physics · Physics 2020-01-07 Moorad Alexanian

Definition of a quantum corridor describing monitoring a quantum observable in the framework of the phenomenological restricted-path-integral (RPI) approach is generalized for the case of a finite resolution of time. The resulting evolution…

Quantum Physics · Physics 2009-11-06 Michael B. Mensky

Imaging the quantum motion of electrons not only in real-time, but also in real-space is essential to understand for example bond breaking and formation in molecules, and charge migration in peptides and biological systems. Time-resolved…

Atomic Physics · Physics 2012-07-20 Gopal Dixit , Oriol Vendrell , Robin Santra

We consider a non-relativistic quantum particle interacting with a singular potential supported by two parallel straight lines in the plane. We locate the essential spectrum under the hypothesis that the interaction asymptotically…

Spectral Theory · Mathematics 2014-06-12 Sylwia Kondej , David Krejcirik

We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio $\eta$ of the atom energy…

Quantum Physics · Physics 2020-08-17 Yan Zhang , Bin-Bin Mao , Dazhi Xu , Yu-Yu Zhang , Wen-Long You , Maoxin Liu , Hong-Gang Luo

Wave--particle duality is a cornerstone of quantum mechanics, traditionally formulated under definite causal order. We investigate how complementarity is modified when the temporal order of operations is coherently superposed, as in the…

Quantum Physics · Physics 2026-03-31 Mohd Asad Siddiqui , Md Qutubuddin , Tabish Qureshi

We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur. The modified master equation can avoid some unphysical predictions, such as excitations in the system at zero…

Quantum Physics · Physics 2024-11-07 Ye-Hong Chen , Zhi-Cheng Shi , Yu-Ran Zhang , Franco Nori , Yan Xia

We explore the nonlinear response of tailor-cut light-matter hybrid states in a novel regime, where both the Rabi frequency induced by a coherent driving field and the vacuum Rabi frequency set by a cavity field are comparable to the…

Quantum Physics · Physics 2021-05-05 J. Mornhinweg , M. Halbhuber , C. Ciuti , D. Bougeard , R. Huber , C. Lange

We consider a generalized version of the Rabi model that includes a nonlinear, dispersive-type atom-field interaction in addition to the usual linear dipole coupling, as well as cavity dissipation. An effective system of this sort arises,…

Quantum Physics · Physics 2014-08-27 Arne L. Grimsmo , Scott Parkins

The quantum dynamics of the coupling between a cavity optical field and a resonator microwave field via the electro-optic effect is studied. This coupling has the same form as the opto-mechanical coupling via radiation pressure, so all…

Quantum Physics · Physics 2010-07-02 Mankei Tsang

We study the difference between quantum and classical behavior in a pair of nonidentical cavities with second-harmonic generation. In the classical limit, each cavity has a limit-cycle solution, in which the photon number oscillates…

Quantum Physics · Physics 2013-09-04 Tony E. Lee , M. C. Cross

The quantum Rabi model is in the scientific spotlight due to the recent theoretical and experimental progress. Nevertheless, a full-fledged classification of its coupling regimes remains as a relevant open question. We propose a spectral…

Quantum Physics · Physics 2017-07-27 Daniel Z. Rossatto , Celso J. Villas-Bôas , Mikel Sanz , Enrique Solano

Within the low-energy effective field theories of QED and gravity, the low-energy speed of light or that of gravitational waves can typically be mildly superluminal in curved spacetimes. Related to this, small scattering time advances…

High Energy Physics - Theory · Physics 2020-10-28 Claudia de Rham , Andrew J. Tolley

Spectral collapse in the two-photon quantum Rabi model (tpQRM) has long been regarded as incompatible with quantum criticality due to the absence of a vanishing excitation gap. We show that, in the anisotropic tpQRM, spectral collapse…

Quantum Physics · Physics 2026-04-28 Jiong Li , Jun-ling Wang , Qing-Hu Chen , Hai-Qing Lin

We reconsider the periodically driven two level system and especially the Rabi problem with linear polarization. The Floquet theory of this problem can be reduced to its classical limit, i.e., to the investigation of periodic solutions of…

Quantum Physics · Physics 2018-08-15 Heinz-Jürgen Schmidt

We observe strong collective coupling between an optical cavity and the forbidden spin singlet to triplet optical transition $^1$S$_0$ to $^3$P$_1$ in an ensemble of $^{88}$Sr. Despite the transition being 1000 times weaker than a typical…

Atomic Physics · Physics 2016-02-10 Matthew A. Norcia , James K. Thompson

We demonstrate theoretically the parametric oscillator behavior of a two-level quantum system with broken inversion symmetry exposed to a strong electromagnetic field. A multitude of resonance frequencies and additional harmonics in the…

Quantum Physics · Physics 2009-01-12 O. V. Kibis , G. Ya. Slepyan , S. A. Maksimenko , A. Hoffmann

Understanding the causal influences that hold among parts of a system is critical both to explaining that system's natural behaviour and to controlling it through targeted interventions. In a quantum world, understanding causal relations is…

Quantum Physics · Physics 2018-01-22 Jean-Philippe W. MacLean , Katja Ried , Robert W. Spekkens , Kevin J. Resch
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