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We discuss a classical nonlinear oscillator, which is proved to be a superintegrable system for which the bounded motions are quasiperiodic oscillations and the unbounded (scattering) motions are represented by hyperbolic functions. This…

Mathematical Physics · Physics 2007-05-23 José F. Cariñena , Manuel F. Rañada , Mariano Santander

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method of solving nonlinear ordinary differential equations could be proved are formulated and elaborated. The generalization of…

Computational Physics · Physics 2009-11-07 V. B. Mandelzweig , F. Tabakin

Nonlinear optics is of crucial importance in several fields of science and technology with applications in frequency conversion, entangled-photon generation, self-referencing of frequency combs, crystal characterization, sensing, and…

Optics · Physics 2022-09-19 O. Dogadov , C. Trovatello , B. Yao , G. Soavi , G. Cerullo

Optical quasar spectra can be used to trace variations of the fine-structure constant alpha. Controversial results that have been published in last years suggest that in addition to to wavelength calibration problems systematic errors might…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Nils Prause , Dieter Reimers

Setting off from the classic input-output formalism, we develop a theoretical framework to characterise the Gaussian quantum channels relating the initial correlations of an open bosonic system to those of properly identified output modes.…

Quantum Physics · Physics 2012-10-01 Tommaso Tufarelli , Alex Retzker , Martin B. Plenio , Alessio Serafini

Optical kernel machines offer high throughput and low latency. A nonlinear optical kernel can handle complex nonlinear data, but power consumption is typically high with the conventional nonlinear optical approach. To overcome this issue,…

Optics · Physics 2025-11-25 SeungYun Han , Fei Xia , Sylvain Gigan , Bruno Loureiro , Hui Cao

The quantum computing paradigm in photonics currently relies on the multi-port interference in linear optical devices, which is intrinsically based on probabilistic measurements outcome and thus non-deterministic. Devising a fully…

Quantum Physics · Physics 2024-05-10 Francesco Scala , Davide Nigro , Dario Gerace

Processing quantum information on continuous variables requires a highly nonlinear element in order to attain universality. Noise reduction in processing such quantum information involves the use of a nonlinear phase state as a non-Gaussian…

Quantum Physics · Physics 2019-11-27 Darren W. Moore , Andrey A. Rakhubovsky , Radim Filip

Optical parametric process occurring in a photonic band-gap planar waveguide is studied from the point of view of nonclassical-light generation. Nonlinearly interacting optical fields are described by the generalized superposition of…

Quantum Physics · Physics 2009-11-10 Jan Perina , Concita Sibilia , Daniela Tricca , Mario Bertolotti

One of the main problems that optical quantum computing has to overcome is the efficient construction of two-photon gates. Theoretically these gates can be realized using Kerr-nonlinearities, but the techniques involved are experimentally…

Quantum Physics · Physics 2016-07-15 Pål Sundsøy , Egil Fjeldberg

High-rate quantum error correcting codes mitigate the imposing scale of fault-tolerant quantum computers but require efficient generation of non-local, many-body entanglement. We provide a linear-optical architecture with these properties,…

Type-II Optical Parametric Oscillators are efficient sources of quadrature squeezed or polarization squeezed light, intensity correlated beams, and entangled light. We review here the different levels of quantum correlations and…

Quantum Physics · Physics 2007-05-23 Julien Laurat , Thomas Coudreau , Claude Fabre

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

A major goal in optomechanics is to observe and control quantum behavior in a system consisting of a mechanical resonator coupled to an optical cavity. Work towards this goal has focused on increasing the strength of the coupling between…

Quantum Physics · Physics 2015-05-18 Jack C. Sankey , Cheng Yang , Benjamin M. Zwickl , Andrew M. Jayich , Jack G. E. Harris

We discuss a model of repeated measurements of position in a quantum system which is monitored for a finite amount of time with a finite instrumental error. In this framework we recover the optimum monitoring of a harmonic oscillator…

Quantum Physics · Physics 2009-10-30 Michael B. Mensky , Roberto Onofrio , Carlo Presilla

An all-optically driven strategy to govern a liquid crystalline collective molecular nonlinear oscillator is discussed. It does not require external feedbacks of any kind while the oscillator and a time-depending perturbation both are…

Soft Condensed Matter · Physics 2010-01-29 Dmitry O. Krimer , Etienne Brasselet

Optical parametric oscillators (OPOs) are widely utilized in photonics as classical and quantum light sources. Conventional OPOs produce co-propagating signal and idler waves that can be either degenerately or non-degenerately…

Optics · Physics 2025-05-05 Fengyan Yang , Jiacheng Xie , Yiyu Zhou , Yubo Wang , Chengxing He , Yu Guo , Hong X. Tang

In the paper we investigate the theory of quantum optical systems. As an application we integrate and describe the quantum optical systems which are generically related to the classical orthogonal polynomials. The family of coherent states…

Mathematical Physics · Physics 2014-11-03 Maciej Horowski , Anatol Odzijewicz , Agnieszka Tereszkiewicz

In the context of optical signal processing, quantum and quantum-inspired machine learning algorithms have massive potential for deployment. One of the applications is in error correction protocols for the received noisy signals. In some…