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In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher…

Optimization and Control · Mathematics 2019-09-06 Nicolas Augier , Ugo Boscain , Mario Sigalotti

We present a method for analyzing the phase noise of oscillators based on feedback driven high quality factor resonators. Our approach is to derive the phase drift of the oscillator by projecting the stochastic oscillator dynamics onto a…

Pattern Formation and Solitons · Physics 2015-10-28 Eyal Kenig , M. C. Cross

We show analytically that the collapse and revival in the population dynamics of the atom-cavity coupled system under the rotating wave approximation (RWA), valid only at very weak coupling, is an artifact as the atom-cavity coupling is…

Quantum Physics · Physics 2014-12-01 Shu He , Yang Zhao , Qing-Hu Chen

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

We present a theoretical study of single-qubit operations by oscillatory fields on various semiconductor platforms. We explicitly show how to perform faster gate operations by going beyond the universally-used rotating wave approximation…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 Yang Song , J. P. Kestner , Xin Wang , S. Das Sarma

Quantum variational algorithms (QVAs) are increasingly potent tools for simulating quantum many-body systems on noisy intermediate-scale quantum (NISQ) devices. This work examines the application of the Variational Quantum Eigensolver (VQE)…

Nuclear Theory · Physics 2026-01-28 Dhritimalya Roy , Somnath Nag

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

The standard quantum mechanical harmonic oscillator has an exact, dual relationship with a completely classical system: a classical particle running along a circle. Duality here means that there is a one-to-one relation between all…

Quantum Physics · Physics 2024-10-30 Gerard t Hooft

Beyond the rotating-wave approximation, the dynamics of a quantum oscillator interacting strongly and off-resonantly with a two-level system exhibit beatings, whose period equals the revival time of the two-level system. On a longer time…

Mesoscale and Nanoscale Physics · Physics 2009-07-10 Titus Sandu

In this study, we investigate the dynamics of the quantum kicked rotor in the near-resonant regime and observe distinct caustic structures, such as recurring cusps, cusp oscillations, and reticular cusp patterns in high-order resonant…

Quantum Physics · Physics 2026-02-12 Yi Cao , Shaowen Lan , Bin Sun , Jie Liu

We consider three two-level atoms inside a one-dimensional cavity, interacting with the electromagnetic field in the rotating wave approximation (RWA), commonly used in the atom-radiation interaction. One of the three atoms is initially…

Quantum Physics · Physics 2009-11-11 I. Dolce , R. Passante , F. Persico

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a…

Dynamical Systems · Mathematics 2015-10-26 Anna Maria Cherubini , Jeroen S. W. Lamb , Martin Rasmussen , Yuzuru Sato

We investigate the nonlinear dynamics of a mesoscopic driven Duffing oscillator in a quantum regime. In terms of Wigner function, we identify the nature of state near the bifurcation point, and analyze the transient process which reveals…

Quantum Physics · Physics 2010-05-25 Lingzhen Guo , Zhigang Zheng , Xin-Qi Li

The direct monitoring of a rotating detonation engine (RDE) combustion chamber has enabled the observation of combustion front dynamics that are composed of a number of co- and/or counter-rotating coherent traveling shock waves whose…

Dynamical Systems · Mathematics 2021-05-19 Ariana Mendible , James Koch , Henning Lange , Steven L. Brunton , J. Nathan Kutz

We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus,…

Quantum Physics · Physics 2022-12-22 Ye-Hong Chen , Adam Miranowicz , Xi Chen , Yan Xia , Franco Nori

The problem of a driven quantum system coupled to a bath and coherently driven is usually treated using either of two approaches: Employing the common secular approximation in the lab frame (as usually done in the context of atomic physics)…

Quantum Physics · Physics 2019-12-05 Gal Shavit , Baruch Horovitz , Moshe Goldstein

The rigorous coupled-wave analysis (RCWA) is one of the most successful and widely used methods for modeling periodic optical structures. It yields fast convergence of the electromagnetic far-field and has been adapted to model various…

Optics · Physics 2015-07-24 Martin Weismann , Dominic F. G. Gallagher , Nicolae C. Panoiu

Recent advances in levitated optomechanics provide new perspectives for the use of rotational degrees of freedom for the development of quantum technologies as well as for testing fundamental physics. As for the translational case, their…

Quantum Physics · Physics 2021-03-30 Matteo Carlesso , Hamid Reza Naeij , Angelo Bassi

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we study an anharmonic oscillator driven by a periodic external…

Statistical Mechanics · Physics 2020-08-26 Mattes Heerwagen , Andreas Engel

The resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by tuning up either the coefficient of the fractional damping or…

Classical Physics · Physics 2023-04-13 Fernando Olivar-Romero , Oscar Rosas-Ortiz